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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 Pink Pink Pink Pink Black Black\nBlack Black Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPink Black Black Pink Black Black Black Black\nPink Black Black Pink Black Black Black Black\nPink Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black\nPink Black Black Pink Black Black Black Black\nPink Black Black Pink Black Black Black Black\nPink Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nRed Red Red Red Red Red Black\nRed Red Red Red Red Red Black\nRed Red Red Red Red Red Black\nRed Red Red Red Red Red Black\nRed Red Red Red Red Red Black\nRed Red Red Red Red Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Black Black Gray Black Black Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Black Black Gray Black Black Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Black Black Gray Black Black Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Black Orange 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 Gray Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Black Black\nBlack Black Black Gray 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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Black Black Gray Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nRed Black Black Black Black Black Black Black Black Pink\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Black Black Pink Black\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nRed Black Black Black Black Black Black Black Black Pink\n\n\nExample 2\nInput:\nRed Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black\nGreen Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nRed Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nGreen Black Black Black Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nOrange 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 Gray Black Black Black\nBlack Black Black Black Gray Black Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nRed Black Black Black Black Black Black Black Black Pink\n\nOutput:\nOrange 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 Pink Black Black Black\nBlack Black Black Black Pink Black Pink Pink Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Black Pink Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nRed Black Black Black Black Black Black Black Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nOrange Black Black Black Black Black Black Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Black Black Black Black Black Purple\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 Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Black\nOrange Black Black Black Black Black Black Black Black Brown\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBrown Brown Black Brown\nBlack Purple Purple Brown\nBrown Purple Purple Black\nBrown Black Brown Brown\n\nOutput:\nBrown Black Brown Brown\nBrown Purple Purple Black\nBlack Purple Purple Brown\nBrown Brown Black Brown\nBrown Brown Black Brown\nBlack Purple Purple Brown\nBrown Purple Purple Black\nBrown Black Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nPurple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown\nBlack Brown Brown Brown Black\n\nOutput:\nBlack Brown Brown Brown Black\nBrown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown\nBlack Brown Brown Brown Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGray Blue Pink Pink Pink\nBlack Black Red Orange Black\nGray Blue Pink Pink Pink\n\nOutput:\nGray Blue Pink Pink Pink\nBlack Black Red Orange Black\nGray Blue Pink Pink Pink\nGray Blue Pink Pink Pink\nBlack Black Red Orange Black\nGray Blue Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black\nBlack Black Black\nYellow Blue Blue\nBlue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black\nYellow Blue Blue\nYellow Blue Blue\nBlue 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 Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Yellow 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 Red Red Red Green Green\nGreen Green Green Green Green Green Green Green Green Green Red Red Red 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 Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray\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 Yellow Yellow Yellow 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:\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 Yellow Yellow Yellow Green Green\nGreen Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow 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 Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow\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\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Green Green Gray Gray Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
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] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Orange Black Orange Black Black Black Black Black Black Black Black\nOrange Black Black Orange Black Orange Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Orange Black Black Black Black Orange Black Orange Black\nOrange Black Black Orange Black Orange Orange Black Orange Black Black Orange\nOrange Orange Orange Black Black Black Black Black Black Orange Orange Orange\nBlack Orange Orange Black Black Orange Orange Black Black Orange Orange Black\nOrange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black\nOrange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Orange Orange Black Black Orange Orange Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Orange Orange Black Orange Black Black Black Black Black\nBlack Orange Black Orange Orange Black Black Black Black Black\nOrange Black Orange Black Orange Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Black Black Orange Black Black Black\nOrange Orange Orange Black Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Black Orange Black Black Black\nBlack Orange Orange Black Orange Orange Black Orange Orange Black\nBlack Orange Black Orange Orange Orange Orange Black Orange Black\nOrange Black Orange Black Orange Orange Black Orange Black Orange\n\n\nExample 3\nInput:\nBlack Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black\nGray Black Black Black Gray Black Black Black Black Black Black\n\nOutput:\nBlack Gray Gray Black Black Black Black Black Gray Gray Black\nGray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nBlack Gray Black Black Black Black Black Black Black Gray Black\nBlack Gray Gray Black Black Black Black Black Gray Gray Black\nGray Gray Gray Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Gray Black Gray Black Black Black Black\nGray Black Black Black Gray Black Gray Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Black Black Pink Black Black Black Black Black\nPink Black Pink Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black\nPink Black Pink Pink Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Pink Pink Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\nPink Black Black Pink Black Pink Black Black Pink\nPink Black Pink Black Black Black Pink Black Pink\nBlack Pink Black Black Black Black Black Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Black Pink Pink Black Pink Pink Black Black\nPink Black Pink Pink Black Pink Pink Black Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Yellow Black Purple Blue Black Purple Red Black\nBlack 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\nPink Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nOrange Black Purple Black Gray Pink Black Red Yellow Black Black Black Black\nBrown Black Yellow Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Pink Black Black Green Black Black\nBlack Black Black Black Red Black Black Black Pink Black Black Gray Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nYellow Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Gray Black Black Green\nBlack Black Purple Black Purple Black Black Black Black Black Black Black Brown\nBlack Black Black Pink Brown Black Black Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Black Black Red Black Red Red Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nRed Black Red Black Red Red Black Red Red Black Black Black Black\nRed Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Red Black Black\nBlack Black Black Black Red Black Black Black Red Black Black Red Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black\nRed Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Red Black Black Red\nBlack Black Red Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Red Red Black Black Black Black Black Black Black Red\n\n\nExample 2\nInput:\nGreen Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Purple Pink Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Orange Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Gray Black Pink Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nRed Yellow Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Pink Black Black Black Black\nGray Black Black Black Black Yellow Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Red Black Red Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black Black Black Yellow Black Brown\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Purple Black Black Black Gray Black Black Black Black Black Blue\nBlack Black Blue Pink Orange Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Purple\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nYellow Black Orange Black Brown Black Black Black Black Black Black Black\nBlack Red Black Black Orange Black Black Green Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Blue Black Black Black Black Orange Pink Brown Blue Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Red Black Red\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Red\nBlack Black Red Red Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nRed Black Red Black Red Black Black Black Black Black Black Black\nBlack Red Black Black Red Black Black Red Black Red Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Red Red Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Brown Black Purple Black Black Black Yellow\nBlack Pink Black Black Black Black Gray Black Black Black Black Black Black Red\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Gray Black Black Black Pink Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Red Black Blue\nPink Black Black Black Pink Black Black Black Black Green Black Black Black Yellow\nBlack Black Black Black Black Black Brown Black Black Orange Black Black Orange Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Green Black Black Black Gray Black Black Black Black Black\nPink Black Black Black Black Orange Black Blue Black Black Black Black Black Black\nBrown Black Black Black Orange Brown Black Black Black Brown Black Black Black Black\nBlack Black Black Blue Black Black Black Pink Gray Purple Black Black Black Black\nBlack Red 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 Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Red Black Black Black Red\nBlack Red Black Black Black Black Red Black Black Black Black Black Black Red\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Red Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Red Black Red\nRed Black Black Black Red Black Black Black Black Red Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Red Black Black Red Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Red Black Black Black Black Black\nRed Black Black Black Black Red Black Red Black Black Black Black Black Black\nRed Black Black Black Red Red Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Black Black Red Red Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\nBlue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue\n\nOutput:\nBlack Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue\nBlack Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue\nBlack Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black\n\n\nExample 2\nInput:\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink\n\nOutput:\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Gray Gray\n\n\nExample 3\nInput:\nBrown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple\nBrown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple\nPurple Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown\nPurple Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown\nBrown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple\nBrown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple\nPurple Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown\nPurple Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown\nBrown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple\nBrown Brown Purple Purple Brown Brown Purple Purple Brown Brown Purple Purple\nPurple Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown\nPurple Purple Brown Brown Purple Purple Brown Brown Purple Purple Brown Brown\n\nOutput:\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Yellow Yellow Brown Brown\nYellow Yellow Brown Brown Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Yellow Yellow Brown Brown\nYellow Yellow Brown Brown 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```\nYellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black 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 Brown Brown Brown Brown Black\nBlack Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Orange Black Black Black\nBlack Black Black Black Black 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 Brown Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue 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\nBlack Black Black Black Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Brown Brown Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Purple Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Purple Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Purple Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Purple Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Purple Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Purple Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Purple Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Brown Black Black\nBlack Black Black Black Black Black Black Black Black Brown Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Brown Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Black Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Orange Black Yellow Blue Black Black Black Black Black Black\nBlack Black Black Orange Blue Blue Blue Yellow Black Black Black Black Black\nBlack Black Black Orange Yellow Blue Blue Blue Black Black Black Black Black\nBlack Black Orange Orange Black Blue 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 Green Green Brown\nBlack Black Black Black Black Black Black Brown Green\nBlack Black Black Black Black Black Green Green Brown\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Red Black Red Red\nBlack Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Red Red Red Red\nBlack Orange Black Yellow Blue Black Black Black Black\nBlack Orange Blue Blue Blue Yellow Black Black Black\nBlack Orange Yellow Blue Blue Blue Black Black Black\nOrange Orange Black Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Black Black Black\nBlack Black Black Red Black Black Brown Brown Black Black Black Black\nBlack Black Black Pink Pink Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Yellow Black\nBrown Brown Black Black\nBrown Brown Black Black\nBrown Brown Yellow Black\nBlack Black Red Black\nBlack Red Red Red\nBlack Black Red Black\nBlack Black Black Black\nRed Black Black Black\nPink Pink Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Red Black\nBlack Green Green Green Black Black Green Black Black Black Gray Black Red Black\nBlack Black Green Black Black Black Green Green Black Gray Gray Red Red Black\nBlack Black Black Black Black Black Black Black Gray Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Red\nGreen Black Black Black Gray Black Red\nGreen Green Black Gray Gray Red Red\nBlack Black Gray Red Black Black Black\nBlack Black Black Black Black Black Black\nGreen Green Green Black Black Black Black\nBlack Green Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Black Black\nBlack Black Black Black Blue Black Black Blue Brown Brown Black Black\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Purple Purple Yellow Black\nBlack Black Black Black Black Yellow Gray Yellow Black Purple Yellow Black\nBlack Black Black Black Black Yellow Black Yellow Purple Purple Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Purple Purple\nBlue Black Black Blue Brown Brown\nBlue Blue Blue Blue Purple Purple\nBlue Blue Blue Blue Black Black\nBlack Black Black Black Black Black\nYellow Yellow Yellow Purple Purple Yellow\nYellow Gray Yellow Black Purple Yellow\nYellow Black Yellow Purple Purple 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 Purple Purple Black\nBlack Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 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 Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray 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 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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Black Black 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 Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple 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 Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple Purple Purple Purple 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 Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Black Black Black 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 Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Orange Orange Black Black Black Black Black Black\nBlack Yellow Black Black Orange Orange Orange Black Black Black Black Black\nBlack Yellow Black Black Orange Black Orange Black Black Black Black Black\nBlack Yellow Black Black Orange Orange Orange Black Black Black Black Black\nBlack Yellow Black Black Orange Orange Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Gray Black Black Black Black Black Black\nBlack Black Orange Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Orange Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink 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```\nGray Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Pink Black Black Black Black Black Black\nGray Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Purple Gray Gray Orange Purple Pink Yellow Red Yellow Pink Green Brown Yellow Orange Orange Orange Purple Orange Orange Red Orange Orange Brown Green Purple\nPurple Blue Blue Orange Gray Orange Orange Orange Green Brown Purple Purple Orange Red Gray Orange Gray Orange Orange Yellow Brown Orange Gray Red Orange Purple\nOrange Orange Brown Orange Orange Red Orange Pink Red Orange Yellow Blue Orange Orange Pink Orange Orange Gray Yellow Yellow Orange Orange Red Orange Purple Orange\nOrange Gray Orange Gray Red Purple Orange Purple Orange Orange Green Orange Pink Orange Gray Orange Orange Orange Orange Orange Orange Yellow Orange Yellow Blue Purple\nOrange Orange Gray Brown Orange Blue Orange Orange Orange Orange Red Gray Purple Yellow Pink Green Orange Gray Orange Brown Gray Orange Pink Green Orange Pink\nPurple Green Yellow Orange Yellow Orange Pink Brown Pink Red Orange Blue Gray Red Red Pink Yellow Yellow Orange Orange Orange Purple Yellow Brown Orange Gray\nPurple Orange Green Red Pink Orange Blue Green Orange Orange Purple Orange Orange Blue Orange Orange Orange Orange Blue Orange Blue Orange Orange Red Gray Blue\nBlue Orange Brown Yellow Orange Pink Red Orange Gray Brown Brown Purple Blue Orange Red Orange Gray Pink Orange Blue Orange Blue Red Orange Orange Brown\nOrange Yellow Orange Yellow Pink Orange Orange Gray Pink Orange Gray Orange Orange Yellow Gray Orange Purple Yellow Pink Orange Gray Orange Orange Orange Orange Green\nOrange Red Red Orange Orange Brown Orange Orange Red Orange Green Orange Gray Yellow Orange Gray Orange Yellow Yellow Gray Orange Orange Blue Green Orange Pink\nPink Orange Orange Purple Green Orange Green Orange Yellow Orange Yellow Orange Orange Purple Purple Orange Orange Pink Orange Orange Pink Orange Red Red Red Red\nOrange Red Orange Pink Gray Orange Orange Pink Orange Gray Orange Pink Orange Purple Green Orange Pink Orange Orange Blue Orange Orange Purple Gray Yellow Orange\nOrange Pink Orange Orange Orange Orange Gray Brown Orange Gray Pink Orange Orange Orange Pink Yellow Brown Red Orange Red Orange Brown Orange Orange Orange Brown\nPurple Brown Purple Orange Orange Green Yellow Orange Orange Orange Blue Orange Pink Orange Red Purple Orange Green Blue Green Green Orange Orange Gray Purple Blue\nGreen Orange Brown Gray Red Purple Orange Purple Brown Red Green Yellow Orange Orange Yellow Orange Orange Pink Pink Green Gray Brown Green Orange Yellow Gray\nBrown Orange Red Purple Gray Yellow Gray Orange Orange Orange Purple Gray Red Purple Gray Yellow Orange Orange Orange Orange Red Purple Pink Gray Yellow Red\nOrange Blue Orange Orange Gray Pink Orange Blue Gray Yellow Purple Blue Red Orange Purple Pink Purple Purple Orange Red Gray Gray Orange Orange Orange Orange\nRed Orange Red Blue Brown Orange Orange Orange Yellow Orange Purple Orange Red Yellow Brown Purple Red Blue Green Orange Pink Orange Orange Orange Purple Orange\nPink Blue Purple Orange Orange Brown Blue Green Orange Green Gray Brown Pink Purple Pink Brown Orange Yellow Orange Orange Brown Orange Gray Yellow Pink Orange\nOrange Brown Pink Orange Orange Orange Green Blue Blue Orange Yellow Orange Purple Orange Orange Orange Orange Orange Orange Orange Green Orange Orange Orange Orange Orange\nOrange Orange Red Blue Orange Purple Brown Blue Red Purple Purple Purple Orange Red Orange Orange Green Green Orange Yellow Brown Orange Orange Blue Green Gray\nBrown Purple Green Brown Orange Orange Pink Orange Orange Pink Orange Orange Green Orange Blue Orange Orange Purple Gray Green Blue Brown Purple Orange Pink Orange\n\nOutput:\nPurple Purple Orange Purple Pink Gray Blue Brown Green Pink Red Orange Brown Blue Gray Red Orange Orange Orange Orange Gray Orange\nGreen Orange Purple Blue Orange Orange Gray Orange Orange Orange Red Yellow Orange Purple Yellow Yellow Orange Purple Pink Orange Green Pink\nBrown Red Orange Yellow Green Brown Red Orange Orange Green Red Gray Orange Gray Orange Gray Orange Orange Yellow Orange Blue Orange\nOrange Gray Red Orange Pink Yellow Orange Red Orange Blue Red Purple Orange Orange Green Pink Orange Orange Gray Orange Orange Purple\nOrange Orange Orange Yellow Orange Purple Orange Blue Orange Orange Orange Orange Brown Orange Brown Purple Gray Orange Orange Orange Orange Brown\nRed Brown Orange Orange Gray Orange Blue Orange Gray Orange Pink Orange Orange Green Gray Red Gray Pink Brown Green Brown Blue\nOrange Yellow Yellow Orange Brown Orange Orange Blue Orange Gray Orange Blue Red Green Green Orange Red Orange Orange Orange Yellow Green\nOrange Orange Yellow Orange Orange Orange Blue Orange Pink Yellow Orange Orange Orange Blue Pink Orange Orange Green Orange Orange Orange Gray\nPurple Orange Gray Orange Gray Yellow Orange Pink Yellow Yellow Pink Orange Red Green Pink Orange Purple Blue Yellow Orange Green Purple\nOrange Gray Orange Orange Orange Yellow Orange Gray Purple Orange Orange Pink Brown Orange Orange Orange Purple Red Orange Orange Green Orange\nOrange Orange Orange Orange Green Pink Orange Orange Orange Gray Orange Orange Yellow Purple Orange Yellow Pink Purple Brown Orange Orange Orange\nOrange Gray Pink Gray Pink Red Orange Red Gray Orange Purple Green Pink Red Yellow Gray Purple Brown Pink Orange Orange Blue\nYellow Red Orange Orange Yellow Red Blue Orange Yellow Yellow Purple Purple Orange Orange Orange Purple Orange Yellow Purple Orange Red Orange\nBrown Orange Orange Pink Purple Gray Orange Blue Orange Gray Orange Orange Orange Pink Orange Red Red Red Pink Purple Orange Green\nGreen Purple Blue Orange Gray Blue Orange Purple Orange Orange Orange Pink Orange Orange Yellow Gray Blue Orange Brown Orange Purple Orange\nPink Purple Yellow Green Red Orange Purple Brown Gray Green Yellow Orange Pink Blue Green Purple Purple Purple Gray Yellow Purple Orange\nYellow Brown Orange Orange Orange Red Orange Brown Orange Orange Orange Gray Gray Orange Red Orange Yellow Orange Green Orange Purple Pink\nRed Green Red Orange Orange Pink Orange Gray Pink Red Yellow Orange Orange Orange Brown Orange Gray Yellow Orange Blue Red Orange\nYellow Orange Pink Purple Orange Brown Green Orange Gray Orange Orange Pink Brown Orange Purple Orange Blue Orange Green Blue Blue Orange\nPink Orange Orange Orange Orange Pink Blue Red Orange Orange Green Orange Gray Yellow Orange Gray Orange Orange Blue Green Brown Pink\nPurple Orange Red Purple Blue Orange Orange Pink Orange Brown Orange Orange Orange Green Purple Yellow Pink Orange Brown Orange Purple Orange\nOrange Gray Orange Red Orange Yellow Pink Orange Pink Orange Green Gray Orange Orange Red Gray Gray Brown Orange Orange Orange Orange\nGray Orange Orange Gray Brown Orange Red Yellow Yellow Orange Purple Pink Orange Orange Gray Purple Orange Blue Orange Orange Blue Brown\nGray Blue Brown Orange Gray Yellow Green Brown Orange Red Orange Orange Orange Purple Brown Red Orange Red Purple Pink Red Green\nPurple Blue Orange Gray Orange Green Orange Orange Yellow Red Orange Red Pink Brown Orange Orange Blue Orange Blue Brown Orange Purple\nOrange Purple Orange Orange Orange Purple Purple Blue Orange Orange Pink Orange Orange Purple Green Brown Orange Red Pink Orange Orange Brown\n\n\nExample 2\nInput:\nOrange Red Yellow Orange Brown Orange Orange Pink Orange Gray Yellow Orange Red Orange Orange Orange Orange Red Yellow Red Green Blue Orange Red\nOrange Orange Orange Orange Orange Orange Orange Yellow Orange Green Green Orange Orange Blue Pink Orange Purple Orange Pink Purple Green Pink Orange Orange\nOrange Yellow Orange Pink Orange Orange Blue Red Orange Orange Orange Orange Orange Orange Brown Orange Pink Brown Orange Purple Orange Green Orange Brown\nPink Orange Gray Orange Orange Orange Blue Orange Gray Blue Orange Purple Orange Orange Gray Orange Blue Orange Red Brown Red Blue Orange Orange\nPurple Orange Orange Orange Orange Orange Brown Orange Orange Brown Orange Orange Orange Orange Orange Purple Yellow Orange Orange Orange Orange Orange Yellow Green\n\nOutput:\nRed Orange Brown Orange Green\nOrange Orange Orange Orange Yellow\nBlue Pink Green Blue Orange\nGreen Green Orange Red Orange\nRed Purple Purple Brown Orange\nYellow Pink Orange Red Orange\nRed Orange Brown Orange Orange\nOrange Purple Pink Blue Yellow\nOrange Orange Orange Orange Purple\nOrange Pink Brown Gray Orange\nOrange Blue Orange Orange Orange\nRed Orange Orange Orange Orange\nOrange Orange Orange Purple Orange\nYellow Green Orange Orange Orange\nGray Green Orange Blue Brown\nOrange Orange Orange Gray Orange\nPink Yellow Red Orange Orange\nOrange Orange Blue Blue Brown\nOrange Orange Orange Orange Orange\nBrown Orange Orange Orange Orange\nOrange Orange Pink Orange Orange\nYellow Orange Orange Gray Orange\nRed Orange Yellow Orange Orange\nOrange Orange Orange Pink Purple\n\n\nExample 3\nInput:\nBrown Gray Green Brown Gray Orange Gray Yellow Gray\nGray Gray Purple Orange Pink Blue Brown Blue Gray\nGreen Gray Gray Pink Brown Red Gray Gray Gray\nYellow Pink Green Red Pink Brown Gray Orange Pink\nOrange Gray Yellow Orange Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Pink Gray\nYellow Blue Gray Orange Gray\nGray Brown Gray Gray Gray\nOrange Blue Red Brown Gray\nGray Pink Brown Pink Gray\nBrown Orange Pink Red Orange\nGreen Purple Gray Green Yellow\nGray Gray Gray Pink Gray\nBrown Gray Green Yellow Orange\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Orange\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nBrown Pink Purple Pink Pink Pink Pink\nPink Pink Pink Green Pink Pink Pink\nPink Red Pink Pink Pink Pink Pink\nPink Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nBrown Gray Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Green Pink\nPink Pink Pink Pink Pink Yellow Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Green Pink Pink Pink\nYellow Pink Pink Pink Purple Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nBlue Pink Pink Pink Gray Pink Pink\nBrown Pink Pink Pink Pink Pink Pink\nBlue Pink Pink Pink Pink Purple Pink\nPink Pink Pink Pink Red Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange 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 Green Yellow Pink Pink Pink Pink Pink Pink Pink Purple Pink\nPink Pink Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Gray Pink Pink Red\nPink Pink Pink Pink Pink Pink Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Green Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Red Red Pink Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Yellow Pink Blue Brown Blue Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Pink Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Pink Black Black Black Black Black Black\nOrange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBrown Brown Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Orange Brown Brown\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Green Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Green\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Red Black Orange\nBlack Black Black Black Black\nOrange Black Yellow Black Yellow\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nOrange Black Red Black Orange\nBlack Black Black Black Black\nOrange Black Yellow Black Yellow\nOrange Black Yellow Black Yellow\nBlack Black Black Black Black\nOrange Black Red Black Orange\n\n\nExample 2\nInput:\nGray Black Red Green Purple Black\nBlack Black Black Purple Black Gray\nBlack Black Gray Black Black Brown\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nGray Black Red Green Purple Black\nBlack Black Black Purple Black Gray\nBlack Black Gray Black Black Brown\nBlack Black Gray Black Black Brown\nBlack Black Black Purple Black Gray\nGray Black Red Green Purple Black\n\n\nExample 3\nInput:\nBlack Gray Brown Black\nBlack Gray Black Orange\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBlack Gray Brown Black\nBlack Gray Black Orange\nBlack Gray Black Orange\nBlack Gray Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Pink Pink Brown\nBlack Green Green Blue\nBlack Black Black Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Pink Pink Brown\nBlack Green Green Blue\nBlack Green Green Blue\nPurple Pink Pink 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Red Red Yellow\nBlack Black Black Black Black Red Red Red Red Yellow Blue Blue Yellow\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Yellow Red Black Black Black Black Blue Blue Blue\nBlack Black Black Red Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Green Blue Green Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Red Red Red Black\nBlack Black Black Black Yellow Yellow Black Black Green Red Green Black\nBlack Black Black Black Red Red Black Black Green Black Green Black\nBlack Black Black Black Red Red Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Red Black\nBlack Black Black Black Red Red Black Black Red Red Red Black\nBlack Black Black Black Red Red Black Black Red Black Red Black\nBlack Black Black Black Red Red 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 Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Yellow Blue\nBlack Black Black Black Black Black Black Black Red Red Yellow Blue\n\nOutput:\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black 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\nBlack Black Black Black Black Black Red 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Black Blue Blue Green Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Green Green Green\nBlack Black Black Black Black Red Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Blue Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Green Green Green\nBlack Black Black Black Black Blue 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Red Black Black Black Pink Black Black Blue Black\nPurple Black Black Blue Black Black Pink Black Yellow Black Black Orange Black Yellow Black\nBlack Black Black Black Black Yellow Black Pink Black Red Black Black Yellow Yellow Yellow\nRed Black Black Black Black Black Pink Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Blue Black Brown Black Black Red Black Gray Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Orange Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Black Black Black Black Orange Blue Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Purple Yellow Black Black Black Black Black Black Black Orange Orange Orange Gray\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black Purple Black Black Black Black\nOrange Purple Black Black Black Black Brown Purple Orange Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Yellow Black Black\nBlack Black Black Purple Orange Black Orange Black Black Black Pink Purple Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nGreen Black Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Blue Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Orange Black Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Gray Black Orange Black Black Black Yellow Yellow Yellow Yellow Brown\nYellow Black Black Pink Black Black Blue Black Black Black Black Brown\nYellow Black Black Blue Purple Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Yellow Black\nGreen Gray Red Black Black Black Black Purple Black Black Black Black\nBlack Black Black Yellow Purple Green Pink Black Black Black Pink Black\nBlack Green Black Green Black Pink Green Black Black Purple Black Red\nBlack Pink Yellow Blue Black Green Black Brown Pink Black Black Black\nBlack Green Blue Black Black Black Red Black Gray Black Purple Red\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Gray Green Black Black Black Brown\nBlack Black Pink Black Black Pink Yellow Yellow Black Black Black Black\nRed Black Black Black Black Black Brown Brown Black Yellow Black Black\nBlack Black Gray Orange Black Black Black Black Gray Black Brown Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Yellow\nGray Black Black Yellow Yellow Yellow Yellow Black Gray Black Black Black\nBlack Purple Black Yellow Yellow Yellow Yellow Black Black Orange Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Gray\nBlack Black Black Yellow Yellow Yellow Yellow Green Purple Black Black Pink\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Blue\nPink Pink Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nPink Yellow Black Black Pink Black Yellow Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Pink Black Black Black Black Orange Black Yellow Black Black\nBlack Black Black Red Orange Black Black Black Black Black Black Black Green Black\nBlack Black Black Blue Yellow Purple Black Gray Black Brown Orange Blue Black Black\nBlack Black Black Black Black Black Pink Blue Black Black Black Black Green Purple\nBlack Black Black Black Black Yellow Black Purple Black Yellow Black Black Black Black\nBlack Black Black Red Black Black Gray Pink Yellow Yellow Yellow Brown Black Orange\nBlack Pink Black Black Black Black Green Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Red Gray Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Gray\nBlue Orange Black Black Black Black Red Black Black Black Black Black Black Gray\nBlack Black Green Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Gray Red Blue Black Blue Black\nBlack Black Black Black Purple Black Black Red Yellow Black Black Purple Black Black\nGray Black Black Black Black Green Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Black Purple Gray Black Purple Gray Green Orange\nOrange Red Black Black Green Black Black Pink Black Black\nPink Pink Green Pink Black Black Black Black Orange Red\nBlack Pink Pink Pink Pink Orange Black Black Gray Black\nBlack Blue Black Black Pink Pink Black Black Black Gray\nBlack Yellow Black Black Pink Pink Pink Orange Black Black\nBlack Black Black Black Orange Black Black Black Green Black\nOrange Black Black Gray Black Green Brown Purple Black Black\nBlack Black Blue Black Green Gray Blue Green Pink Black\nBlack Brown Blue Black Pink Blue Blue Black Black Black\n\nOutput:\nPink Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nPurple Purple Black Black Brown Blue Black Blue Black Pink\nBlack Pink Black Green Black Black Pink Black Orange Black\nBlack Brown Black Orange Black Black Black Black Orange Black\nPurple Black Black Black Black Green Black Black Black Gray\nBlack Purple Blue Black Black Black Green Orange Black Black\nGray Red Black Black Black Black Orange Black Gray Gray\nBlack Black Pink Pink Pink Pink Black Black Black Red\nOrange Black Pink Pink Black Purple Black Black Black Black\nRed Brown Pink Pink Pink Pink Black Black Black Purple\nBlack Pink Black Pink Gray Black Black Black Black Green\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Yellow Black Black Black Black Gray Brown Black\nBlack Black Black Brown Black Black Black Orange Black Pink\nBlack Red Blue Black Orange Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Orange Black\nBlack Pink Black Black Pink Blue Brown Black Green Black\nPink Black Purple Pink Black Black Blue Black Black Black\nBlack Gray Black Purple Black Black Yellow Black Brown Black\nYellow Black Black Black Brown Black Black Black Gray Black\nBlack Red Black Blue Pink Pink Pink Pink Black Black\nPink Black Black Pink Pink Black Orange Gray Black Yellow\n\nOutput:\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Yellow Black Black Black Brown Black Black Brown\nBlack Black Pink Pink Red Black Black Black Blue Black\nBlack Black Pink Pink Black Gray Black Yellow Black Black\nBlack Brown Black Brown Yellow Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Orange Black Black Blue Black Black Black Brown Gray\nGreen Black Red Black Black Black Black Black Black Black\nBlack Red Black Orange Black Green Orange Black Gray Black\nBlack Gray Pink Blue Black Black Black Red Black Black\nBlack Black Purple Black Black Black Yellow 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```\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Purple Black Green Black Black Black\nBlack Black Black Black Black Brown Black Black Red Black Black Black\nBlack Black Black Black Black Black Brown Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Black Purple Blue Brown Black\nBlack Black Black Black Black Black Blue Orange Red Orange Black Brown\nBlack Black Black Black Black Black Purple Red Green Red Purple Black\nBlack Black Black Black Black Brown Black Orange Red Orange Blue Black\nBlack Black Black Black Black Black Brown Blue Purple Black Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Blue Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Brown Black Pink Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Blue Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Brown Gray Pink Gray Black Black Black Black Black Black Black Black\nPink Gray Gray Gray Brown Blue Black Black Black Black Black Black Black Black\nBlue Brown Gray Gray Gray Pink Black Black Black Black Black Black Black Black\nGray Pink Gray Brown Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Blue Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Black Black Black Black Black\nBlack Black Black Black Black Black Brown Yellow Purple Black Black Black Black\nBlack Black Black Black Black Brown Red Purple Pink Pink Black Black Black\nBlack Black Black Black Black Black Yellow Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Brown Yellow Purple Black Black Black Black\nBlack Black Black Purple Pink Brown Red Purple Pink Pink Black Black Black\nBlack Black Pink Yellow Purple Black Yellow Black Brown Black Black Black Black\nBlack Black Black Brown Red Yellow Black Yellow Red Brown Black Black Black\nBlack Black Black Black Brown Black Yellow Black Purple Yellow Pink Black Black\nBlack Black Black Pink Pink Purple Red Brown Pink Purple Black Black Black\nBlack Black Black Black Purple Yellow Brown Black Pink Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Pink Black Black\nBlack Black Black Black Black Black Pink Black Pink Orange Black Black\nBlack Black Black Black Black Black Black Gray Brown Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Pink Black Black\nBlack Black Black Black Black Black Pink Black Pink Orange Pink Black\nBlack Black Black Black Black Pink Orange Gray Brown Gray Black Brown\nBlack Black Black Black Black Brown Pink Brown Black Brown Pink Brown\nBlack Black Black Black Black Brown Black Gray Brown Gray Orange Pink\nBlack Black Black Black Black Black Pink Orange Pink Black Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Blue Gray Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Purple Blue Blue Purple Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Pink Blue Pink Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Pink Purple Brown Pink Purple Brown Pink\nPink Gray Orange Pink Gray Orange Pink Gray\nGreen Brown Green Green Brown Green Green Brown\nBrown Pink Purple Brown Pink Purple Brown Pink\nPink Gray Orange Pink Gray Orange Pink Gray\nGreen Brown Green Green Brown Green Green Brown\nBrown Pink Purple Brown Pink Purple Brown Pink\nPink Gray Orange Pink Gray Orange Pink Gray\n\nOutput:\nPurple Brown Pink Purple Brown Pink Pink Pink\nOrange Pink Gray Orange Pink Gray Pink Pink\nGreen Green Brown Green Green Brown Pink Pink\nPurple Brown Pink Purple Brown Pink Pink Pink\nOrange Pink Gray Orange Pink Gray Pink Pink\nGreen Green Brown Green Green Brown Pink Pink\nPurple Brown Pink Purple Brown Pink Pink Pink\nOrange Pink Gray Orange Pink Gray Pink Pink\n\n\nExample 2\nInput:\nBlue Green Red Blue Green Red Blue\nPink Gray Blue Pink Gray Blue Pink\nRed Brown Orange Red Brown Orange Red\nBlue Green Red Blue Green Red Blue\nPink Gray Blue Pink Gray Blue Pink\nRed Brown Orange Red Brown Orange Red\nBlue Green Red Blue Green Red Blue\n\nOutput:\nRed Blue Green Red Blue Blue Blue\nBlue Pink Gray Blue Pink Blue Blue\nOrange Red Brown Orange Red Blue Blue\nRed Blue Green Red Blue Blue Blue\nBlue Pink Gray Blue Pink Blue Blue\nOrange Red Brown Orange Red Blue Blue\nRed Blue Green Red Blue Blue Blue\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Green Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Green Red Green Red Green Red Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGreen Gray Pink Green Gray Pink Green Gray Pink\nGray Brown Pink Gray Brown Pink Gray Brown Pink\nPink Blue Brown Pink Blue Brown Pink Blue Brown\nGreen Gray Pink Green Gray Pink Green Gray Pink\nGray Brown Pink Gray Brown Pink Gray Brown Pink\nPink Blue Brown Pink Blue Brown Pink Blue Brown\nGreen Gray Pink Green Gray Pink Green Gray Pink\nGray Brown Pink Gray Brown Pink Gray Brown Pink\nPink Blue Brown Pink Blue Brown Pink Blue Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Green Gray Pink Green Gray Pink Pink Pink\nPink Gray Brown Pink Gray Brown Pink Pink Pink\nBrown Pink Blue Brown Pink Blue Brown Pink Pink\nPink Green Gray Pink Green Gray Pink Pink Pink\nPink Gray Brown Pink Gray Brown Pink Pink Pink\nBrown Pink Blue Brown Pink Blue Brown Pink Pink\nPink Green Gray Pink Green Gray Pink Pink Pink\nPink Gray Brown Pink Gray Brown Pink Pink Pink\nBrown Pink Blue Brown Pink Blue Brown Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Blue Green Black Black Black Black Black Black Black Purple Brown Pink Pink\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Pink Gray Black Black Black Black Purple\nBlack Black Black Black Black Black Black Pink Black Black Black Orange Orange Purple\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 Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Blue Green Black Black Black Black Black Black Black Purple Black Pink Pink\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Green 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\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Pink Black Black Black Orange Orange Purple\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\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Blue Red Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Blue Black Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Brown Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue 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\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Blue Red Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Blue Black Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Brown Blue Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Blue Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue 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 Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Brown Blue Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Blue Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue 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 Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Brown Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Pink Pink Green Black Black Black Blue Yellow Green Black Black Black\nBlack Black Black Black Black Orange Red Orange Pink Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Red Pink Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Orange Green Black Black Black Blue Yellow Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Gray 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Brown Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Pink Pink Green Black Black Black Blue Yellow Green Black Black Black\nBlack Black Black Black Black Orange Red Orange Pink Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Red Pink Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Orange Green Black Black Black Blue Yellow Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Gray 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Black Orange Orange Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Orange Orange Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Orange Orange Black Black Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Orange Orange Black Black Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Orange Orange Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Orange Orange Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Orange Orange Black Black Black Black Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Orange Orange Black Black Black Black Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Orange Orange Black Black Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Orange Orange Black Black Orange Orange Orange Orange\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nOrange Orange Orange Orange Orange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Black Black Black Black Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Black Black Black Black Yellow Yellow\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Brown Brown Brown Brown Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Black Black Black Black Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Black Black Black Black Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\n\nOutput:\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Gray Gray Black Black Gray Gray\nPink Pink Pink Pink Pink Pink Gray Gray Black Black Gray Gray\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nPurple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Purple Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple 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\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Black Purple Purple Black Black Black Black Black\nBlack Black Black Purple Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange 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 Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Orange\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack 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 Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange 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 Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Black Black Black Black Black Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack 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\n\nOutput:\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Black Black Black Black Black Gray Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink 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 Pink Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Black Pink Pink Black Black\nBlack Black Black Black 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 Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Pink\nBlack Black Black Black Black Pink Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Pink Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Black Pink Pink 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 Gray Black Black Black Black Green Gray Brown Black Black Black Black Black Black Black Black\nBrown Black Gray Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Pink Blue Brown Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBrown Brown Orange Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Red Pink Brown Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Red Black Black Brown Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Orange Brown Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Purple Green Blue Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nOrange Brown Black Purple Black Red Brown Purple Brown Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Gray Black Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Gray Black Black Black Black Green Gray Brown Gray Green Black Black Black Black Gray Black\nBrown Black Gray Black Black Black Black Black Brown Black Black Black Black Black Gray Black Brown\nBlack Black Pink Blue Brown Black Black Black Brown Black Black Black Brown Blue Pink Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBrown Brown Orange Black Black Black Black Black Brown Black Black Black Black Black Orange Brown Brown\nBlack Black Green Black Black Black Red Pink Brown Pink Red Black Black Black Green Black Black\nBlack Black Yellow Black Black Red Black Black Brown Black Black Red Black Black Yellow Black Black\nPurple Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Purple\nBlack Black Gray Black Black Black Black Orange Brown Orange Black Black Black Black Gray Black Black\nBlack Black Green Black Black Purple Green Blue Brown Blue Green Purple Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nOrange Brown Black Purple Black Red Brown Purple Brown Purple Brown Red Black Purple Black Brown Orange\nBlack Purple Black Black Black Black Gray Black Brown Black Gray Black Black Black Black Purple Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Black Black Black Green Black Black Black Black Black Black Black\nBrown Blue Black Green Black Orange Black Green Black Black Black Black Black Black Black\nBlack Black Purple Black Pink Black Black Green Black Black Black Black Black Black Black\nBlack Orange Black Black Black Brown Gray Green Black Black Black Black Black Black Black\nBlack Black Black Brown Red Black Green Green Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Gray Black Red Black Black Gray Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Brown Black Orange Black Purple Black Green Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Yellow Pink Black Pink Black Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Black Black Black Green Black Black Black Orange Black Black Black\nBrown Blue Black Green Black Orange Black Green Black Orange Black Green Black Blue Brown\nBlack Black Purple Black Pink Black Black Green Black Black Pink Black Purple Black Black\nBlack Orange Black Black Black Brown Gray Green Gray Brown Black Black Black Orange Black\nBlack Black Black Brown Red Black Green Green Green Black Red Brown Black Black Black\nBlack Black Gray Black Black Black Green Green Green Black Black Black Gray Black Black\nBlack Gray Black Red Black Black Gray Green Gray Black Black Red Black Gray Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Brown Black Orange Black Purple Black Green Black Purple Black Orange Black Brown Black\nBlack Red Black Black Black Black Red Green Red Black Black Black Black Red Black\nBlack Black Yellow Pink Black Pink Black Green Black Pink Black Pink Yellow Black Black\n\n\nExample 3\nInput:\nRed Black Black Black Black Green Black Black Gray Black Black Black Black Black Black Black\nGray Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black\nBlue Black Black Blue Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Purple Black Black Black Red Black Black Gray Black Black Black Black Black Black Black\nBlue Gray Black Black Black Black Purple Brown Gray Black Black Black Black Black Black Black\nYellow Black Black Black Orange Blue Purple Black Gray Black Black Black Black Black Black Black\nBrown Purple Pink Black Black Red Black Black Gray Black Black Black Black Black Black Black\nPink Red Black Black Purple Black Black Black Gray Black Black Black Black Black Black Black\nBlack Blue Yellow Blue Pink Black Black Black Gray Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Purple Gray Black Black Black Black Black Black Black\nBlack Black Black Pink Black Yellow Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Green Yellow Red Gray Black Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Green Black Black Gray Black Green Black Black Black Black Red\nGray Black Black Gray Black Black Black Black Gray Black Black Black Gray Black Black Gray\nBlue Black Black Blue Black Black Black Black Gray Black Black Black Blue Black Black Blue\nBlack Purple Black Black Black Red Black Black Gray Black Red Black Black Black Purple Black\nBlue Gray Black Black Black Black Purple Brown Brown Purple Black Black Black Black Gray Blue\nYellow Black Black Black Orange Blue Purple Black Gray Purple Blue Orange Black Black Black Yellow\nBrown Purple Pink Black Black Red Black Black Gray Black Red Black Black Pink Purple Brown\nPink Red Black Black Purple Black Black Black Gray Black Black Purple Black Black Red Pink\nBlack Blue Yellow Blue Pink Black Black Black Gray Black Black Pink Blue Yellow Blue Black\nPink Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Pink\nBlack Black Black Pink Black Yellow Black Black Gray Black Yellow Black Pink Black Black Black\nBlack Black Black Pink Pink Green Yellow Red Red Yellow Green Pink Pink Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Orange Purple Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Yellow Red Black Black Black Black Black Black\nBlack Green Black Black Purple Black Black Red Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Purple Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Yellow Red Black Black Black Black Black Black\nGreen Black Black Yellow Black Black Black Red Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Pink Purple Black Black Black Orange Red Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Red Black Black Black Black Black Black\nBlack Black Purple Brown Blue Orange Purple Red Black Black Black Black Black Black\nBrown Black Red Black Black Brown Red Red Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Gray Orange Purple Black Black Red Black Purple Orange Gray Black Black\nBlack Black Black Red Black Black Yellow Yellow Black Black Red Black Black Black\nBlack Green Black Black Purple Black Black Red Black Purple Black Black Green Black\nBlack Brown Black Black Black Black Black Red Black Black Black Black Brown Black\nBlack Black Black Black Black Yellow Purple Purple Yellow Black Black Black Black Black\nBlack Black Black Black Red Black Yellow Yellow Black Red Black Black Black Black\nGreen Black Black Yellow Black Black Black Red Black Black Yellow Black Black Green\nBlack Purple Black Black Black Black Black Red Black Black Black Black Purple Black\nBlack Pink Purple Black Black Black Orange Orange Black Black Black Purple Pink Black\nBlack Black Orange Black Black Black Black Red Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Red Black Blue Black Black Black Black\nBlack Black Purple Brown Blue Orange Purple Purple Orange Blue Brown Purple Black Black\nBrown Black Red Black Black Brown Red Red Brown Black Black Red Black 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 Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Green Green Green Black Black Black Black\nBlack Black Green Green Black Green Green Green Black Black Green Black Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Black Black Black Black\nBlack Black Red Red Black Red Red Red Black Black Red Black Red Black Black Black Black\nBlack Black Black Red Red Red 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nOrange Orange Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Red Red Black Black 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 Red Red Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nGreen Green Green Green Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nRed Red Red Red Black 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 Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red 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\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Green Green Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Green Green Green Green 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 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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Green Green Green Green Green Green Green Purple Purple 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 Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Green Green Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Green Green Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Green Green Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Green Green Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black\nBlack Black Blue Blue Black Black\nBlack Black Blue Blue Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nBlue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Blue Black Black\nBlue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue\nBlue Black Black Blue Black Black\nBlue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Pink Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nPink Black Pink Black\nPink Pink Pink Pink\nPink Black Pink Black\nPink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue 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```\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlack Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlack Blue Blue Black 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:\nOrange Orange Orange Orange Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nGray Gray Gray Gray Purple Purple Purple Purple Brown Brown Brown Brown\nGray Gray Gray Gray Purple Purple Purple Purple Brown Brown Brown Brown\nGray Gray Gray Gray Purple Purple Purple Purple Brown Brown Brown Brown\nGray Gray Gray Gray Purple Purple Purple Purple Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nOrange Orange Orange Orange Pink Pink Pink Pink Green Green Green Green\nOrange Orange Orange Orange Pink Pink Pink Pink Green Green Green Green\nOrange Orange Orange Orange Pink Pink Pink Pink Green Green Green Green\nOrange Orange Orange Orange Pink Pink Pink Pink Green Green Green Green\nRed Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nRed Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nRed Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nRed Red Red Red Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green\nBlue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green\nBlue Blue Blue Blue Pink Pink Pink Pink Green Green Green Green\nBlue Blue Blue Blue Pink Pink Pink Pink 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 Green Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBlue Blue Blue Blue Green Green Green Green Red Red Red Red\nBlue Blue Blue Blue Green Green Green Green Red Red Red Red\nBlue Blue Blue Blue Green Green Green Green Red Red Red Red\nBlue Blue Blue Blue Green Green Green Green Red Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Brown Brown Brown Brown Red Red Red Red Black Black Black Black\nBlack Black Black Black Green Green Green Green Brown Brown Brown Brown Red Red Red Red Black Black Black Black\nBlack Black Black Black Green Green Green Green Brown Brown Brown Brown Red Red Red Red Black Black Black Black\nBlack Black Black Black Green Green Green Green Brown Brown Brown Brown Red Red Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\nBrown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Green Green Green Green Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Green Green Green Green Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Green Green Green Green Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Green Green Green Green Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Red 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 Blue Blue Blue Black\nBlack Black Black Black Black Blue Red Red Blue Blue\nBlack Black Black Black Black Red Blue Blue Blue Black\nBlack Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Red Black Red Black Black\nBlack Black Black Black 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\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 Blue Blue Blue Black\nBlack Black Black Black Black Blue Red Red Blue Blue\nBlack Black Black Black Black Red Blue Blue Blue Black\nBlack Black Black Black Black Red Black Red Black Black\nBlack Black Black Black 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\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 Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Blue Blue Blue Black Black Black Black Black\nBlack Blue Red Red Blue Blue Black Black Black Black\nBlack Red Blue Blue Blue Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black\nBlack Black Red Black Red 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\nBlack Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black\nBlack Black Blue Red Red Blue Blue Black Black Black\nBlack Black Red Blue Blue Blue Black Black Black Black\nBlack Black Red Black Red 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Blue Blue Purple Green Green Green\nPurple Purple Pink Pink Pink Pink Purple Blue Blue Purple Green Green Green\nPurple Purple Pink Pink Pink Pink Purple Blue Blue Purple Purple Purple Purple\nPurple Purple Pink Pink Pink Pink Purple Blue Blue Purple Purple Purple Purple\nPurple Purple Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Green Green Green Green Green Purple Purple Purple Purple Purple\nPurple Purple Purple Green Green Green Green Green Purple Purple Purple Purple Purple\nPurple Purple Purple Green Green Green Green Green Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Blue Blue Purple Blue Blue Blue\nPurple Purple Blue Blue Blue Blue Purple Blue Blue Purple Blue Blue Blue\nPurple Purple Blue Blue Blue Blue Purple Blue Blue Purple Purple Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Blue Blue Purple Purple Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Purple Purple Purple Red Red Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Red Red Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Red Red Red Purple Purple\nPurple Red Red Red Red Red Purple Red Red Red Purple Purple\nPurple Red Red Red Red Red Purple Purple Purple Purple Purple Purple\nPurple Red Red Red Red Red Purple Green Green Green Green Purple\nPurple Red Red Red Red Red Purple Green Green Green Green Purple\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Purple\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Purple\nRed Red Red Purple Purple Purple Purple Green Green Green Green Purple\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Purple Purple Orange Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple\nPurple Blue Blue Blue Blue Blue Purple Blue Blue Blue Purple Purple\nPurple Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPurple Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Purple\nPurple Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Purple\nPurple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple\nPurple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple\nBlue Blue Blue Purple Purple Purple Purple Blue Blue Blue Blue Purple\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Purple Purple Blue Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nPurple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple\nPurple Purple Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Pink Pink Pink Pink Purple Purple Purple Purple Purple Orange Orange Purple Purple\nPurple Pink Pink Pink Pink Purple Purple Purple Purple Purple Orange Orange Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple\nPurple Purple Green Green Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple\nPurple Purple Green Green Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple\nPurple Purple Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Blue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Purple Purple\nPurple Blue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple\nPurple Purple Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple\nPurple Purple Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple\nPurple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Black Pink Pink Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Black Black Black Pink Black\nOrange Pink Black Black Black Black Pink Orange\nGray Blue Blue Black Black Black Blue Black\nBlack Black Blue Black Black Blue Blue Black\nGray Black Black Black Black Black Black Gray\nYellow Gray Blue Black Black Blue Black Yellow\nOrange Black Gray Red Red Gray Black Black\nBlack Gray Gray Black Black Black Gray Black\n\nOutput:\nOrange Pink Black Black Black Black Pink Orange\nOrange Pink Black Black Black Black Pink Orange\nGray Blue Blue Black Black Blue Blue Gray\nBlack Blue Blue Black Black Blue Blue Black\nGray Black Black Black Black Black Black Gray\nYellow Gray Blue Black Black Blue Gray Yellow\nOrange Black Gray Red Red Gray Black Orange\nBlack Gray Gray Black Black Gray Gray Black\n\n\nExample 2\nInput:\nBlack Black Black Black Purple Black Black\nBlack Pink Pink Black Pink Pink Black\nBlack Pink Black Purple Purple Pink Pink\nBlack Green Green Purple Green Green Green\nGreen Black Blue Purple Blue Blue Green\nGreen Green Black Purple Blue Black Green\nBlack Black Pink Black Pink Black Black\n\nOutput:\nBlack Black Purple Black Purple Black Black\nBlack Pink Pink Black Pink Pink Black\nPink Pink Purple Purple Purple Pink Pink\nGreen Green Green Purple Green Green Green\nGreen Blue Blue Purple Blue Blue Green\nGreen Green Blue Purple Blue Green Green\nBlack Black Pink Black Pink Black Black\n\n\nExample 3\nInput:\nOrange Red Black Black Black Black Red Red Orange\nBlack Green Black Black Black Black Black Green Black\nGreen Green Black Black Black Black Gray Green Green\nPink Purple Gray Black Pink Black Gray Black Pink\nBlack Blue Gray Black Pink Orange Gray Blue Black\nBlack Red Orange Orange Orange Black Black Red Black\nBlack Red Brown Pink Black Pink Black Black Black\n\nOutput:\nOrange Red Red Black Black Black Red Red Orange\nBlack Green Black Black Black Black Black Green Black\nGreen Green Gray Black Black Black Gray Green Green\nPink Purple Gray Black Pink Black Gray Purple Pink\nBlack Blue Gray Orange Pink Orange Gray Blue Black\nBlack Red Orange Orange Orange Orange Orange Red Black\nBlack Red Brown Pink Black Pink Brown Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Red Purple Red Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nGreen Black Black Brown Purple Brown Black Red Green\nYellow Brown Brown Black Purple Brown Brown Brown Yellow\nBlack Black Black Brown Brown Brown Black Green Black\nBlack Green Black Gray Pink Gray Black Black Black\nBlack Brown Brown Black Pink Green Brown Brown Yellow\nYellow Pink Pink Green Red Green Black 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 Red Purple Red Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nGreen Red Black Brown Purple Brown Black Red Green\nYellow Brown Brown Brown Purple Brown Brown Brown Yellow\nBlack Green Black Brown Brown Brown Black Green Black\nBlack Green Black Gray Pink Gray Black Green Black\nYellow Brown Brown Green Pink Green Brown Brown Yellow\nYellow Pink Pink Green Red Green Pink Pink Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Orange Orange Red Red Red Red Red\nRed Red Red Red Red Red Red Orange Red Red Red Red Red\nRed Red Red Red Red Orange Orange Orange Red Red Red Red Red\nRed Red Red Red Red Orange Red Red Red Red Red Red Red\nRed Red Red Red Red Orange Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\n\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 Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\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 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 Orange Orange Orange Orange Red Red Red Red\nRed Red Red Red Red Orange Orange Red Red Red Red Red\nRed Red Red Red Red Orange Orange Red Red Red Red Red\nRed Red Red Red Orange Orange Orange Orange Red Red Red Red\nRed Red Red Red Red Orange Orange 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 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\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 Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\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 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 Red Red Red Red Gray Gray Red Red Red Red Red\nRed Red Red Red Red Gray Gray Red Red Red Red Red\nRed Red Red Red Red Gray Gray Red Red Red Red Red\nRed Red Red Red Red Gray Gray Red Red Red Red Red\nRed Red Red Red Red Gray Gray 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 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\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 Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\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 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 Pink Pink Red Red Red Red Red Red\nRed Red Red Red Red Red Pink Red Red Red Red Red Red Red\nRed Red Red Red Red Red Pink 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 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nGray Gray Gray Gray Gray Gray Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Green 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown\nBlack 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 Brown Brown Brown Brown Brown Brown\nBlack 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 Green Green Green Green Green Green Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Yellow Black Brown Black Black\nBlack Brown Yellow Yellow Black Brown Brown Black\nBrown Brown Green Green Black Green Yellow Red\nBlack Black Black Purple Purple Green Yellow Yellow\nYellow Yellow Green Purple Purple Black Black Black\nRed Yellow Green Black Green Green Brown Brown\nBlack Brown Brown Black Yellow Yellow Brown Black\nBlack Black Brown Black Yellow Red Black Black\n\nOutput:\nBlue Black Red Yellow Black Brown Black Blue\nBlack Blue Yellow Yellow Black Brown Blue Black\nBrown Brown Red Green Black Red Yellow Red\nBlack Black Black Gray Gray Green Yellow Yellow\nYellow Yellow Green Gray Gray Black Black Black\nRed Yellow Red Black Green Red Brown Brown\nBlack Blue Brown Black Yellow Yellow Blue Black\nBlue Black Brown Black Yellow Red Black Blue\n\n\nExample 2\nInput:\nBlack Orange Orange Black Orange Orange Black\nGreen Orange Orange Orange Orange Orange Green\nOrange Orange Orange Orange Orange Orange Orange\nGray Yellow Orange Black Orange Yellow Gray\nOrange Pink Pink Black Pink Pink Orange\nOrange Orange Orange Black Orange Orange Orange\nOrange Orange Black Black Black Orange Orange\n\nOutput:\nBlue Orange Orange Black Orange Orange Blue\nGreen Orange Orange Orange Orange Orange Green\nOrange Orange Orange Orange Orange Orange Orange\nGray Yellow Orange Blue Orange Yellow Gray\nOrange Pink Yellow Black Yellow Pink Orange\nOrange Orange Orange Black Orange Orange Orange\nOrange Orange Black Black Black Orange Orange\n\n\nExample 3\nInput:\nPurple Gray Yellow Gray Black Gray Yellow Gray Purple\nGray Gray Gray Gray Pink Gray Gray Gray Gray\nGray Gray Red Blue Gray Blue Red Gray Gray\nBlue Brown Red Red Red Red Red Brown Blue\nBlue Pink Pink Brown Purple Brown Pink Pink Blue\nOrange Orange Brown Brown Purple Brown Brown Orange Orange\nOrange Orange Purple Brown Orange Brown Purple Orange Orange\n\nOutput:\nPurple Gray Pink Gray Black Gray Pink Gray Purple\nGray Gray Gray Purple Pink Purple Gray Gray Gray\nGray Gray Red Blue Purple Blue Red Gray Gray\nBlue Brown Red Green Red Green Red Brown Blue\nBlue Pink Yellow Brown Purple Brown Yellow Pink Blue\nOrange Orange Brown Brown Purple Brown Brown Orange Orange\nOrange Orange Purple Brown Orange Brown Purple Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBrown Yellow Yellow Yellow Blue Green Blue Blue Purple\nPink Brown Purple Blue Black Black Gray Purple Purple\nRed Pink Orange Green Orange Pink Pink Purple Red\nRed Orange Pink Green Pink Pink Green Green Yellow\nOrange Orange Red Pink Purple Purple Green Blue Black\nRed Orange Pink Green Pink Pink Green Green Yellow\nRed Pink Orange Green Orange Pink Pink Purple Red\nPink Brown Purple Blue Black Black Gray Purple Purple\nBrown Yellow Yellow Yellow Blue Green Blue Blue Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Yellow Yellow Yellow Blue Green Blue Blue Gray\nPink Blue Purple Blue Black Black Gray Gray Purple\nRed Pink Orange Green Orange Pink Yellow Purple Red\nRed Orange Pink Red Pink Yellow Green Green Yellow\nOrange Orange Red Pink Gray Purple Green Blue Black\nRed Orange Pink Red Pink Yellow Green Green Yellow\nRed Pink Orange Green Orange Pink Yellow Purple Red\nPink Blue Purple Blue Black Black Gray Gray Purple\nBlue Yellow Yellow Yellow Blue Green Blue Blue Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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\nBlack Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Green Green Black\nBlack Black Black Black Black Black Black Green Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Green Black Green Green Black Black Black\nBlack Black Black Black Black Black Green Black Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Blue Blue Black Black\nBlue Blue Blue Blue Blue Black Black Blue Blue Black Black Black\n\nOutput:\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Green Black Black Black Black\nBlack Black Black Green Green Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Green Green Black Black\nGreen Green Green Green Green Black Black Green Green Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue 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\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue 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 Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Green Black Black Black Black Black\nBlack Black Black Green Green Black Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue 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 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 Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Gray Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack 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 Green Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack 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 Green Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue 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\nBrown Black Black Black Black Black Black\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBrown Black Black Black Black Black Black\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue 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 Purple Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown 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 Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Blue Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Brown Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Brown Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow 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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Pink Pink Pink Pink 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\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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Pink Pink Pink Pink 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange 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 Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green 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\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Purple Purple Purple Blue Blue Blue Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Purple Purple Purple Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Purple Purple Purple Black Blue Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green 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\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\n\nOutput:\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Red Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Red Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Red Red Red Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange\n\n\nExample 2\nInput:\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nBlue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nBlue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red\n\nOutput:\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nGreen Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nGreen Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Green Green Green\nGreen Green Green Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\nGreen Green Green Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red\n\n\nExample 3\nInput:\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nPink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\n\nOutput:\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Orange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Pink Pink Pink Blue Blue Blue\nRed Red Red Pink Pink Pink Blue Blue Blue\nRed Red Red Pink Pink Pink Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Blue Blue Blue 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```\nBlue Blue Blue Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink 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\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nPink Pink Pink Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Blue\nBlue 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 Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray\nGray Blue Gray Blue Blue Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Blue\nBlue 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 Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray\nGray Blue Gray Blue Blue Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Black Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nGray Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Red Black Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nGray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Blue Pink Pink Pink Pink Pink Pink Blue Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink\nPink 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 Blue Pink Pink Pink Pink Pink\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Blue Pink Pink Pink Pink Pink Pink Blue Pink Pink Gray Red Gray Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Red Black Red Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Red Gray Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Pink Pink Pink Pink Pink\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Yellow Yellow Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Blue Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input 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 Red Black Red Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Red Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Yellow Yellow Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Blue Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black\nOrange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Orange Orange Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange 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 Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray 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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Blue Yellow\nGreen Black Black Orange Black Black Yellow Blue\nBlack Green Black Black Black Yellow Black Black\nBlack Black Green Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Red\nBlack Black Yellow Black Black Black Red Black\nBlack Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black\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 Blue Black\nGreen Black Black Black Black Black Black Blue\nBlack Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow 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\n\nExample 2\nInput:\nBlack Black Black Black Black Black Yellow\nBlack Brown Black Black Black Yellow Black\nBlack Black Brown Black Yellow Black Orange\nBlack Green Black Yellow Black Orange Black\nBlack Black Green Black Orange Black Black\nBlue Black Black Green Black Black Black\nBlack Blue Orange Black Green Black Red\nBlack Orange Blue Black Black Black Black\nOrange Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black\nBlack Black Brown Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Black Black Red\nBlack Orange Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Red Black Blue\nBlack Black Black Black Black Black Black\nBrown Black Black Black Black Black Orange\nBlack Brown Black Black Black Orange Yellow\nBlack Black Brown Black Orange Yellow Black\nBlack Black Black Brown Yellow Black Black\nBlack Black Black Yellow Brown Black Black\nBlack Black Yellow Black Black Green Black\nBlack Black Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\nBrown Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black\nBlack Black Black Black Orange Yellow Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Yellow 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 Orange Black Black Black\nBlack Black Black Black Orange Black Black Black Red\nBlack Black Black Orange Black Black Black Red Black\nBlack Black Orange Black Black Black Red Black Black\nBlack Black Black Black Black Brown Black Black Yellow\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown Black Black Orange Black Black Black\nPurple Black Black Black Black Black Black Green Black Black\nGreen Blue Orange Black Black Green Black Black Black Black\nOrange Yellow Brown Black Black Black Black Black Black Black\nGray Black Pink Black Black Red Orange Gray Yellow Black\nBrown Black Black Black Gray Blue Black Black Red Purple\nBlack Black Black Black Brown Orange Black Brown Black Black\nBlack Black Gray Brown Black Black Black Gray Black Yellow\nBlack Pink Gray Gray Red Red Black Black Black Black\nBlack Purple Black Purple Black Black Black Yellow Black Yellow\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Blue Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Purple Yellow Black Orange Yellow\nBrown Black Black Black Black Black Black Black Black Black\nBlack Orange Brown Black Black Black Black Black Black Black\nBlack Black Black Purple Brown Black Black Red Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Red Black\nPink Black Pink Orange Black Blue Pink Black Black Black\nYellow Black Blue Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Gray Black Green Black Black Black Black Brown Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Brown Brown Brown Brown\nBrown Brown Blue Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Blue Black Black\nBrown Black Pink Purple Brown Yellow Black Black Black Black\nGray Black Black Green Black Pink Black Gray Black Pink\nBlack Brown Black Black Purple Black Blue Black Black Black\nBlack Brown Black Black Black Blue Black Black Green Black\nBlue Black Black Black Black Green Black Black Black Black\nBlack Black Black Green Black Black Pink Green Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Red Blue Black Black Black Brown\nRed Yellow Black Black Red Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Blue Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Brown Brown Brown Brown\nBlue Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Brown Black Black Pink Purple Orange Black Black\nOrange Black Red Black Black Brown Blue Brown Black Black\nBlack Black Black Black Yellow Black Yellow Pink Red Black\nBlack Blue Purple Black Green Black Black Black Black Blue\nBlack Orange Black Gray Black Pink Black Black Black Black\nYellow Orange Orange Black Black Black Red Pink Black Black\nBlack Black Purple Red Black Blue Black Black Black Black\nBrown Black Gray Orange Pink Black Black Brown Black Blue\nBlack Black Black Blue Brown Black Blue Blue Purple Black\nGray Black Red Black Black Black Black Red Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Blue Brown Brown Brown Brown Brown Brown Brown Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Blue\nBrown Brown Brown Blue Brown Brown Blue Blue Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Black Brown Black Blue Gray Blue Black Black Black Black Black Purple Black Black Black Black Black Black Blue\nBlack Black Black Black Blue Black Black Black Black Black Blue Orange Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Brown Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Brown Black Gray Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Orange Black Black Black Black Black Black Gray Black Brown Purple Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Black Brown Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Brown Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black Orange Brown Black Black Black Blue Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Blue Black Purple Black Black Black Black Black\nBlack Black Gray Black Black Blue Gray Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Gray Black Black Black Gray Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Blue Black Blue Black\nBrown Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black 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 Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Brown Black Black Purple Black Black Black Black Black Black\n\nOutput:\nBlack Orange Orange Orange Brown Brown Blue Black Blue Blue Black Black Brown Purple Purple Purple Black Black Black Black Blue Blue\nBlack Black Orange Black Black Blue Blue Black Blue Blue Black Black Brown Brown Purple Black Black Black Black Purple Black Blue\nBlack Black Black Black Brown Black Black Gray Black Black Black Black Brown Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Brown Brown Brown Gray Gray Gray Black Black Black Black Purple Black Black Brown Black Gray Purple Black Black\nBlack Gray Black Black Brown Black Black Gray Black Black Black Black Purple Purple Purple Brown Brown Brown Gray Gray Black Black\nGray Gray Purple Black Black Black Black Orange Black Black Black Black Black Purple Gray Black Brown Purple Gray Black Black Black\nBlack Purple Purple Purple Black Blue Orange Orange Orange Brown Black Black Black Gray Gray Gray Black Purple Purple Black Black Black\nBlack Black Purple Black Blue Blue Blue Black Brown Brown Brown Black Gray Gray Orange Black Black Purple Black Black Black Black\nBlack Black Black Blue Blue Purple Black Black Brown Brown Black Black Black Orange Orange Orange Black Black Black Blue Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Orange Orange Black Purple Black Blue Blue Blue Black\nBlack Black Gray Black Black Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple Black Blue Black Black\nBlack Gray Gray Gray Black Black Black Gray Gray Black Black Black Gray Black Purple Purple Purple Black Brown Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Purple Black Brown Brown Brown Blue Black\nBrown Black Black Purple Black Black Black Black Gray Black Black Black Gray Black Purple Purple Purple Black Black Blue Blue Blue\nBrown Brown Purple Purple Purple Black Black Orange Black Black Black Black Black Black Black Purple Blue Black Black Black Blue Black\nBrown Black Black Purple Black Black Orange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Brown Blue Blue Purple Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Purple Purple Purple 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 Red\nBlack Black Black Black Pink Red Orange Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Pink Black Black Gray Black Black Black\nRed Black Black Black Black Black Black Pink Purple Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Red Black Black Orange Black Black Pink Black\nBlack Pink Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Orange Black Black Black Orange Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Red Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Pink Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Black Black Black Black Black Gray Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Orange Orange Black Black Black Gray Gray Gray Black Black Black Black Black Red\nBlack Black Black Black Black Purple Orange Black Black Black Black Black Gray Purple Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Purple Black Black Black Black Black Purple Purple Purple Black Gray Black Black Black\nRed Black Black Pink Pink Pink Black Black Purple Black Black Black Black Black Black Gray Gray Gray Black Black\nRed Red Black Black Pink Black Black Black Purple Purple Black Black Black Black Black Black Gray Black Black Orange\nRed Black Black Black Black Black Black Black Purple Black Black Black Red Black Black Orange Black Black Pink Orange\nBlack Pink Black Black Black Black Black Black Orange Black Black Black Red Red Orange Orange Orange Pink Pink Pink\nPink Pink Pink Black Black Black Black Orange Orange Orange Black Black Red Black Black Pink Black Black Pink Black\nBlack Orange Black Black Black Orange Black Black Orange Purple Black Black Black Black Pink Pink Pink Black Black Black\nOrange Orange Orange Black Orange Orange Orange Black Purple Purple Purple Black Black Black Black Pink Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Red Black Black Black Gray Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Red Red Red Black Gray Gray Gray Black Black Purple Black Black Black Black Black Pink Purple\nPurple Black Black Orange Red Black Black Black Gray Black Black Purple Purple Purple Black Black Black Pink Pink Pink\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Orange Orange Black Black Black Black Pink Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Blue Black Pink Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Blue Black Black Black Black Black Black Black Black Blue Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Orange Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Pink Black Blue Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Black Black Pink Pink Pink Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Pink Black Blue Black Black Black Black Blue Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Black Orange\nBlack Black Black Black Black Black Blue Black Black Black Black Black Blue Blue Blue Pink Black Orange Black Orange Orange\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Blue Pink Pink Pink Black Black Black Orange\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Pink Blue Black Pink Black Black\nBlack Black Black Black Black Orange Orange Blue Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Black\nBlack Blue Black Black Black Black Blue Blue Blue Black Orange Black Black Orange Black Black Blue Black Pink Black Black\nBlue Blue Blue Black Black Black Black Blue Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Pink\nOrange Blue Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black Black Black Pink Pink\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Pink\nOrange Black Black Black Pink Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Orange\nBlack Black Blue Pink Pink Pink Black Black Black Black Black Blue Black Pink Black Black Black Black Black Orange Orange\nBlack Blue Blue Blue Pink Black Black Black Black Black Blue Blue Blue Pink Pink Black Black Black Black Black Orange\nBlack Black Blue Black Black Black Black Black Orange Black Black Blue Black Pink Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Pink Black Blue Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Black Black Black Black Brown Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Brown Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBrown Black Black Yellow Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Yellow Black Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Orange Black Black Black Black Black Black Orange Brown Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Yellow Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Orange Black Black Black Black Black Black Black Brown\nBlack Black Yellow Black Black Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Yellow\nBlack Black Brown Black Black Black Black Black Blue Black Black Orange Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Yellow Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Brown Yellow Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Brown Black Blue Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Yellow Black Yellow Brown Brown Brown Black Blue Yellow Yellow Yellow Black Black Black Black Black\nBlack Brown Yellow Yellow Yellow Yellow Brown Brown Black Brown Blue Blue Yellow Black Black Black Black Black Black\nBlack Black Blue Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Blue Blue Yellow Black Black Brown Black Blue Blue Black Black Black Black Black Black Black Black Black\nBrown Brown Yellow Yellow Orange Black Black Yellow Blue Blue Black Yellow Black Black Yellow Black Black Black Black\nBrown Orange Black Orange Orange Orange Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nOrange Orange Brown Black Yellow Black Black Yellow Black Brown Brown Black Black Black Yellow Black Black Black Black\nBlack Brown Brown Brown Yellow Yellow Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Blue Blue Blue Brown Black Orange Black Black Black Black Black Black Black Brown\nBlack Black Yellow Orange Orange Orange Orange Black Black Orange Orange Orange Black Black Orange Black Black Brown Brown\nBlack Yellow Yellow Yellow Orange Orange Orange Orange Black Blue Orange Black Black Orange Orange Orange Black Black Yellow\nBlack Black Brown Black Black Black Black Blue Blue Blue Blue Orange Black Black Orange Black Black Yellow Yellow\nBlack Blue Brown Brown Black Black Black Blue Blue Blue Orange Orange Yellow Black Black Brown Black Black Yellow\nBlue Blue Blue Black Black Black Black Black Blue Black Black Yellow Yellow Yellow Brown Brown Brown Black Black\nBlack Blue Black Blue Black Black Orange Black Black Black Black Black Yellow Black Black Brown Black Black Yellow\nBlack Black Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Orange Yellow Yellow\nBlack Black Black Blue Black Black Orange Black Brown Black Black Black Black Yellow Black Orange Orange Orange Yellow\nBlack Brown Black Black Black Black Black Brown Brown Brown Black Brown Brown Yellow Yellow Black Orange Black Black\nBrown Brown Brown Black Black Black Black Black Brown Black Brown Brown Brown Black Yellow Yellow Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Purple Orange Black Black Black Black Black Black Black\nYellow Purple Orange Black Black Black Black Black Black Black\nYellow Purple Orange Black Black Black Black Black Black Black\nYellow Purple Orange Black Black Black Black Black Black Black\nYellow Purple Orange Black Black Black Black Black Black Black\nYellow Purple Orange Black Black Black Black Black Black Black\nYellow Purple Orange Black Black Black Black Black Black Black\nYellow Purple Orange Black Black Black Black Black Black Black\nYellow Purple Orange Black Black Black Black Black Black Black\nYellow Purple Orange Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Orange Yellow Blue Black Black Black Black Black Black\nPink Orange Yellow Blue Black Black Black Black Black Black\nPink Orange Yellow Blue Black Black Black Black Black Black\nPink Orange Yellow Blue Black Black Black Black Black Black\nPink Orange Yellow Blue Black Black Black Black Black Black\nPink Orange Yellow Blue Black Black Black Black Black Black\nPink Orange Yellow Blue Black Black Black Black Black Black\nPink Orange Yellow Blue Black Black Black Black Black Black\nPink Orange Yellow Blue Black Black Black Black Black Black\nPink Orange Yellow Blue Black Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Gray Brown Yellow Black Black Black Black Black Black\nOrange Gray Brown Yellow Black Black Black Black Black Black\nOrange Gray Brown Yellow Black Black Black Black Black Black\nOrange Gray Brown Yellow Black Black Black Black Black Black\nOrange Gray Brown Yellow Black Black Black Black Black Black\nOrange Gray Brown Yellow Black Black Black Black Black Black\nOrange Gray Brown Yellow Black Black Black Black Black Black\nOrange Gray Brown Yellow Black Black Black Black Black Black\nOrange Gray Brown Yellow Black Black Black Black Black Black\nOrange Gray Brown Yellow Black Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Pink Black Black Black Black Black Black Black Black\nGray Pink Black Black Black Black Black Black Black Black\nGray Pink Black Black Black Black Black Black Black Black\nGray Pink Black Black Black Black Black Black Black Black\nGray Pink Black Black Black Black Black Black Black Black\nGray Pink Black Black Black Black Black Black Black Black\nGray Pink Black Black Black Black Black Black Black Black\nGray Pink Black Black Black Black Black Black Black Black\nGray Pink Black Black Black Black Black Black Black Black\nGray Pink Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray 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\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nOrange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Red Red Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nGreen Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green 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 Orange Orange Orange Orange Green Green Green Green Red Red Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Green Green Green Green Red Red Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Green Green Green Green Red Red Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Green Green Green Green Red Red Red Red Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Red Red Red Red Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Red Red Red Red Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Red Red Red Red Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Red Red Red Red Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Brown Brown Brown Brown Red Red Red Red Black Black Black Black Black Black Black Black\nGreen Green Green Green Brown Brown Brown Brown Red Red Red Red Black Black Black Black Black Black Black Black\nGreen Green Green Green Brown Brown Brown Brown Red Red Red Red Black Black Black Black Black Black Black Black\nGreen Green Green Green Brown Brown Brown Brown Red Red Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue Red Red Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Brown Brown Brown Brown Green Green Green Green Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Brown Brown Brown Brown Green Green Green Green Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Brown Brown Brown Brown Green Green Green Green Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Brown Brown Brown Brown Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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\nPink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Green Green Green Green Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Green Green Green Green Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Green Green Green Green Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Green Green Green Green Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple\nBlack Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple\nBlack Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple\nOrange Orange Orange Black Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Red Red Red Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Red Red Red Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nPink Pink Pink Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black\nPink Pink Pink Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black\nPink Pink Pink Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Green Green Green\nPink Pink Pink Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black Gray Gray Gray Black Black Black\nPink Pink Pink Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black Gray Gray Gray Black Black Black\nPink Pink Pink Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Green Green Green\nBlack Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Green Green Green\nBlack Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Green Green Green\nGray Gray Gray Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black\nGray Gray Gray Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black\nGray Gray Gray Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black\n\nOutput:\nBlack Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\nPink Pink Pink Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nPink Pink Pink Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nPink Pink Pink Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nOrange Orange Orange Black Black Black Gray Gray Gray Black Black Black Red Red Red Black Black Black Pink Pink Pink Black Black Black\nOrange Orange Orange Black Black Black Gray Gray Gray Black Black Black Red Red Red Black Black Black Pink Pink Pink Black Black Black\nOrange Orange Orange Black Black Black Gray Gray Gray Black Black Black Red Red Red Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black\nPurple Purple Purple Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black\nPurple Purple Purple Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange\nBlack Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nRed Red Red Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Blue Blue Blue\nRed Red Red Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Blue Blue Blue\nRed Red Red Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Blue Blue Blue\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black\nOrange Orange Orange Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray\nOrange Orange Orange Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray\nOrange Orange Orange Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black\nPink Pink Pink Black Black Black Red Red Red Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple\nPink Pink Pink Black Black Black Red Red Red Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple\nPink Pink Pink Black Black Black Red Red Red Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple\n\nOutput:\nGreen Green Green Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink\nGreen Green Green Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink\nGreen Green Green Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Red Red Red\nBlack Black Black Orange Orange Orange Black Black Black Red Red Red Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Red Red Red Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Red Red Red Black Black Black Orange Orange Orange Black Black Black\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Purple Purple Purple\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Purple Purple Purple\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Purple Purple Purple\nBlack Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Red Red Red Black Black Black\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray\n\n\nExample 3\nInput:\nYellow Yellow Yellow Black Black Black Red Red Red Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray\nYellow Yellow Yellow Black Black Black Red Red Red Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray\nYellow Yellow Yellow Black Black Black Red Red Red Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray\nBlack Black Black Green Green Green Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Green Green Green Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Green Green Green Black Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange\nBlack Black Black Red Red Red Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Red Red Red Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Red Red Red Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black\nPurple Purple Purple Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\nPurple Purple Purple Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\nPurple Purple Purple Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black\nOrange Orange Orange Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nOrange Orange Orange Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nOrange Orange Orange Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\n\nOutput:\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple\nBlack Black Black Yellow Yellow Yellow Black Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black\nRed Red Red Black Black Black Pink Pink Pink Black Black Black Red Red Red Black Black Black Pink Pink Pink\nRed Red Red Black Black Black Pink Pink Pink Black Black Black Red Red Red Black Black Black Pink Pink Pink\nRed Red Red Black Black Black Pink Pink Pink Black Black Black Red Red Red Black Black Black Pink Pink Pink\nBlack Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nGray Gray Gray Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple\nGray Gray Gray Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple\nGray Gray Gray Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple\nBlack Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Red Red Red\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Red Red Red\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nBlue Blue Blue Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nBlue Blue Blue Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nBlack Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black\nRed Red Red Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Red Red Red\nRed Red Red Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Red Red Red\nRed Red Red Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Red Red Red\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Red Red Red Black Black Black\nYellow Yellow Yellow Black Black Black Red Red Red Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Red Red Red Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Red Red Red Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange\nBlack Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Red Red Red Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Red Red Red Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Red Red Red Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nPurple Purple Purple Black Black Black Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange\nRed Red Red Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange\nRed Red Red Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange\nBlack Black Black Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black\nRed Red Red Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue\nRed Red Red Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue\nRed Red Red Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black 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\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Blue Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Blue Black\nBlack Blue Blue Black Blue Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Black Blue Blue Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue 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 Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Blue Blue Blue 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 Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue 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 Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue 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:\nPurple Pink Green Purple Purple Brown Blue Orange Brown Gray\nPurple Gray Blue Blue Orange Gray Orange Purple Orange Purple\nRed Red Pink Brown Green Yellow Green Gray Orange Brown\nBrown Yellow Yellow Gray Yellow Purple Orange Pink Green Pink\nRed Blue Gray Purple Yellow Green Orange Blue Green Yellow\nBrown Purple Yellow Pink Orange Green Red Orange Brown Pink\nRed Brown Yellow Pink Brown Green Purple Gray Orange Orange\nOrange Purple Purple Gray Purple Purple Yellow Orange Pink Purple\n\nOutput:\nPurple Gray Blue Blue Orange Gray Orange Purple Orange Purple\nRed Red Pink Brown Green Yellow Green Gray Orange Brown\nBrown Yellow Yellow Gray Yellow Purple Orange Pink Green Pink\nRed Blue Gray Purple Yellow Green Orange Blue Green Yellow\nBrown Purple Yellow Pink Orange Green Red Orange Brown Pink\nRed Brown Yellow Pink Brown Green Purple Gray Orange Orange\nOrange Purple Purple Gray Purple Purple Yellow Orange Pink Purple\nRed Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nYellow Orange Purple Red Yellow Brown Orange\nRed Gray Yellow Green Yellow Purple Red\nPurple Gray Gray Blue Green Purple Gray\nPurple Brown Pink Orange Green Brown Blue\nPurple Yellow Gray Pink Pink Brown Pink\nBrown Orange Purple Purple Brown Gray Green\nBrown Pink Red Purple Orange Brown Red\nOrange Red Purple Blue Blue Purple Blue\nOrange Orange Blue Yellow Orange Blue Yellow\nPink Pink Pink Orange Pink Brown Orange\n\nOutput:\nRed Gray Yellow Green Yellow Purple Red\nPurple Gray Gray Blue Green Purple Gray\nPurple Brown Pink Orange Green Brown Blue\nPurple Yellow Gray Pink Pink Brown Pink\nBrown Orange Purple Purple Brown Gray Green\nBrown Pink Red Purple Orange Brown Red\nOrange Red Purple Blue Blue Purple Blue\nOrange Orange Blue Yellow Orange Blue Yellow\nPink Pink Pink Orange Pink Brown Orange\nRed Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlue Yellow Purple Pink Pink Purple Pink\nPurple Blue Orange Brown Yellow Green Purple\nPink Green Purple Yellow Red Orange Orange\nBrown Yellow Blue Brown Gray Yellow Blue\nBrown Green Blue Purple Orange Purple Green\nYellow Blue Gray Pink Green Blue Red\nOrange Green Green Gray Brown Pink Yellow\nBlue Brown Gray Orange Blue Gray Yellow\nYellow Red Blue Purple Blue Orange Brown\n\nOutput:\nPurple Blue Orange Brown Yellow Green Purple\nPink Green Purple Yellow Red Orange Orange\nBrown Yellow Blue Brown Gray Yellow Blue\nBrown Green Blue Purple Orange Purple Green\nYellow Blue Gray Pink Green Blue Red\nOrange Green Green Gray Brown Pink Yellow\nBlue Brown Gray Orange Blue Gray Yellow\nYellow Red Blue Purple Blue Orange Brown\nRed Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Blue Yellow Purple Green Orange Gray Pink Pink\nRed Orange Blue Red Green Blue Pink Pink Blue\nPink Yellow Pink Green Pink Orange Orange Orange Brown\nGreen Red Blue Blue Red Purple Orange Brown Gray\nPurple Blue Yellow Yellow Orange Red Blue Brown Brown\nGreen Purple Brown Purple Gray Brown Yellow Pink Pink\nOrange Red Orange Purple Green Pink Brown Gray Green\nPurple Gray Brown Orange Purple Red Purple Pink Gray\nGray Gray Purple Brown Yellow Blue Pink Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Orange Blue Red Green Blue Pink Pink Blue\nPink Yellow Pink Green Pink Orange Orange Orange Brown\nGreen Red Blue Blue Red Purple Orange Brown Gray\nPurple Blue Yellow Yellow Orange Red Blue Brown Brown\nGreen Purple Brown Purple Gray Brown Yellow Pink Pink\nOrange Red Orange Purple Green Pink Brown Gray Green\nPurple Gray Brown Orange Purple Red Purple Pink Gray\nGray Gray Purple Brown Yellow Blue Pink Gray Pink\nRed Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Pink Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Blue Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Blue 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\nYellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Blue Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Orange Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Orange Blue Blue Blue Black Black Black Black\nBlack Black Black Yellow Purple Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow 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 Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Orange Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Orange Blue Blue Blue Black Black Black Black Black\nBlack Black Yellow Purple Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black\nBlack Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Brown Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Brown Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Red Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Pink Red Green Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Pink Red Green Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Pink Red Green Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Pink Red Green Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Orange Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Orange Yellow Yellow Yellow Yellow Yellow\nOrange Yellow Yellow Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Orange Yellow Orange Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Orange Black Yellow Yellow Yellow Yellow Yellow\nYellow Orange Orange Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Orange Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Orange Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Orange Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Orange\nYellow Yellow Yellow Yellow Yellow Orange Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Orange\nYellow Yellow Yellow Yellow Orange Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Orange Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Orange Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Orange Yellow\nYellow Yellow Yellow Yellow Orange Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Orange Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Orange Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Orange 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\nOrange 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:\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Yellow Blue Orange Black Black Black Black Black\nBlack Pink Black Black Black Gray Black Black Black Black\nBlack Purple Black Black Black Orange Black Black Black Black\nBlack Gray Black Black Black Orange Black Black Black Black\nBlack Pink Orange Green Green Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Pink Gray Gray Gray Gray Black Black Black Black\nBlack Purple Gray Gray Gray Orange Black Black Black Black\nBlack Gray Black Black Black Orange Black Black Black Black\nBlack Pink Orange Green Green Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Red Blue Black Brown Purple Black Black\nBlack Black Green Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Brown Black\nBlack Black Gray Black Black Black Black Black Gray Black\nBlack Black Black Red Black Black Black Brown Black Black\nBlack Black Black Black Orange Blue Purple 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 Pink Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Green Gray Gray Gray Gray Gray Purple Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Blue Gray Gray Gray Gray Gray Brown Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Red Black Black Black Brown Black Black\nBlack Black Black Black Orange Blue Purple 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 Blue Black Black Black Black\nBlack Black Black Yellow Yellow Black Blue Purple Black Black\nBlack Black Red Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Orange Black\nBlack Black Orange Black Black Black Black Black Purple Black\nBlack Black Black Purple Black Black Black Blue Black Black\nBlack Black Black Black Pink Gray Pink 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 Blue Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Red Gray Gray Gray Gray Gray Green Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Blue Gray Gray Gray Gray Gray Orange Black\nBlack Black Orange Gray Gray Gray Gray Gray Purple Black\nBlack Black Black Purple Black Black Black Blue Black Black\nBlack Black Black Black Pink Gray Pink 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 Purple Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Brown Black Orange Black Black Black Black Black Black\nBlack Blue Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Purple Black Black Black Black Black Black Black\nBlack Pink Gray Pink Black Black Black Black Black Black\nBlack Brown Black Orange Black Black Black Black Black Black\nBlack Blue Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Orange Orange Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Pink Orange Orange Gray Black Black Black Green Green Blue Blue Black\nBlack Black Black Black Black Black Red Gray Gray Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Green Yellow Red Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Green Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Blue Black Black Black Black Brown Brown Black Brown Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Purple Purple Brown Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Brown Purple Purple Black Black Black Black\nBlack Black Purple Gray Gray Gray Blue Black Black Black Brown Black Brown Brown Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Pink Orange Orange Gray Black Black Black Green Green Blue Blue Black\nBlack Black Black Black Black Pink Red Gray Gray Black Black Black Green Blue Blue Blue Blue\nBlack Black Black Black Green Yellow Red Gray Gray Black Black Black Green Blue Blue Blue Blue\nBlack Black Black Black Green Yellow Yellow Gray Gray Black Black Black Green Blue Blue Yellow Yellow\nBlack Black Black Black Green Yellow Yellow Gray Gray Black Black Black Green Blue Blue Yellow Yellow\nBlack Black Black Black Green Yellow Yellow Gray Gray Black Black Black Green Blue Blue Yellow Yellow\nOrange Orange Orange Orange Green Yellow Yellow Gray Gray Black Black Black Green Blue Blue Yellow Yellow\nOrange Blue Orange Orange Green Yellow Yellow Gray Gray Black Black Black Green Blue Blue Yellow Yellow\nOrange Orange Orange Orange Green Blue Yellow Gray Gray Black Brown Brown Green Brown Blue Yellow Yellow\nOrange Orange Orange Orange Green Blue Yellow Gray Gray Black Brown Purple Purple Brown Blue Yellow Yellow\nOrange Orange Orange Blue Blue Blue Blue Gray Gray Black Brown Purple Purple Brown Blue Yellow Yellow\nOrange Orange Purple Gray Gray Gray Blue Gray Gray Black Brown Purple Brown Brown Blue Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Yellow Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Blue Pink Pink Orange Black Black Black\nBlack Black Black Green Black Black Red Black Black Purple Purple Green Black Black Black\nBlack Black Black Blue Black Black Black Black Black Gray Orange Orange Black Black Black\nBlack Black Black Purple Black Black Purple Brown Black Black Black Black Black Black Black\nGreen Green Pink Red Black Black Purple Brown Brown Black Black Black Black Black Black\nBlack Green Black Black Black Black Purple Brown Brown Black Black Black Brown Yellow Brown\nBlack Black Black Black Black Black Purple Brown Brown Black Black Black Brown Black Brown\nBlack Black Black Black Black Black Purple Brown Black Black Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Green Brown\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 Blue Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Yellow Black Blue Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Blue Black Blue Pink Pink Orange Black Black Black\nBlack Black Black Green Pink Pink Red Black Blue Purple Purple Green Black Black Black\nBlack Black Black Blue Pink Pink Red Black Blue Gray Orange Orange Black Black Black\nBlack Black Black Purple Pink Pink Purple Brown Blue Gray Orange Orange Black Black Black\nGreen Green Pink Red Pink Pink Purple Brown Brown Gray Orange Orange Black Black Black\nGreen Green Pink Red Pink Pink Purple Brown Brown Gray Orange Orange Brown Yellow Brown\nGreen Green Pink Red Pink Pink Purple Brown Brown Gray Orange Orange Brown Yellow Brown\nGreen Green Pink Red Pink Pink Purple Brown Brown Gray Orange Orange Brown Yellow Brown\nGreen Green Pink Red Pink Pink Purple Brown Brown Gray Orange Orange Brown Green Brown\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Pink Brown Black Brown Pink Black Black Black Black\nBlack Orange Blue Purple Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Pink Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Pink Brown Black Brown Pink Black Black Black Black\nOrange Orange Blue Purple Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nOrange Orange Blue Purple Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nOrange Orange Blue Purple Black Black Blue Pink Pink Pink Pink Pink Black Black Black Black\nOrange Orange Blue Purple Blue Blue Blue Pink Pink Pink Pink Pink Black Black Black Black\nOrange Orange Blue Purple Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nOrange Orange Blue Purple Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nOrange Orange Blue Purple Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nOrange Orange Blue Purple Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\nOrange Orange Blue Purple Blue Blue Blue Blue Pink Pink Pink Pink Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Red Blue Black Black Black Black Black Black Black Black Black Black Black\nOrange Red Black Black Black Black Black Black Black Black Black Black Black Black\nPink Red Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Green Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Gray\nBlue Blue Black Black Black Black Black Black Black Black Black Brown Brown Gray\nBlack Blue Green Black Black Black Black Black Black Black Purple Brown Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Blue Blue Pink\nBlack Black Black Black Black Black Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Pink Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Red Blue Black Black Black Black Black Black Black Black Black Black Black\nOrange Red Blue Black Black Black Black Black Black Black Black Black Black Black\nPink Red Blue Black Black Black Black Black Black Black Black Black Black Black\nPink Red Blue Black Black Black Black Black Black Black Black Black Black Black\nPink Red Blue Black Black Black Black Black Black Black Black Black Black Black\nPink Blue Green Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Green Black Black Black Black Black Black Black Black Black Black Gray\nBlue Blue Green Black Black Black Black Black Black Black Black Brown Brown Gray\nBlue Blue Green Black Black Black Black Black Black Black Purple Brown Brown Gray\nBlue Blue Green Black Black Black Purple Black Black Black Purple Blue Blue Pink\nBlue Blue Green Black Black Black Orange Orange Black Black Purple Blue Blue Blue\nBlue Blue Green Black Black Black Orange Pink Gray Black Purple Blue Blue Blue\nBlue Blue Green Black Black Black Orange Pink Gray Black Purple 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 Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Green Green Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Green Green Green Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Green Green Green Green Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Green Blue Blue Blue Blue Red Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Green Green Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Green Green Green Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Green Green Green Green Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Green Blue Blue Blue Blue Red Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nRed Red Red Red Red Black Black Black Black Black Green Black Black Green Black Black Green Green Green Black Black\nBlack Black Red Red Black Black Black Black Black Green Green Green Green Green Green Green Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Green 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 Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Green Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\n\nOutput:\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nGreen Green Green Green Green Black Black Black Black Black Red Black Black Red Black Black Green Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Red Red Red Red Red Red Red Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black 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 Red Red Red Red Red Red Red Red Red Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Red Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Green Green Green Green Red Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Green Green Red Red Red Red Red Red Red Black Black Blue Black Black Black Black Black Black\nBlue Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nGreen Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Red Red Red Red Red Red Red Red Red Red Red Green Black Black Black Black Black Black\nBlue Green Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black\nGreen Green Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Black Black\nBlack Green Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Black Black\nBlack Black Green Red Red Red Red Red Red Red Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Blue Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Blue Blue Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Red Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Green Green Red Red Red Red Red Red Red Black Black Green Black Black Black Black Black Black\nBlue Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nGreen Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Red Red Red Red Red Red Red Red Red Red Red Green Black Black Black Black Black Black\nBlue Green Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black\nGreen Green Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Black Black\nBlack Green Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Black Black\nBlack Black Green Red Red Red Red Red Red Red Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Blue Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black 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 Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Green Green Green Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Green Green Green Green Green Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Green Green Green Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Green Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Green Green Green Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Green Green Green Green Green Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Green Green Green Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Blue Blue Green Blue Blue Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Red Red Red Red Red Red Red Red\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Red Red Red Red Red Red Red\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Red Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Yellow Black Brown Black Brown Brown Brown Brown Black Brown Brown Yellow Brown Brown Brown\nBrown Brown Brown Black Brown Brown Black Brown Yellow Brown Brown Brown Yellow Yellow Brown Brown Black Yellow\nBrown Yellow Black Black Yellow Yellow Yellow Black Brown Yellow Yellow Brown Brown Yellow Yellow Black Yellow Yellow\nBrown Yellow Brown Brown Brown Yellow Black Brown Brown Brown Brown Brown Brown Brown Black Yellow Black Yellow\nYellow Brown Brown Black Brown Black Yellow Black Brown Brown Black Black Yellow Yellow Brown Black Black Brown\nBlack Brown Brown Yellow Yellow Brown Brown Brown Black Brown Brown Black Brown Brown Black Yellow Yellow Brown\nYellow Yellow Brown Brown Yellow Yellow Brown Black Brown Yellow Brown Yellow Black Yellow Brown Yellow Yellow Brown\nBrown Black Brown Yellow Black Brown Brown Yellow Black Brown Yellow Brown Brown Black Black Yellow Brown Brown\nBrown Brown Brown Yellow Brown Brown Black Brown Yellow Yellow Brown Black Brown Brown Yellow Black Brown Black\nBrown Black Black Black Black Black Black Brown Black Yellow Black Brown Black Brown Yellow Black Black Brown\nBrown Black Brown Brown Brown Black Black Yellow Brown Brown Brown Black Brown Yellow Brown Black Yellow Yellow\n\nOutput:\nBrown Brown Brown Yellow Black Brown Black Brown Brown Brown Brown Black Brown Brown Yellow Brown Brown Brown\nBrown Brown Brown Black Brown Brown Black Brown Yellow Brown Brown Brown Yellow Yellow Brown Brown Black Yellow\nBrown Yellow Black Black Yellow Yellow Yellow Black Brown Yellow Yellow Brown Brown Yellow Yellow Black Yellow Yellow\nBrown Yellow Brown Brown Brown Yellow Black Brown Brown Brown Brown Brown Brown Brown Black Yellow Black Yellow\nYellow Brown Brown Black Brown Black Yellow Black Brown Brown Black Black Yellow Yellow Brown Black Black Brown\nBlack Brown Brown Yellow Yellow Brown Brown Brown Black Brown Brown Black Brown Brown Black Yellow Yellow Brown\nYellow Yellow Brown Brown Yellow Yellow Brown Black Brown Yellow Brown Yellow Black Yellow Brown Yellow Yellow Brown\nBrown Black Brown Yellow Black Brown Brown Yellow Black Brown Yellow Brown Brown Black Black Yellow Brown Brown\nBrown Brown Brown Yellow Brown Brown Black Brown Yellow Yellow Brown Black Brown Brown Yellow Black Brown Black\nBrown Black Black Black Black Black Black Brown Black Yellow Black Brown Black Brown Yellow Black Black Brown\nBrown Black Black Black Black Black Black Yellow Brown Brown Brown Black Brown Yellow Brown Black Yellow Yellow\n\n\nExample 2\nInput:\nBlue Red Blue Red Black Black Black Black Black Blue Blue Blue Black Black Black Black\nRed Blue Blue Red Black Black Blue Black Blue Black Blue Red Black Black Black Red\nBlue Black Black Red Black Blue Black Black Black Black Black Blue Red Red Black Black\nBlack Black Blue Black Red Black Blue Red Black Blue Red Red Black Black Red Black\nRed Black Red Black Black Red Red Black Red Black Black Red Red Black Black Blue\nBlue Red Red Red Red Blue Black Black Blue Black Blue Red Black Black Blue Blue\nBlue Red Red Black Black Blue Red Black Blue Black Black Blue Black Blue Black Blue\nBlack Black Blue Black Blue Red Blue Blue Black Black Blue Red Black Black Black Black\nRed Blue Blue Red Black Black Red Blue Blue Blue Red Blue Blue Black Black Blue\nBlack Blue Black Black Blue Red Blue Blue Blue Blue Blue Red Blue Blue Blue Black\nBlue Red Black Red Blue Blue Red Red Black Blue Black Red Black Blue Black Red\nBlack Black Red Black Blue Black Blue Red Red Red Black Blue Black Black Blue Black\n\nOutput:\nBlue Red Blue Red Black Black Black Black Black Blue Blue Blue Black Black Black Black\nRed Blue Blue Red Black Black Blue Black Blue Black Blue Red Black Black Black Black\nBlue Black Black Red Black Blue Black Black Black Black Black Blue Red Red Black Black\nBlack Black Blue Black Red Black Blue Red Black Blue Red Red Black Black Red Black\nRed Black Red Black Black Red Red Black Red Black Black Red Red Black Black Blue\nBlue Red Red Red Red Blue Black Black Blue Black Blue Red Black Black Blue Blue\nBlue Red Red Black Black Blue Red Black Blue Black Black Blue Black Blue Black Blue\nBlack Black Blue Black Blue Red Blue Blue Black Black Blue Red Black Black Black Black\nRed Blue Blue Red Black Black Red Blue Blue Blue Red Blue Blue Black Black Blue\nBlack Blue Black Black Blue Red Blue Blue Blue Blue Blue Red Blue Blue Blue Black\nBlue Red Black Red Blue Blue Red Red Black Blue Black Red Black Blue Black Red\nBlack Black Red Black Blue Black Blue Red Red Red Black Blue Black Black Blue Black\n\n\nExample 3\nInput:\nRed Red Red Green Red Green Black Black Green Green Green Black Red\nBlack Green Green Black Black Black Green Red Black Red Green Red Green\nGreen Green Red Green Green Black Black Green Green Black Black Red Green\nGreen Green Green Black Black Green Black Red Black Green Black Black Black\nRed Red Black Black Green Black Black Black Red Red Black Black Red\nGreen Red Black Red Red Green Black Green Black Black Black Black Red\nBlack Red Green Black Black Black Red Red Green Red Green Black Black\nRed Black Black Red Black Red Red Red Black Green Black Green Green\nBlack Red Black Black Red Red Black Black Red Green Green Black Red\nGreen Black Black Red Black Green Black Black Red Black Green Green Red\nRed Green Black Black Black Red Black Black Green Green Black Green Red\nGreen Red Green Red Black Black Green Black Black Black Red Green Black\nRed Green Black Red Green Red Black Black Green Black Red Black Red\nRed Red Black Green Black Black Black Black Black Green Black Red Black\nGreen Red Red Black Green Green Black Black Red Black Red Green Red\nGreen Red Red Red Green Red Green Black Black Black Green Red Black\nBlack Black Black Black Black Red Green Black Green Green Black Red Green\nBlack Green Green Green Red Green Red Red Red Red Black Black Red\n\nOutput:\nRed Red Red Green Red Green Black Black Green Green Green Black Red\nBlack Green Green Black Black Black Green Red Black Red Green Red Green\nGreen Green Red Green Green Black Black Green Green Black Black Red Green\nGreen Green Green Black Black Green Black Red Black Green Black Black Black\nRed Red Black Black Green Black Black Black Red Red Black Black Black\nGreen Red Black Red Red Green Black Green Black Black Black Black Black\nBlack Red Green Black Black Black Red Red Green Red Green Black Black\nRed Black Black Red Black Red Red Red Black Green Black Green Green\nBlack Red Black Black Red Red Black Black Red Green Green Black Red\nGreen Black Black Red Black Green Black Black Red Black Green Green Red\nRed Green Black Black Black Red Black Black Green Green Black Green Red\nGreen Red Green Red Black Black Green Black Black Black Red Green Black\nRed Green Black Red Green Red Black Black Green Black Red Black Red\nRed Red Black Green Black Black Black Black Black Green Black Red Black\nGreen Red Red Black Green Green Black Black Red Black Red Green Red\nGreen Red Red Red Green Red Green Black Black Black Green Red Black\nBlack Black Black Black Black Red Green Black Green Green Black Red Green\nBlack Green Green Green Red Green Red Red Red Red Black Black Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Yellow Red Yellow Black Yellow Red Red Yellow Red\nYellow Black Red Black Black Black Black Black Black Black Yellow\nRed Yellow Red Yellow Red Black Red Black Black Black Red\nBlack Black Red Black Black Red Black Red Yellow Black Yellow\nRed Black Yellow Black Black Black Black Black Black Black Yellow\nYellow Yellow Black Black Red Red Black Yellow Black Black Black\nYellow Red Black Yellow Red Black Red Yellow Yellow Black Black\nBlack Black Yellow Red Yellow Red Red Black Red Black Black\nYellow Red Red Yellow Red Red Yellow Red Red Yellow Black\nBlack Yellow Red Black Yellow Yellow Yellow Red Black 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 Yellow Black Yellow Red Yellow Black Black Black Black Black\nBlack Yellow Black Red Black Black Black Black Black Black Black\nBlack Red Yellow Red Yellow Red Black Red Black Black Black\nBlack Black Black Red Black Black Red Black Red Yellow Black\nBlack Red Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Red Red Black Yellow Black Black\nBlack Yellow Red Black Yellow Red Black Red Yellow Yellow Black\nBlack Black Black Yellow Red Yellow Red Red Black Red Black\nBlack Yellow Red Red Yellow Red Red Yellow Red Red Yellow\nBlack Black Yellow Red Black Yellow Yellow Yellow Red Black Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black\nBrown Purple Purple Brown Black Black Black Black\nBrown Purple Purple Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Purple Purple Brown\nBlack Black Black Black Brown Purple Purple Brown\nBlack Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nOrange Yellow Yellow Orange Black Black Black Black\nGreen Purple Purple Green Black Black Black Black\nGreen Orange Orange Green Black Black Black Black\nRed Red Red Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Yellow Yellow Orange\nBlack Black Black Black Green Purple Purple Green\nBlack Black Black Black Green Orange Orange Green\nBlack Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Pink Pink Orange Black Black Black Black\nRed Orange Red Purple Black Black Black Black\nPink Gray Green Blue Black Black Black Black\nPink Gray Purple Purple Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Pink Pink Orange\nBlack Black Black Black Red Orange Red Purple\nBlack Black Black Black Pink Gray Green Blue\nBlack Black Black Black Pink Gray Purple Purple\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Brown Blue Purple Black Black Black Black\nRed Brown Pink Purple Black Black Black Black\nRed Brown Pink Purple Black Black Black Black\nRed Brown Blue Purple Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Brown Blue Purple\nBlack Black Black Black Red Brown Pink Purple\nBlack Black Black Black Red Brown Pink Purple\nBlack Black Black Black Red Brown Blue Purple\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Black Brown Brown Red Red Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nYellow Yellow Black Black Brown Brown Red Red Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nOrange Orange Purple Purple Pink Pink Brown Brown Pink Pink Black Black Brown Brown Orange Orange Black Black Black Black Yellow Yellow Purple Purple Black Black\nOrange Orange Purple Purple Pink Pink Brown Brown Pink Pink Black Black Brown Brown Orange Orange Black Black Black Black Yellow Yellow Purple Purple Black Black\nOrange Orange Pink Pink Black Black Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Orange Orange Yellow Yellow Pink Pink Brown Brown\nOrange Orange Pink Pink Black Black Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Orange Orange Yellow Yellow Pink Pink Brown Brown\nBlack Black Pink Pink Yellow Yellow Black Black Brown Brown Yellow Yellow Red Red Brown Brown Black Black Orange Orange Orange Orange Black Black Red Red\nBlack Black Pink Pink Yellow Yellow Black Black Brown Brown Yellow Yellow Red Red Brown Brown Black Black Orange Orange Orange Orange Black Black Red Red\nYellow Yellow Black Black Brown Brown Black Black Orange Orange Red Red Brown Brown Brown Brown Black Black Brown Brown Purple Purple Purple Purple Brown Brown\nYellow Yellow Black Black Brown Brown Black Black Orange Orange Red Red Brown Brown Brown Brown Black Black Brown Brown Purple Purple Purple Purple Brown Brown\nBlack Black Purple Purple Black Black Brown Brown Brown Brown Orange Orange Yellow Yellow Black Black Pink Pink Purple Purple Black Black Orange Orange Red Red\nBlack Black Purple Purple Black Black Brown Brown Brown Brown Orange Orange Yellow Yellow Black Black Pink Pink Purple Purple Black Black Orange Orange Red Red\nPink Pink Black Black Yellow Yellow Brown Brown Black Black Red Red Brown Brown Brown Brown Black Black Brown Brown Pink Pink Orange Orange Pink Pink\nPink Pink Black Black Yellow Yellow Brown Brown Black Black Red Red Brown Brown Brown Brown Black Black Brown Brown Pink Pink Orange Orange Pink Pink\nPink Pink Black Black Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Yellow Yellow Brown Brown Black Black Yellow Yellow\nPink Pink Black Black Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Yellow Yellow Brown Brown Black Black Yellow Yellow\nBlack Black Orange Orange Black Black Black Black Pink Pink Yellow Yellow Red Red Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown\nBlack Black Orange Orange Black Black Black Black Pink Pink Yellow Yellow Red Red Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Brown Brown\nPurple Purple Red Red Orange Orange Brown Brown Pink Pink Brown Brown Black Black Yellow Yellow Orange Orange Brown Brown Black Black Black Black Black Black\nPurple Purple Red Red Orange Orange Brown Brown Pink Pink Brown Brown Black Black Yellow Yellow Orange Orange Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Purple Purple Black Black Pink Pink Brown Brown Pink Pink Red Red Yellow Yellow Brown Brown Purple Purple Orange Orange\nBlack Black Black Black Brown Brown Purple Purple Black Black Pink Pink Brown Brown Pink Pink Red Red Yellow Yellow Brown Brown Purple Purple Orange Orange\nYellow Yellow Black Black Pink Pink Purple Purple Purple Purple Black Black Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Yellow Black Black\nYellow Yellow Black Black Pink Pink Purple Purple Purple Purple Black Black Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Yellow Black Black\nYellow Yellow Red Red Brown Brown Brown Brown Orange Orange Brown Brown Orange Orange Brown Brown Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Red Red Brown Brown Brown Brown Orange Orange Brown Brown Orange Orange Brown Brown Yellow Yellow Black Black Yellow Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Green Yellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGreen Green Yellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nGray Gray Purple Purple Green Green Green Green Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nGray Gray Purple Purple Green Green Green Green Yellow Yellow Purple Purple Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green\nBlack Black Gray Gray Gray Gray Green Green Gray Gray Yellow Yellow Yellow Yellow Green Green Green Green Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Green Green Gray Gray Yellow Yellow Yellow Yellow Green Green Green Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Yellow Yellow Green Green Green Green Green Green Gray Gray Green Green Yellow Yellow Green Green Green Green Green Green\nGray Gray Gray Gray Yellow Yellow Green Green Green Green Green Green Gray Gray Green Green Yellow Yellow Green Green Green Green Green Green\nPurple Purple Green Green Green Green Yellow Yellow Green Green Gray Gray Green Green Green Green Green Green Green Green Green Green Yellow Yellow\nPurple Purple Green Green Green Green Yellow Yellow Green Green Gray Gray Green Green Green Green Green Green Green Green Green Green Yellow Yellow\nPurple Purple Gray Gray Purple Purple Green Green Gray Gray Green Green Gray Gray Green Green Green Green Green Green Green Green Yellow Yellow\nPurple Purple Gray Gray Purple Purple Green Green Gray Gray Green Green Gray Gray Green Green Green Green Green Green Green Green Yellow Yellow\nGreen Green Green Green Gray Gray Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Gray Gray Green Green Yellow Yellow Green Green\nGreen Green Green Green Gray Gray Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Gray Gray Green Green Yellow Yellow Green Green\nGray Gray Green Green Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Gray Gray\nGray Gray Green Green Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Gray Gray\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Purple Purple Yellow Yellow Gray Gray Green Green Green Green Gray Gray\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Purple Purple Yellow Yellow Gray Gray Green Green Green Green Gray Gray\nGreen Green Green Green Green Green Purple Purple Yellow Yellow Yellow Yellow Green Green Green Green Gray Gray Green Green Green Green Yellow Yellow\nGreen Green Green Green Green Green Purple Purple Yellow Yellow Yellow Yellow Green Green Green Green Gray Gray Green Green Green Green Yellow Yellow\nPurple Purple Yellow Yellow Green Green Gray Gray Yellow Yellow Green Green Yellow Yellow Green Green Green Green Gray Gray Green Green Gray Gray\nPurple Purple Yellow Yellow Green Green Gray Gray Yellow Yellow Green Green Yellow Yellow Green Green Green Green Gray Gray Green Green Gray Gray\nGreen Green Green Green Yellow Yellow Yellow Yellow Green Green Gray Gray Green Green Green Green Gray Gray Purple Purple Yellow Yellow Black Black\nGreen Green Green Green Yellow Yellow Yellow Yellow Green Green Gray Gray Green Green Green Green Gray Gray Purple Purple Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nGray Gray Red Red Black Black Orange Orange Black Black Gray Gray Red Red Orange Orange Black Black Gray Gray Black Black Red Red Gray Gray Pink Pink\nGray Gray Red Red Black Black Orange Orange Black Black Gray Gray Red Red Orange Orange Black Black Gray Gray Black Black Red Red Gray Gray Pink Pink\nGray Gray Gray Gray Gray Gray Orange Orange Gray Gray Red Red Red Red Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Black Black\nGray Gray Gray Gray Gray Gray Orange Orange Gray Gray Red Red Red Red Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Black Black\nGray Gray Red Red Black Black Gray Gray Red Red Pink Pink Gray Gray Orange Orange Gray Gray Gray Gray Red Red Black Black Gray Gray Pink Pink\nGray Gray Red Red Black Black Gray Gray Red Red Pink Pink Gray Gray Orange Orange Gray Gray Gray Gray Red Red Black Black Gray Gray Pink Pink\nBlack Black Red Red Gray Gray Black Black Pink Pink Gray Gray Black Black Black Black Red Red Red Red Pink Pink Gray Gray Pink Pink Brown Brown\nBlack Black Red Red Gray Gray Black Black Pink Pink Gray Gray Black Black Black Black Red Red Red Red Pink Pink Gray Gray Pink Pink Brown Brown\nGray Gray Gray Gray Pink Pink Gray Gray Red Red Red Red Red Red Gray Gray Black Black Gray Gray Pink Pink Red Red Gray Gray Gray Gray\nGray Gray Gray Gray Pink Pink Gray Gray Red Red Red Red Red Red Gray Gray Black Black Gray Gray Pink Pink Red Red Gray Gray Gray Gray\nGray Gray Red Red Gray Gray Gray Gray Orange Orange Brown Brown Pink Pink Gray Gray Black Black Pink Pink Gray Gray Gray Gray Black Black Black Black\nGray Gray Red Red Gray Gray Gray Gray Orange Orange Brown Brown Pink Pink Gray Gray Black Black Pink Pink Gray Gray Gray Gray Black Black Black Black\nBrown Brown Red Red Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Gray Gray Orange Orange Black Black Black Black\nBrown Brown Red Red Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Gray Gray Orange Orange Black Black Black Black\nRed Red Gray Gray Black Black Red Red Pink Pink Gray Gray Pink Pink Red Red Brown Brown Gray Gray Gray Gray Black Black Brown Brown Gray Gray\nRed Red Gray Gray Black Black Red Red Pink Pink Gray Gray Pink Pink Red Red Brown Brown Gray Gray Gray Gray Black Black Brown Brown Gray Gray\nPink Pink Pink Pink Gray Gray Gray Gray Black Black Gray Gray Pink Pink Black Black Gray Gray Black Black Gray Gray Brown Brown Orange Orange Black Black\nPink Pink Pink Pink Gray Gray Gray Gray Black Black Gray Gray Pink Pink Black Black Gray Gray Black Black Gray Gray Brown Brown Orange Orange Black Black\nGray Gray Pink Pink Orange Orange Brown Brown Gray Gray Brown Brown Brown Brown Red Red Red Red Red Red Black Black Red Red Gray Gray Orange Orange\nGray Gray Pink Pink Orange Orange Brown Brown Gray Gray Brown Brown Brown Brown Red Red Red Red Red Red Black Black Red Red Gray Gray Orange Orange\nGray Gray Black Black Pink Pink Red Red Red Red Pink Pink Pink Pink Black Black Gray Gray Black Black Pink Pink Pink Pink Black Black Gray Gray\nGray Gray Black Black Pink Pink Red Red Red Red Pink Pink Pink Pink Black Black Gray Gray Black Black Pink Pink Pink Pink Black Black Gray Gray\nGray Gray Orange Orange Gray Gray Gray Gray Gray Gray Red Red Pink Pink Pink Pink Red Red Pink Pink Red Red Red Red Gray Gray Gray Gray\nGray Gray Orange Orange Gray Gray Gray Gray Gray Gray Red Red Pink Pink Pink Pink Red Red Pink Pink Red Red Red Red Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Yellow Yellow Black Black Blue Blue Red Red Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Red Red\nBlue Blue Blue Blue Yellow Yellow Black Black Blue Blue Red Red Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Red Red\nGreen Green Black Black Yellow Yellow Red Red Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Red Red Black Black Blue Blue Black Black Black Black\nGreen Green Black Black Yellow Yellow Red Red Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Red Red Black Black Blue Blue Black Black Black Black\nRed Red Black Black Green Green Black Black Green Green Black Black Black Black Green Green Blue Blue Red Red Green Green Yellow Yellow Blue Blue Yellow Yellow\nRed Red Black Black Green Green Black Black Green Green Black Black Black Black Green Green Blue Blue Red Red Green Green Yellow Yellow Blue Blue Yellow Yellow\nYellow Yellow Black Black Black Black Red Red Black Black Yellow Yellow Red Red Black Black Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Red Red Black Black Yellow Yellow Red Red Black Black Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Red Red Yellow Yellow Yellow Yellow Black Black Red Red Yellow Yellow Red Red Green Green Red Red Black Black Black Black\nBlack Black Black Black Yellow Yellow Red Red Yellow Yellow Yellow Yellow Black Black Red Red Yellow Yellow Red Red Green Green Red Red Black Black Black Black\nYellow Yellow Red Red Green Green Green Green Black Black Black Black Yellow Yellow Black Black Green Green Yellow Yellow Yellow Yellow Red Red Blue Blue Red Red\nYellow Yellow Red Red Green Green Green Green Black Black Black Black Yellow Yellow Black Black Green Green Yellow Yellow Yellow Yellow Red Red Blue Blue Red Red\nBlue Blue Black Black Black Black Blue Blue Black Black Blue Blue Red Red Red Red Red Red Green Green Yellow Yellow Black Black Yellow Yellow Blue Blue\nBlue Blue Black Black Black Black Blue Blue Black Black Blue Blue Red Red Red Red Red Red Green Green Yellow Yellow Black Black Yellow Yellow Blue Blue\nBlack Black Red Red Black Black Yellow Yellow Black Black Red Red Yellow Yellow Yellow Yellow Red Red Green Green Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Red Red Black Black Yellow Yellow Black Black Red Red Yellow Yellow Yellow Yellow Red Red Green Green Black Black Blue Blue Black Black Yellow Yellow\nYellow Yellow Black Black Green Green Black Black Black Black Red Red Black Black Blue Blue Red Red Black Black Black Black Yellow Yellow Red Red Yellow Yellow\nYellow Yellow Black Black Green Green Black Black Black Black Red Red Black Black Blue Blue Red Red Black Black Black Black Yellow Yellow Red Red Yellow Yellow\nRed Red Black Black Red Red Black Black Red Red Red Red Green Green Green Green Green Green Black Black Green Green Red Red Yellow Yellow Black Black\nRed Red Black Black Red Red Black Black Red Red Red Red Green Green Green Green Green Green Black Black Green Green Red Red Yellow Yellow Black Black\nRed Red Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Red Red Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Yellow Yellow\nRed Red Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Red Red Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Yellow Yellow\nBlack Black Green Green Black Black Blue Blue Red Red Green Green Green Green Black Black Red Red Red Red Blue Blue Blue Blue Red Red Black Black\nBlack Black Green Green Black Black Blue Blue Red Red Green Green Green Green Black Black Red Red Red Red Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Green Green Blue Blue Green Green Yellow Yellow Red Red Black Black Black Black Red Red Green Green Red Red Black Black\nBlack Black Black Black Black Black Green Green Blue Blue Green Green Yellow Yellow Red Red Black Black Black Black Red Red Green Green Red Red Black Black\nBlack Black Red Red Black Black Green Green Black Black Red Red Red Red Black Black Black Black Green Green Black Black Black Black Blue Blue Blue Blue\nBlack Black Red Red Black Black Green Green Black Black Red Red Red Red Black Black Black Black Green Green Black Black Black Black Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBrown Black Black Brown Brown Black Black Black Black Brown Brown Black Brown Black Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Black Brown Brown Black Black Brown Black Black Brown Brown Black Brown Black Black Brown Black\nBrown Brown Black Black Black Black Brown Black Brown Brown Black Black Brown Brown Black Brown Black Black Brown Brown\nBlack Brown Black Black Brown Black Black Brown Black Black Black Black Black Black Brown Black Brown Black Brown Brown\nBlack Black Brown Black Brown Brown Black Black Brown Brown Brown Black Brown Black Black Black Brown Black Brown Brown\nBlack Brown Brown Brown Brown Black Black Black Brown Black Brown Brown Brown Brown Brown Brown Black Brown Brown Black\nBlack Black Brown Brown Black Black Brown Brown Black Brown Brown Brown Black Brown Brown Brown Black Brown Brown Black\nBrown Black Brown Brown Black Black Brown Black Black Black Black Brown Black Brown Black Black Black Black Black Brown\nBlack Brown Brown Brown Brown Black Brown Brown Black Brown Brown Black Brown Black Brown Brown Brown Black Black Brown\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Black Black Brown Black Black Brown Black Brown Black\nBlack Brown Brown Brown Black Brown Brown Black Black Brown Brown Black Brown Black Black Brown Brown Black Brown Black\nBlack Black Brown Brown Brown Brown Black Brown Black Black Black Black Brown Brown Brown Black Black Brown Brown Brown\nBrown Black Black Black Brown Black Brown Black Brown Brown Black Brown Brown Black Brown Brown Brown Black Black Brown\nBrown Black Brown Brown Brown Brown Brown Black Black Brown Brown Black Brown Black Brown Black Brown Brown Black Brown\nBlack Black Black Black Black Brown Black Black Brown Black Brown Black Brown Black Black Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Black Brown Black Black Black Black Black Brown Brown Black Brown Black Black\nBlack Brown Black Brown Black Brown Brown Black Brown Black Brown Black Black Black Brown Brown Black Brown Black Black\nBrown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Black Black Black Black\nBlack Black Brown Black Black Brown Black Brown Brown Brown Brown Brown Black Black Brown Black Brown Brown Brown Black\nBrown Black Black Black Black Brown Brown Brown Brown Brown Black Black Brown Brown Brown Black Black Brown Black Black\n\nOutput:\nBrown Black Brown Brown Brown Brown Brown Black Black Brown Brown Black Brown Brown Black Brown Brown Brown Brown Brown\nBrown Black Black Brown Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Brown Black Black Brown Black Black Brown Brown Black Brown Black Black Brown Black\nBlack Brown Black Black Black Black Black Black Brown Brown Black Black Brown Black Black Black Black Black Brown Brown\nBlack Brown Black Black Brown Black Black Black Black Black Black Black Black Black Brown Black Brown Black Brown Brown\nBlack Black Brown Black Brown Black Black Black Brown Brown Brown Black Brown Black Black Black Black Black Brown Black\nBlack Black Brown Brown Black Black Black Black Black Black Brown Brown Black Brown Brown Brown Black Brown Brown Black\nBlack Black Brown Brown Black Black Brown Brown Black Brown Brown Brown Black Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Brown Black Black Black Black Black Black Brown Black Black Black Black Black Brown\nBlack Brown Brown Brown Brown Black Brown Brown Black Brown Brown Black Brown Black Black Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Black Black Brown Black Black Brown Black Brown Black\nBlack Black Brown Brown Black Brown Brown Black Black Brown Black Black Brown Black Black Brown Brown Black Brown Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Brown Black Brown Black Black Brown Black Brown\nBrown Black Black Black Brown Black Brown Black Brown Brown Black Black Brown Black Brown Black Brown Black Black Brown\nBlack Black Black Brown Black Brown Black Black Black Black Brown Black Brown Black Brown Black Brown Brown Black Black\nBlack Black Black Black Black Brown Black Black Brown Black Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Black Brown Black Brown Black Black Brown Black Black Black Black Black Brown Brown Black Brown Black Black\nBlack Brown Black Black Black Brown Brown Black Brown Black Brown Black Black Black Brown Brown Black Brown Black Black\nBrown Black Brown Black Black Brown Brown Brown Brown Brown Brown Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Brown Brown Brown Black Black Black Black Brown Black Black Brown Black Black\n\n\nExample 2\nInput:\nBlack Green Green Green Black Black Black Green Green Green Black Black Green Black Black Black Green Green Green Green\nBlack Black Black Green Black Black Green Green Green Green Black Black Black Green Green Green Green Green Green Black\nBlack Green Black Black Black Green Black Green Black Black Green Green Green Black Black Black Green Black Green Green\nBlack Green Black Black Black Green Black Green Black Black Black Black Black Black Black Black Green Black Black Green\nBlack Green Black Black Black Green Green Green Green Green Black Green Black Black Green Green Black Green Black Black\nGreen Green Green Black Green Green Black Green Green Green Black Black Black Black Green Black Green Black Black Green\nGreen Black Black Black Black Black Black Black Green Black Green Black Black Black Green Green Black Black Black Green\nGreen Black Black Black Green Black Green Green Black Black Black Black Black Green Green Black Black Black Green Black\nGreen Green Green Black Black Green Green Black Green Green Green Black Green Green Green Green Green Green Black Green\nBlack Black Black Green Black Green Green Black Black Green Green Green Green Black Black Black Green Green Green Black\nBlack Green Black Green Green Green Green Green Green Black Black Black Green Black Black Green Green Green Black Green\nBlack Green Green Green Green Black Green Black Black Black Black Black Black Black Black Green Black Green Green Green\nGreen Green Black Black Black Green Black Green Black Black Black Green Black Green Green Black Green Green Black Green\nGreen Black Green Green Black Green Black Black Green Green Black Black Green Black Black Green Black Green Black Black\nBlack Black Green Black Black Green Green Black Green Black Black Green Green Green Black Green Green Black Green Black\nBlack Black Black Black Green Green Green Black Green Black Green Green Green Black Black Black Black Black Green Black\nGreen Black Black Green Green Black Green Green Black Black Black Black Green Green Green Black Black Green Black Black\nGreen Black Green Green Black Black Green Green Black Green Green Green Black Green Black Green Green Green Black Green\nBlack Black Green Green Green Black Black Black Black Green Green Green Green Black Black Green Black Green Green Green\nGreen Green Green Green Green Black Green Black Green Green Green Black Black Green Green Green Black Green Green Black\n\nOutput:\nBlack Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Green Green Green Green\nBlack Green Black Green Black Black Black Green Green Green Black Black Green Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Green Black Green Black\nBlack Green Black Black Black Green Black Green Black Black Black Green Black Black Black Black Green Black Black Green\nBlack Green Black Black Black Green Black Green Black Black Black Black Black Black Black Black Green Black Black Green\nBlack Green Black Black Black Green Black Green Green Green Black Black Black Black Green Green Black Black Black Black\nGreen Black Black Black Green Black Black Green Green Black Black Black Black Black Green Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Green Black Green Black Black Black Green Green Black Black Black Green\nGreen Black Black Black Black Black Green Black Black Black Black Black Black Green Green Black Black Black Green Black\nBlack Green Black Black Black Green Green Black Green Green Green Black Green Black Black Green Green Green Black Green\nBlack Black Black Green Black Green Green Black Black Black Black Black Green Black Black Black Green Green Green Black\nBlack Green Black Green Green Green Green Green Black Black Black Black Black Black Black Green Green Green Black Green\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Green Black Green Black Green\nGreen Black Black Black Black Green Black Black Black Black Black Green Black Green Black Black Green Green Black Black\nBlack Black Green Black Black Green Black Black Green Black Black Black Green Black Black Green Black Black Black Black\nBlack Black Black Black Black Green Green Black Green Black Black Green Green Green Black Black Black Black Green Black\nBlack Black Black Black Green Black Green Black Black Black Green Green Green Black Black Black Black Black Black Black\nGreen Black Black Green Green Black Green Green Black Black Black Black Green Green Black Black Black Green Black Black\nGreen Black Green Green Black Black Green Black Black Green Green Green Black Green Black Green Black Green Black Green\nBlack Black Green Green Green Black Black Black Black Green Green Black Black Black Black Green Black Green Green Black\n\n\nExample 3\nInput:\nBlack Gray Black Black Black Black Gray Gray Gray Black Black Black Gray Black Black Black Black Black Black Black\nGray Black Gray Gray Gray Gray Black Gray Black Black Gray Black Gray Gray Gray Gray Black Gray Gray Black\nGray Black Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nGray Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Gray Gray Gray\nBlack Gray Black Black Black Black Black Black Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Black Gray Black Black Gray Black Black Black Black Gray Black Black Gray Gray Black Gray Black\nBlack Black Gray Black Black Gray Black Gray Gray Gray Gray Gray Black Gray Black Black Gray Black Gray Black\nGray Black Gray Gray Gray Gray Black Black Black Gray Black Black Black Gray Gray Black Gray Gray Gray Black\nGray Gray Gray Gray Black Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Gray Black Black Gray\nGray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Black Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Black Black\nGray Black Black Gray Black Black Black Gray Black Black Gray Gray Black Black Black Black Black Black Black Gray\nGray Gray Black Gray Black Gray Black Gray Gray Black Black Gray Black Gray Black Gray Gray Black Gray Black\nGray Black Gray Black Gray Black Black Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Gray Black Gray Black Black Black Black Gray\nBlack Black Black Black Gray Gray Black Black Black Gray Gray Black Gray Black Gray Gray Black Gray Gray Gray\nGray Gray Gray Gray Black Gray Black Gray Black Gray Black Gray Gray Black Black Gray Black Gray Gray Gray\nGray Gray Black Black Black Black Gray Black Gray Black Black Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Gray Black Gray Gray Black Gray Gray Black Gray Gray\nBlack Black Gray Gray Black Gray Black Black Gray Black Black Gray Gray Gray Black Gray Black Black Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black\nGray Black Gray Gray Gray Gray Black Gray Black Black Black Black Gray Gray Black Black Black Gray Gray Black\nGray Black Black Black Gray Gray Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nGray Black Black Black Gray Black Black Gray Black Black Black Black Gray Gray Black Black Black Gray Gray Black\nBlack Gray Black Black Black Black Black Black Gray Black Black Black Black Gray Black Gray Gray Black Gray Black\nGray Black Gray Black Gray Black Black Gray Black Black Black Black Black Black Black Black Gray Black Gray Black\nBlack Black Gray Black Black Gray Black Gray Black Gray Gray Gray Black Gray Black Black Gray Black Gray Black\nGray Black Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Black Gray Gray Gray Black\nGray Gray Gray Black Black Black Gray Gray Black Black Gray Black Gray Gray Gray Black Gray Black Black Gray\nGray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Gray Black Gray Black Gray\nGray Gray Black Black Black Black Black Gray Gray Black Gray Black Black Gray Black Gray Gray Black Black Black\nGray Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black Black Black Black Black Gray\nGray Gray Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Gray Black\nGray Black Gray Black Gray Black Black Gray Black Black Black Black Black Black Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Gray Black Gray Gray Black Gray Black Gray Black Black Black Black Gray\nBlack Black Black Black Black Gray Black Black Black Gray Black Black Gray Black Gray Gray Black Gray Gray Gray\nGray Gray Black Black Black Gray Black Black Black Black Black Gray Gray Black Black Gray Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Gray Black Black Gray Gray Gray Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Gray Gray Black Gray Black Black Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Red Black Red Red Red Black Red Black Red Red Black Red Red Red Red Red\nRed Red Red Black Black Black Black Red Black Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Black Black Red Black Red Red Red Red Red Black Red Red Black Red Red\nBlack Red Red Black Red Red Red Red Black Black Red Black Red Black Red Black Black Black Black Red\nRed Black Red Red Red Red Black Black Black Black Black Red Black Black Red Black Red Black Black Red\nRed Red Red Black Red Black Red Red Black Red Black Red Red Black Red Black Black Red Red Black\nBlack Red Black Black Red Red Black Black Red Black Red Black Red Red Black Black Black Black Black Black\nBlack Black Red Black Red Red Black Black Black Black Black Black Black Black Red Black Red Black Red Red\nRed Black Red Black Red Black Red Black Black Red Black Red Black Red Red Black Red Black Black Black\nBlack Red Red Red Black Black Red Black Red Red Black Black Red Black Red Red Red Black Black Black\nRed Black Red Red Red Red Black Black Red Red Red Black Black Black Red Black Red Red Red Black\nBlack Black Red Red Black Black Red Black Red Black Red Red Red Black Black Red Red Red Black Red\nBlack Black Black Black Red Black Red Red Red Red Red Black Red Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Black Red Black Red Black Black Red Red Red Black Red Red Red Black\nRed Black Black Red Red Black Black Black Black Black Black Black Red Red Red Red Red Black Red Black\nBlack Red Black Black Red Red Red Red Black Black Black Black Black Red Black Black Black Red Red Black\nRed Red Red Black Red Black Black Black Red Red Red Red Black Black Black Red Red Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Red Black Red Red Black Red Black Red Black Red Red Black Red Red Red Black Red\nBlack Black Red Black Black Red Red Black Red Black Black Black Red Black Red Black 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```\nRed Red Red Black Red Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Black Black Red Black Black Red Black Red Red Black Red Red Red Red Red\nBlack Red Red Black Black Black Black Red Black Red Red Red Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Black Black Red Black Black Red Red Red Black Black Black Red Black Black Red\nBlack Red Red Black Red Red Red Red Black Black Black Black Red Black Red Black Black Black Black Red\nRed Black Red Black Red Red Black Black Black Black Black Red Black Black Red Black Black Black Black Black\nBlack Red Red Black Red Black Black Black Black Black Black Black Red Black Red Black Black Black Red Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black\nRed Black Red Black Red Black Red Black Black Red Black Black Black Black Red Black Red Black Black Black\nBlack Black Red Red Black Black Red Black Red Red Black Black Red Black Red Red Red Black Black Black\nBlack Black Red Red Red Black Black Black Red Red Red Black Black Black Red Black Red Red Red Black\nBlack Black Black Red Black Black Red Black Red Black Red Black Red Black Black Red Red Red Black Red\nBlack Black Black Black Red Black Black Red Black Red Black Black Red Black Red Red Red Red Red Black\nBlack Black Black Red Red Red Black Red Black Black Black Black Red Red Red Black Red Red Red Black\nRed Black Black Black Red Black Black Black Black Black Black Black Black Red Black Red Red Black Red Black\nBlack Red Black Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Red Black Red Red Black Black Black Red Red Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Red Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Red Black Black Black Red Black Black Black Black Red Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black 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\nBrown Blue Blue Gray Gray Orange Gray Gray Blue Blue Black\nRed Orange Blue Gray Blue Blue Blue Gray Blue Orange Black\nBlue Yellow Brown Gray Gray Yellow Gray Gray Brown Black Blue\nBlack Brown Black Pink Orange Orange Orange Pink Pink Brown Black\nBlack Black Black Black Purple Pink Purple Black Black Black Black\nBlack Black Black Black Purple Gray Purple Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBrown Blue Blue Gray Gray Orange Gray Gray Blue Blue Brown\nRed Orange Blue Gray Blue Blue Blue Gray Blue Orange Red\nBlue Yellow Brown Gray Gray Yellow Gray Gray Brown Yellow Blue\nBlack Brown Pink Pink Orange Orange Orange Pink Pink Brown Black\nBlack Black Black Black Purple Pink Purple Black Black Black Black\nBlack Black Black Black Purple Gray Purple 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 Black Black Black Black Black Black Black\nOrange Black Green Yellow Blue Black Black Black Blue Yellow Green Orange Orange\nBlack Brown Orange Yellow Yellow Red Black Red Yellow Yellow Orange Brown Gray\nBlack Green Orange Yellow Red Red Black Red Red Yellow Orange Green Black\nRed Orange Black Purple Orange Yellow Pink Yellow Orange Purple Orange Orange Red\nBlack Brown Brown Brown Orange Red Pink Black Orange Brown Brown Brown 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\nOrange Orange Green Yellow Blue Black Black Black Blue Yellow Green Orange Orange\nGray Brown Orange Yellow Yellow Red Black Red Yellow Yellow Orange Brown Gray\nBlack Green Orange Yellow Red Red Black Red Red Yellow Orange Green Black\nRed Orange Orange Purple Orange Yellow Pink Yellow Orange Purple Orange Orange Red\nBlack Brown Brown Brown Orange Red Pink Red Orange Brown Brown Brown Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Brown Black Gray Gray Pink Brown Red Black Black Black\nBlack Black Red Red Orange Orange Orange Orange Orange Orange Black Red Black Black\nBlack Black Blue Blue Gray Green Pink Pink Green Gray Blue Blue Black Black\nBlue Blue Red Pink Red Purple Pink Pink Purple Red Pink Red Blue Black\nBlack Purple Purple Red Red Black Pink Pink Black Red Red Purple Purple 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 Red Brown Pink Gray Gray Pink Brown Red Black Black Black\nBlack Black Red Red Orange Orange Orange Orange Orange Orange Red Red Black Black\nBlack Black Blue Blue Gray Green Pink Pink Green Gray Blue Blue Black Black\nBlue Blue Red Pink Red Purple Pink Pink Purple Red Pink Red Blue Blue\nBlack Purple Purple Red Red Black Pink Pink Black Red Red Purple Purple Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Red Brown Black Blue Blue Pink Black Red Orange Orange\nBrown Orange Orange Blue Yellow Blue Blue Yellow Blue Orange Orange Brown\nRed Orange Blue Green Green Pink Pink Green Green Blue Orange Red\nRed Orange Pink Red Blue Black Gray Blue Red Pink Orange Red\nRed Red Brown Pink Blue Orange Orange Blue Pink Brown Red Red\nRed Red Brown Black Blue Blue Blue Blue Black Brown Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Red Brown Pink Blue Blue Pink Brown Red Orange Orange\nBrown Orange Orange Blue Yellow Blue Blue Yellow Blue Orange Orange Brown\nRed Orange Blue Green Green Pink Pink Green Green Blue Orange Red\nRed Orange Pink Red Blue Gray Gray Blue Red Pink Orange Red\nRed Red Brown Pink Blue Orange Orange Blue Pink Brown Red Red\nRed Red Brown Black Blue Blue Blue Blue Black Brown Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nGray Gray Orange Orange Green Green Brown Brown Black Black Black Black Black Black Black Black\nGray Gray Orange Orange Green Green Brown Brown Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Green Green Brown Brown Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Green Green Brown Brown Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange\nGray Gray Orange Orange Green Green Brown Brown Brown Brown Green Green Orange Orange Gray Gray\nGray Gray Orange Orange Green Green Brown Brown Brown Brown Green Green Orange Orange Gray Gray\nRed Red Yellow Yellow Green Green Brown Brown Brown Brown Green Green Yellow Yellow Red Red\nRed Red Yellow Yellow Green Green Brown Brown Brown Brown Green Green Yellow Yellow Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nRed Red Orange Orange Orange Orange Black Black Black Black Black Black\nRed Red Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nGreen Green Orange Orange Blue Blue Black Black Black Black Black Black\nGreen Green Orange Orange Blue Blue Black Black Black Black Black Black\nPurple Purple Pink Pink Blue Blue Black Black Black Black Black Black\nPurple Purple Pink Pink Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black Black\n\nOutput:\nRed Red Orange Orange Orange Orange Orange Orange Orange Orange Red Red\nRed Red Orange Orange Orange Orange Orange Orange Orange Orange Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Orange Orange Blue Blue Blue Blue Orange Orange Green Green\nGreen Green Orange Orange Blue Blue Blue Blue Orange Orange Green Green\nPurple Purple Pink Pink Blue Blue Blue Blue Pink Pink Purple Purple\nPurple Purple Pink Pink Blue Blue Blue Blue Pink Pink Purple Purple\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nOrange Orange Red Red Red Red Black Black Black Black Black Black\nOrange Orange Red Red Red Red Black Black Black Black Black Black\nPink Pink Gray Gray Purple Purple Black Black Black Black Black Black\nPink Pink Gray Gray Purple Purple Black Black Black Black Black Black\nPink Pink Gray Gray Blue Blue Black Black Black Black Black Black\nPink Pink Gray Gray Blue Blue Black Black Black Black Black Black\nRed Red Orange Orange Red Red Black Black Black Black Black Black\nRed Red Orange Orange Red Red Black Black Black Black Black Black\nRed Red Pink Pink Orange Orange Black Black Black Black Black Black\nRed Red Pink Pink Orange Orange Black Black Black Black Black Black\n\nOutput:\nOrange Orange Red Red Red Red Red Red Red Red Orange Orange\nOrange Orange Red Red Red Red Red Red Red Red Orange Orange\nPink Pink Gray Gray Purple Purple Purple Purple Gray Gray Pink Pink\nPink Pink Gray Gray Purple Purple Purple Purple Gray Gray Pink Pink\nPink Pink Gray Gray Blue Blue Blue Blue Gray Gray Pink Pink\nPink Pink Gray Gray Blue Blue Blue Blue Gray Gray Pink Pink\nRed Red Orange Orange Red Red Red Red Orange Orange Red Red\nRed Red Orange Orange Red Red Red Red Orange Orange Red Red\nRed Red Pink Pink Orange Orange Orange Orange Pink Pink Red Red\nRed Red Pink Pink Orange Orange Orange Orange Pink Pink Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black\nOrange Orange Blue Blue Black Black Black Black\nOrange Orange Blue Blue Black Black Black Black\nBlue Blue Yellow Yellow Black Black Black Black\nBlue Blue Yellow Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Blue Blue Blue Blue Orange Orange\nOrange Orange Blue Blue Blue Blue Orange Orange\nBlue Blue Yellow Yellow Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Yellow Yellow 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black 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\nBlue Blue Blue Black 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\nBlue Blue Blue Black 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\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Gray Gray Gray 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 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 Red Red Red Red Red Red Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange 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 Red Red Red Red Red Red Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray 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\nBlack Black Black Gray 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\nBlack Black Black Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black\nBlack Purple Purple Black\nBlack Purple Purple Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Gray Gray Gray Black\nBlack Gray Pink Gray Black\nBlack Gray Gray Gray Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Pink Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Purple Purple Purple Black\nBlack Purple Brown Purple Black\nBlack Purple Purple Purple Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Purple Brown Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black\nBlack Yellow Black\nBlack Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Black Black Black Black\nBlack Black Purple Brown Black Black Black Black\nBrown Purple Purple Brown Black Black Black Black\nBrown Black Brown Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black\nBrown Purple Purple Brown Black Black Black Black\nBrown Purple Purple Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Black Black Brown Black\nBrown Black Purple Brown Black Purple Brown Purple\nBrown Purple Purple Brown Purple Purple Brown Black\nBrown Black Brown Black Black Brown Black Black\nBrown Brown Brown Brown Brown Black Brown Brown\nBrown Purple Purple Brown Black Purple Brown Black\nBrown Purple Purple Brown Purple Purple Brown Black\nBrown Brown Brown Brown Black Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Yellow Pink Brown Brown Black Black Black Black Black\nPurple Pink Pink Brown Brown Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nPurple Black Pink Black Brown Black Black Black Black Black\nBlack Yellow Pink Brown Brown Black Black Black Black Black\nBlack Yellow Pink Brown Brown Black Black Black Black Black\nPurple Pink Pink Black Brown Black Black Black Black Black\nBlue Blue Gray Brown Black Black Black Black Black Black\nPurple Black Pink Brown Brown Black Black Black Black Black\nBlack Black Pink Brown Brown Black Black Black Black Black\n\nOutput:\nBlack Yellow Pink Brown Brown Black Black Black Black Black\nPurple Pink Pink Brown Brown Black Black Black Black Black\nBlue Blue Gray Brown Black Black Black Black Black Black\nPurple Black Pink Brown Brown Black Black Black Black Black\nBlack Yellow Pink Brown Brown Black Black Black Black Black\nBlack Yellow Pink Brown Brown Black Black Black Black Black\nPurple Pink Pink Brown Brown Black Black Black Black Black\nBlue Blue Gray Brown Black Black Black Black Black Black\nPurple Black Pink Brown Brown Black Black Black Black Black\nBlack Yellow Pink Brown Brown Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Red Red Pink Pink Black Black Black Black Black\nRed Red Red Brown Pink Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Purple Black Orange Orange Black Black Black Black Black\nBlack Purple Blue Purple Black Black Black Black Black Black\nBlack Black Blue Purple Black Black Black Black Black Black\nBlack Purple Green Orange Black Black Black Black Black Black\nBlack Green Blue Gray Pink Black Black Black Black Black\nRed Red Red Brown Black Black Black Black Black Black\nBlack Red Black Pink Black Black Black Black Black Black\n\nOutput:\nBlack Red Red Pink Pink Black Black Black Black Black\nRed Red Red Brown Pink Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Purple Black Orange Orange Black Black Black Black Black\nBlack Purple Blue Purple Black Black Black Black Black Black\nBlack Black Blue Purple Black Black Black Black Black Black\nBlack Purple Green Orange Black Black Black Black Black Black\nBlack Green Blue Gray Pink Black Black Black Black Black\nRed Red Red Brown Black Black Black Black Black Black\nBlack Red Red Pink Pink Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Gray Black Black Black Black\nBlue Black Blue Black Black Black\nPurple Purple Black Black Black Black\nPurple Purple Purple Black Black Black\nBlue Purple Blue Black Black Black\nYellow Gray Yellow Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Gray Yellow Gray Yellow Black\nBlue Black Blue Black Blue Black\nPurple Purple Black Purple Purple Black\nPurple Purple Purple Black Purple Purple\nBlue Purple Blue Black Blue Purple\nYellow Gray Yellow Black Yellow Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Gray Gray Pink Pink Pink Pink Pink Pink Yellow Yellow Brown Brown Orange Orange Orange Orange\nBrown Brown Brown Brown Gray Gray Pink Pink Pink Pink Pink Pink Yellow Yellow Brown Brown Orange Orange Orange Orange\nBrown Brown Gray Gray Orange Orange Purple Purple Purple Purple Orange Orange Green Green Yellow Yellow Green Green Purple Purple\nBrown Brown Gray Gray Orange Orange Purple Purple Purple Purple Orange Orange Green Green Yellow Yellow Green Green Purple Purple\nGray Gray Purple Purple Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Gray Gray Gray Gray\nGray Gray Purple Purple Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Gray Gray Gray Gray\nPink Pink Orange Orange Green Green Orange Orange Green Green Orange Orange Purple Purple Pink Pink Brown Brown Orange Orange\nPink Pink Orange Orange Green Green Orange Orange Green Green Orange Orange Purple Purple Pink Pink Brown Brown Orange Orange\nGray Gray Brown Brown Green Green Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Brown Brown\nGray Gray Brown Brown Green Green Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Brown Brown\nPurple Purple Orange Orange Brown Brown Pink Pink Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nPurple Purple Orange Orange Brown Brown Pink Pink Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nOrange Orange Purple Purple Purple Purple Yellow Yellow Brown Brown Purple Purple Yellow Yellow Red Red Blue Blue Green Green\nOrange Orange Purple Purple Purple Purple Yellow Yellow Brown Brown Purple Purple Yellow Yellow Red Red Blue Blue Green Green\nGray Gray Orange Orange Gray Gray Pink Pink Brown Brown Orange Orange Purple Purple Brown Brown Green Green Brown Brown\nGray Gray Orange Orange Gray Gray Pink Pink Brown Brown Orange Orange Purple Purple Brown Brown Green Green Brown Brown\nGreen Green Purple Purple Yellow Yellow Orange Orange Gray Gray Brown Brown Purple Purple Gray Gray Brown Brown Green Green\nGreen Green Purple Purple Yellow Yellow Orange Orange Gray Gray Brown Brown Purple Purple Gray Gray Brown Brown Green Green\nBrown Brown Purple Purple Pink Pink Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Brown Brown Gray Gray\nBrown Brown Purple Purple Pink Pink Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Brown Brown Gray Gray\n\nOutput:\nBrown Brown Brown Brown Gray Gray Pink Pink Pink Pink Pink Pink Yellow Yellow Brown Brown Orange Orange Orange Orange\nBrown Brown Brown Brown Gray Gray Pink Pink Pink Pink Pink Pink Yellow Yellow Brown Brown Orange Orange Orange Orange\nBrown Brown Gray Gray Orange Orange Purple Purple Purple Purple Orange Orange Green Green Yellow Yellow Green Green Purple Purple\nBrown Brown Gray Gray Orange Orange Purple Purple Purple Purple Orange Orange Green Green Yellow Yellow Green Green Purple Purple\nGray Gray Purple Purple Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Gray Gray Gray Gray\nGray Gray Purple Purple Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Yellow Yellow Gray Gray Gray Gray\nPink Pink Orange Orange Green Green Orange Orange Green Green Orange Orange Purple Purple Pink Pink Brown Brown Orange Orange\nPink Pink Orange Orange Green Green Orange Orange Green Green Orange Orange Purple Purple Pink Pink Brown Brown Orange Orange\nGray Gray Brown Brown Green Green Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Brown Brown\nGray Gray Brown Brown Green Green Purple Purple Gray Gray Gray Gray Gray Gray Brown Brown Gray Gray Brown Brown\nPurple Purple Orange Orange Brown Brown Pink Pink Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nPurple Purple Orange Orange Brown Brown Pink Pink Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nOrange Orange Purple Purple Purple Purple Yellow Yellow Brown Brown Red Red Red Red Gray Gray Gray Gray Blue Blue\nOrange Orange Purple Purple Purple Purple Yellow Yellow Brown Brown Red Red Red Red Gray Gray Gray Gray Blue Blue\nGray Gray Orange Orange Gray Gray Pink Pink Brown Brown Orange Orange Purple Purple Brown Brown Green Green Brown Brown\nGray Gray Orange Orange Gray Gray Pink Pink Brown Brown Orange Orange Purple Purple Brown Brown Green Green Brown Brown\nGreen Green Purple Purple Yellow Yellow Orange Orange Gray Gray Brown Brown Purple Purple Gray Gray Brown Brown Green Green\nGreen Green Purple Purple Yellow Yellow Orange Orange Gray Gray Brown Brown Purple Purple Gray Gray Brown Brown Green Green\nBrown Brown Purple Purple Pink Pink Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Brown Brown Gray Gray\nBrown Brown Purple Purple Pink Pink Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Brown Brown Gray Gray\n\n\nExample 2\nInput:\nOrange Orange Brown Brown Purple Purple Brown Brown Gray Gray Brown Brown Green Green Green Green Orange Orange Yellow Yellow\nOrange Orange Brown Brown Purple Purple Brown Brown Gray Gray Brown Brown Green Green Green Green Orange Orange Yellow Yellow\nYellow Yellow Purple Purple Brown Brown Brown Brown Orange Orange Brown Brown Pink Pink Yellow Yellow Green Green Orange Orange\nYellow Yellow Purple Purple Brown Brown Brown Brown Orange Orange Brown Brown Pink Pink Yellow Yellow Green Green Orange Orange\nYellow Yellow Orange Orange Pink Pink Yellow Yellow Purple Purple Gray Gray Pink Pink Purple Purple Brown Brown Brown Brown\nYellow Yellow Orange Orange Pink Pink Yellow Yellow Purple Purple Gray Gray Pink Pink Purple Purple Brown Brown Brown Brown\nPurple Purple Pink Pink Green Green Yellow Yellow Orange Orange Purple Purple Purple Purple Pink Pink Brown Brown Orange Orange\nPurple Purple Pink Pink Green Green Yellow Yellow Orange Orange Purple Purple Purple Purple Pink Pink Brown Brown Orange Orange\nOrange Orange Pink Pink Green Green Brown Brown Purple Purple Brown Brown Pink Pink Green Green Gray Gray Yellow Yellow\nOrange Orange Pink Pink Green Green Brown Brown Purple Purple Brown Brown Pink Pink Green Green Gray Gray Yellow Yellow\nGray Gray Yellow Yellow Pink Pink Brown Brown Gray Gray Gray Gray Pink Pink Brown Brown Purple Purple Pink Pink\nGray Gray Yellow Yellow Pink Pink Brown Brown Gray Gray Gray Gray Pink Pink Brown Brown Purple Purple Pink Pink\nPink Pink Green Green Purple Purple Brown Brown Green Green Brown Brown Green Green Purple Purple Gray Gray Gray Gray\nPink Pink Green Green Purple Purple Brown Brown Green Green Brown Brown Green Green Purple Purple Gray Gray Gray Gray\nGreen Green Orange Orange Green Green Gray Gray Brown Brown Red Red Blue Blue Orange Orange Green Green Pink Pink\nGreen Green Orange Orange Green Green Gray Gray Brown Brown Red Red Blue Blue Orange Orange Green Green Pink Pink\nOrange Orange Yellow Yellow Orange Orange Brown Brown Yellow Yellow Green Green Purple Purple Yellow Yellow Green Green Orange Orange\nOrange Orange Yellow Yellow Orange Orange Brown Brown Yellow Yellow Green Green Purple Purple Yellow Yellow Green Green Orange Orange\nBrown Brown Gray Gray Pink Pink Green Green Pink Pink Gray Gray Yellow Yellow Gray Gray Purple Purple Green Green\nBrown Brown Gray Gray Pink Pink Green Green Pink Pink Gray Gray Yellow Yellow Gray Gray Purple Purple Green Green\n\nOutput:\nOrange Orange Brown Brown Purple Purple Brown Brown Gray Gray Brown Brown Green Green Green Green Orange Orange Yellow Yellow\nOrange Orange Brown Brown Purple Purple Brown Brown Gray Gray Brown Brown Green Green Green Green Orange Orange Yellow Yellow\nYellow Yellow Purple Purple Brown Brown Brown Brown Orange Orange Brown Brown Pink Pink Yellow Yellow Green Green Orange Orange\nYellow Yellow Purple Purple Brown Brown Brown Brown Orange Orange Brown Brown Pink Pink Yellow Yellow Green Green Orange Orange\nYellow Yellow Orange Orange Pink Pink Yellow Yellow Purple Purple Gray Gray Pink Pink Purple Purple Brown Brown Brown Brown\nYellow Yellow Orange Orange Pink Pink Yellow Yellow Purple Purple Gray Gray Pink Pink Purple Purple Brown Brown Brown Brown\nPurple Purple Pink Pink Green Green Yellow Yellow Orange Orange Purple Purple Purple Purple Pink Pink Brown Brown Orange Orange\nPurple Purple Pink Pink Green Green Yellow Yellow Orange Orange Purple Purple Purple Purple Pink Pink Brown Brown Orange Orange\nOrange Orange Pink Pink Green Green Brown Brown Purple Purple Brown Brown Pink Pink Green Green Gray Gray Yellow Yellow\nOrange Orange Pink Pink Green Green Brown Brown Purple Purple Brown Brown Pink Pink Green Green Gray Gray Yellow Yellow\nGray Gray Yellow Yellow Pink Pink Brown Brown Gray Gray Gray Gray Pink Pink Brown Brown Purple Purple Pink Pink\nGray Gray Yellow Yellow Pink Pink Brown Brown Gray Gray Gray Gray Pink Pink Brown Brown Purple Purple Pink Pink\nPink Pink Green Green Purple Purple Brown Brown Green Green Brown Brown Green Green Purple Purple Gray Gray Gray Gray\nPink Pink Green Green Purple Purple Brown Brown Green Green Brown Brown Green Green Purple Purple Gray Gray Gray Gray\nGreen Green Orange Orange Green Green Red Red Red Red Gray Gray Gray Gray Blue Blue Blue Blue Pink Pink\nGreen Green Orange Orange Green Green Red Red Red Red Gray Gray Gray Gray Blue Blue Blue Blue Pink Pink\nOrange Orange Yellow Yellow Orange Orange Brown Brown Yellow Yellow Green Green Purple Purple Yellow Yellow Green Green Orange Orange\nOrange Orange Yellow Yellow Orange Orange Brown Brown Yellow Yellow Green Green Purple Purple Yellow Yellow Green Green Orange Orange\nBrown Brown Gray Gray Pink Pink Green Green Pink Pink Gray Gray Yellow Yellow Gray Gray Purple Purple Green Green\nBrown Brown Gray Gray Pink Pink Green Green Pink Pink Gray Gray Yellow Yellow Gray Gray Purple Purple Green Green\n\n\nExample 3\nInput:\nYellow Yellow Pink Pink Green Green Orange Orange Brown Brown Brown Brown Pink Pink Green Green Pink Pink Green Green\nYellow Yellow Pink Pink Green Green Orange Orange Brown Brown Brown Brown Pink Pink Green Green Pink Pink Green Green\nGray Gray Orange Orange Orange Orange Green Green Gray Gray Purple Purple Pink Pink Gray Gray Green Green Pink Pink\nGray Gray Orange Orange Orange Orange Green Green Gray Gray Purple Purple Pink Pink Gray Gray Green Green Pink Pink\nGreen Green Orange Orange Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Yellow Yellow Green Green Gray Gray\nGreen Green Orange Orange Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Yellow Yellow Green Green Gray Gray\nPurple Purple Green Green Orange Orange Purple Purple Gray Gray Orange Orange Yellow Yellow Brown Brown Green Green Pink Pink\nPurple Purple Green Green Orange Orange Purple Purple Gray Gray Orange Orange Yellow Yellow Brown Brown Green Green Pink Pink\nPurple Purple Brown Brown Orange Orange Yellow Yellow Green Green Orange Orange Pink Pink Green Green Purple Purple Gray Gray\nPurple Purple Brown Brown Orange Orange Yellow Yellow Green Green Orange Orange Pink Pink Green Green Purple Purple Gray Gray\nPurple Purple Pink Pink Yellow Yellow Yellow Yellow Brown Brown Purple Purple Brown Brown Orange Orange Purple Purple Pink Pink\nPurple Purple Pink Pink Yellow Yellow Yellow Yellow Brown Brown Purple Purple Brown Brown Orange Orange Purple Purple Pink Pink\nGreen Green Purple Purple Green Green Gray Gray Brown Brown Pink Pink Orange Orange Yellow Yellow Pink Pink Purple Purple\nGreen Green Purple Purple Green Green Gray Gray Brown Brown Pink Pink Orange Orange Yellow Yellow Pink Pink Purple Purple\nPurple Purple Pink Pink Brown Brown Gray Gray Gray Gray Orange Orange Red Red Blue Blue Gray Gray Green Green\nPurple Purple Pink Pink Brown Brown Gray Gray Gray Gray Orange Orange Red Red Blue Blue Gray Gray Green Green\nGray Gray Green Green Brown Brown Purple Purple Brown Brown Orange Orange Purple Purple Yellow Yellow Yellow Yellow Green Green\nGray Gray Green Green Brown Brown Purple Purple Brown Brown Orange Orange Purple Purple Yellow Yellow Yellow Yellow Green Green\nOrange Orange Green Green Pink Pink Pink Pink Gray Gray Purple Purple Yellow Yellow Purple Purple Yellow Yellow Orange Orange\nOrange Orange Green Green Pink Pink Pink Pink Gray Gray Purple Purple Yellow Yellow Purple Purple Yellow Yellow Orange Orange\n\nOutput:\nYellow Yellow Pink Pink Green Green Orange Orange Brown Brown Brown Brown Pink Pink Green Green Pink Pink Green Green\nYellow Yellow Pink Pink Green Green Orange Orange Brown Brown Brown Brown Pink Pink Green Green Pink Pink Green Green\nGray Gray Orange Orange Orange Orange Green Green Gray Gray Purple Purple Pink Pink Gray Gray Green Green Pink Pink\nGray Gray Orange Orange Orange Orange Green Green Gray Gray Purple Purple Pink Pink Gray Gray Green Green Pink Pink\nGreen Green Orange Orange Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Yellow Yellow Green Green Gray Gray\nGreen Green Orange Orange Yellow Yellow Orange Orange Brown Brown Purple Purple Brown Brown Yellow Yellow Green Green Gray Gray\nPurple Purple Green Green Orange Orange Purple Purple Gray Gray Orange Orange Yellow Yellow Brown Brown Green Green Pink Pink\nPurple Purple Green Green Orange Orange Purple Purple Gray Gray Orange Orange Yellow Yellow Brown Brown Green Green Pink Pink\nPurple Purple Brown Brown Orange Orange Yellow Yellow Green Green Orange Orange Pink Pink Green Green Purple Purple Gray Gray\nPurple Purple Brown Brown Orange Orange Yellow Yellow Green Green Orange Orange Pink Pink Green Green Purple Purple Gray Gray\nPurple Purple Pink Pink Yellow Yellow Yellow Yellow Brown Brown Purple Purple Brown Brown Orange Orange Purple Purple Pink Pink\nPurple Purple Pink Pink Yellow Yellow Yellow Yellow Brown Brown Purple Purple Brown Brown Orange Orange Purple Purple Pink Pink\nGreen Green Purple Purple Green Green Gray Gray Brown Brown Pink Pink Orange Orange Yellow Yellow Pink Pink Purple Purple\nGreen Green Purple Purple Green Green Gray Gray Brown Brown Pink Pink Orange Orange Yellow Yellow Pink Pink Purple Purple\nPurple Purple Pink Pink Brown Brown Gray Gray Red Red Red Red Gray Gray Gray Gray Blue Blue Blue Blue\nPurple Purple Pink Pink Brown Brown Gray Gray Red Red Red Red Gray Gray Gray Gray Blue Blue Blue Blue\nGray Gray Green Green Brown Brown Purple Purple Brown Brown Orange Orange Purple Purple Yellow Yellow Yellow Yellow Green Green\nGray Gray Green Green Brown Brown Purple Purple Brown Brown Orange Orange Purple Purple Yellow Yellow Yellow Yellow Green Green\nOrange Orange Green Green Pink Pink Pink Pink Gray Gray Purple Purple Yellow Yellow Purple Purple Yellow Yellow Orange Orange\nOrange Orange Green Green Pink Pink Pink Pink Gray Gray Purple Purple Yellow Yellow Purple Purple Yellow Yellow Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Pink Pink Brown Brown Gray Gray Orange Orange Brown Brown Green Green Orange Orange Brown Brown\nYellow Yellow Yellow Yellow Pink Pink Brown Brown Gray Gray Orange Orange Brown Brown Green Green Orange Orange Brown Brown\nPink Pink Green Green Orange Orange Pink Pink Orange Orange Orange Orange Yellow Yellow Gray Gray Yellow Yellow Green Green\nPink Pink Green Green Orange Orange Pink Pink Orange Orange Orange Orange Yellow Yellow Gray Gray Yellow Yellow Green Green\nYellow Yellow Green Green Brown Brown Green Green Purple Purple Purple Purple Pink Pink Green Green Purple Purple Orange Orange\nYellow Yellow Green Green Brown Brown Green Green Purple Purple Purple Purple Pink Pink Green Green Purple Purple Orange Orange\nGray Gray Green Green Gray Gray Brown Brown Pink Pink Green Green Gray Gray Yellow Yellow Pink Pink Yellow Yellow\nGray Gray Green Green Gray Gray Brown Brown Pink Pink Green Green Gray Gray Yellow Yellow Pink Pink Yellow Yellow\nPink Pink Brown Brown Gray Gray Orange Orange Brown Brown Yellow Yellow Purple Purple Orange Orange Gray Gray Orange Orange\nPink Pink Brown Brown Gray Gray Orange Orange Brown Brown Yellow Yellow Purple Purple Orange Orange Gray Gray Orange Orange\nPurple Purple Yellow Yellow Yellow Yellow Green Green Red Red Blue Blue Yellow Yellow Brown Brown Green Green Brown Brown\nPurple Purple Yellow Yellow Yellow Yellow Green Green Red Red Blue Blue Yellow Yellow Brown Brown Green Green Brown Brown\nBrown Brown Brown Brown Purple Purple Yellow Yellow Pink Pink Orange Orange Green Green Yellow Yellow Orange Orange Purple Purple\nBrown Brown Brown Brown Purple Purple Yellow Yellow Pink Pink Orange Orange Green Green Yellow Yellow Orange Orange Purple Purple\nGreen Green Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Green Green Gray Gray Pink Pink Green Green\nGreen Green Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Green Green Gray Gray Pink Pink Green Green\nGray Gray Green Green Green Green Purple Purple Orange Orange Purple Purple Orange Orange Purple Purple Green Green Pink Pink\nGray Gray Green Green Green Green Purple Purple Orange Orange Purple Purple Orange Orange Purple Purple Green Green Pink Pink\nPurple Purple Purple Purple Orange Orange Yellow Yellow Orange Orange Gray Gray Purple Purple Green Green Orange Orange Pink Pink\nPurple Purple Purple Purple Orange Orange Yellow Yellow Orange Orange Gray Gray Purple Purple Green Green Orange Orange 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 Pink Pink Brown Brown Gray Gray Orange Orange Brown Brown Green Green Orange Orange Brown Brown\nYellow Yellow Yellow Yellow Pink Pink Brown Brown Gray Gray Orange Orange Brown Brown Green Green Orange Orange Brown Brown\nPink Pink Green Green Orange Orange Pink Pink Orange Orange Orange Orange Yellow Yellow Gray Gray Yellow Yellow Green Green\nPink Pink Green Green Orange Orange Pink Pink Orange Orange Orange Orange Yellow Yellow Gray Gray Yellow Yellow Green Green\nYellow Yellow Green Green Brown Brown Green Green Purple Purple Purple Purple Pink Pink Green Green Purple Purple Orange Orange\nYellow Yellow Green Green Brown Brown Green Green Purple Purple Purple Purple Pink Pink Green Green Purple Purple Orange Orange\nGray Gray Green Green Gray Gray Brown Brown Pink Pink Green Green Gray Gray Yellow Yellow Pink Pink Yellow Yellow\nGray Gray Green Green Gray Gray Brown Brown Pink Pink Green Green Gray Gray Yellow Yellow Pink Pink Yellow Yellow\nPink Pink Brown Brown Gray Gray Orange Orange Brown Brown Yellow Yellow Purple Purple Orange Orange Gray Gray Orange Orange\nPink Pink Brown Brown Gray Gray Orange Orange Brown Brown Yellow Yellow Purple Purple Orange Orange Gray Gray Orange Orange\nPurple Purple Yellow Yellow Red Red Red Red Gray Gray Gray Gray Blue Blue Blue Blue Green Green Brown Brown\nPurple Purple Yellow Yellow Red Red Red Red Gray Gray Gray Gray Blue Blue Blue Blue Green Green Brown Brown\nBrown Brown Brown Brown Purple Purple Yellow Yellow Pink Pink Orange Orange Green Green Yellow Yellow Orange Orange Purple Purple\nBrown Brown Brown Brown Purple Purple Yellow Yellow Pink Pink Orange Orange Green Green Yellow Yellow Orange Orange Purple Purple\nGreen Green Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Green Green Gray Gray Pink Pink Green Green\nGreen Green Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Green Green Gray Gray Pink Pink Green Green\nGray Gray Green Green Green Green Purple Purple Orange Orange Purple Purple Orange Orange Purple Purple Green Green Pink Pink\nGray Gray Green Green Green Green Purple Purple Orange Orange Purple Purple Orange Orange Purple Purple Green Green Pink Pink\nPurple Purple Purple Purple Orange Orange Yellow Yellow Orange Orange Gray Gray Purple Purple Green Green Orange Orange Pink Pink\nPurple Purple Purple Purple Orange Orange Yellow Yellow Orange Orange Gray Gray Purple Purple Green Green Orange Orange Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Blue Black Black Black\nBlack Yellow Black Black Black Black Black Gray Black Blue\nBlack Black Black Brown Yellow Purple Purple Black Red Black\nBlack Black Gray Black Black Black Gray Black Black Brown\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Yellow Brown Black Blue Brown Gray Black Black Black\nBlack Black Black Blue Black Black Black Brown Blue Blue\nBlack Blue Purple Black Black Yellow Yellow Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Blue Black Black Black\nBlack Yellow Black Black Black Black Black Red Red Red\nBlack Black Black Brown Yellow Purple Purple Red Black Red\nBlack Black Gray Black Black Black Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Yellow Brown Black Blue Brown Gray Black Black Black\nBlack Black Black Blue Black Black Black Brown Blue Blue\nBlack Blue Purple Black Black Yellow Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Pink Black Purple Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nPink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\n\nOutput:\nBlack Black Red Black Red Black Black Black Black Black\nBlack Black Red Red Red Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Pink Black Purple Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nPink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\n\n\nExample 3\nInput:\nBlack Black Green Black Black Yellow Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Green Black Black Blue Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Gray Black Gray Black Black Black Black\nBlack Gray Black Black Black Black Black Black Green Green\nBlack Blue Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Blue\nBlack Green Black Yellow Black Pink Black Black Green Black\nBlack Black Green Black Gray Pink Black Yellow Pink Black\n\nOutput:\nBlack Black Green Black Black Yellow Pink Black Red Red\nBlack Black Black Black Black Black Black Black Red Black\nBlack Green Black Black Blue Black Black Black Red Red\nPink Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Gray Black Gray Black Black Black Black\nBlack Gray Black Black Black Black Black Black Green Green\nBlack Blue Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Blue\nBlack Green Black Yellow Black Pink Black Black Green Black\nBlack Black Green Black Gray Pink Black Yellow Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Brown Black Black Black Red Black Black Brown\nBlack Black Gray Black Black Black Black Blue Black Black\nBlue Black Black Black Black Black Blue Black Red Blue\nBlack Purple Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Gray Brown Black Black\nBlack Gray Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Red Purple Black Black\nBlack Black Black Gray Black Black Gray Black Blue Black\nBlack Black Red Purple Black Black Black Purple Gray 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```\nGray Black Brown Black Black Red Black Red Black Brown\nBlack Black Gray Black Black Red Red Red Red Red\nBlue Black Black Black Black Black Blue Red Black Red\nBlack Purple Gray Black Gray Black Black Red Red Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Red Red Red Brown Black Black\nBlack Gray Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Red Black Black\nBlack Red Red Red Black Red Red Red Blue Black\nBlack Red Black Red Black Black Black Purple Gray Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Green Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Black Green Green Green Green Green Green Green Green Black Red Red Black Black Black\nBlack Black Black Red Black Green Green Black Black Black Blue Black Black Green Green Black Red Black Black Black\nBlack Black Red Red Green Green Black Blue Blue Blue Blue Blue Blue Black Green Green Red Red Black Black\nBlack Black Red Black Green Black Blue Blue Black Black Gray Black Blue Blue Black Green Black Red Black Black\nBlack Black Red Black Green Black Blue Black Gray Gray Gray Gray Black Blue Black Green Black Red Black Black\nBlack Black Red Black Green Black Blue Black Gray Black Black Gray Gray Blue Blue Green Green Red Red Black\nBlack Black Red Black Green Black Blue Black Gray Black Black Gray Black Blue Black Green Black Red Black Black\nBlack Black Red Black Green Black Blue Black Gray Gray Gray Gray Black Blue Black Green Black Red Black Black\nBlack Black Red Black Green Black Blue Blue Black Black Black Black Blue Blue Black Green Black Red Black Black\nBlack Black Red Red Green Green Black Blue Blue Blue Blue Blue Blue Black Green Green Red Red Black Black\nBlack Black Black Red Black Green Green Black Black Black Black Black Black Green Green Black Red Black Black Black\nBlack Black Black Red Red Black Green Green Green Green Green Green Green Green Black Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Red Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Red Red Red Green Green Green Green Green Green Red Red Red Green Green Green Green\nGreen Green Green Red Red Green Green Green Green Green Green Green Green Green Green Red Red Green Green Green\nGreen Green Green Red Green Green Green Green Green Green Green Green Green Green Green Green Red Green Green Green\nGreen Green Red Red Green Green Green Green Green Green Green Green Green Green Green Green Red Red Green Green\nGreen Green Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Green Green\nGreen Green Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Green Green\nGreen Green Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Green\nGreen Green Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Green Green\nGreen Green Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Green Green\nGreen Green Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Green Green\nGreen Green Red Red Green Green Green Green Green Green Green Green Green Green Green Green Red Red Green Green\nGreen Green Green Red Green Green Green Green Green Green Green Green Green Green Green Green Red Green Green Green\nGreen Green Green Red Red Green Green Green Green Green Green Green Green Green Green Red Red Green Green Green\nGreen Green Green Green Red Red Red Green Green Green Green Green Green Red Red Red Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Brown Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Blue Blue Black Black\nBlack Black Blue Black Brown Brown Brown Black Black Black Purple Black Black Brown Brown Brown Black Blue Black Black\nBlack Blue Black Brown Brown Black Purple Purple Purple Purple Purple Purple Purple Purple Black Brown Brown Black Blue Black\nBlue Blue Black Brown Black Purple Purple Black Black Black Red Black Black Purple Purple Black Brown Black Blue Blue\nBlue Black Brown Brown Purple Purple Black Red Red Red Red Red Red Black Purple Purple Brown Brown Black Blue\nBlue Black Brown Black Purple Black Red Red Black Black Gray Black Red Red Black Purple Black Brown Black Blue\nBlue Black Brown Black Purple Black Red Black Gray Gray Gray Gray Black Red Black Purple Black Brown Black Blue\nBlue Black Brown Black Purple Black Red Black Gray Black Black Gray Gray Red Red Purple Purple Brown Brown Blue\nBlue Black Brown Black Purple Black Red Black Gray Black Black Gray Black Red Black Purple Black Brown Black Blue\nBlue Black Brown Black Purple Black Red Black Gray Gray Gray Gray Black Red Black Purple Black Brown Black Blue\nBlue Black Brown Black Purple Black Red Red Black Black Black Black Red Red Black Purple Black Brown Black Blue\nBlue Black Brown Brown Purple Purple Black Red Red Red Red Red Red Black Purple Purple Brown Brown Black Blue\nBlue Blue Black Brown Black Purple Purple Black Black Black Black Black Black Purple Purple Black Brown Black Blue Blue\nBlack Blue Black Brown Brown Black Purple Purple Purple Purple Purple Purple Purple Purple Black Brown Brown Black Blue Black\nBlack Black Blue Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Blue Black Black\nBlack Black Blue Blue Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nGreen Green Green Green Blue Blue Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green\nGreen Green Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green\nGreen Green Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Green Green\nGreen Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Green\nBlue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue\nGreen Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Green\nGreen Green Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Green Green\nGreen Green Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green\nGreen Green Green Green Blue Blue Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Purple Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Pink Pink Black Black\nBlack Black Pink Black Purple Purple Purple Black Black Black Green Black Black Purple Purple Purple Black Pink Black Black\nBlack Pink Black Purple Purple Black Green Green Green Green Green Green Green Green Black Purple Purple Black Pink Black\nPink Pink Black Purple Black Green Green Black Black Black Red Black Black Green Green Black Purple Black Pink Pink\nPink Black Purple Purple Green Green Black Red Red Red Red Red Red Black Green Green Purple Purple Black Pink\nPink Black Purple Black Green Black Red Red Black Black Brown Black Red Red Black Green Black Purple Black Pink\nPink Black Purple Black Green Black Red Black Brown Brown Brown Brown Black Red Black Green Black Purple Black Pink\nPink Black Purple Black Green Black Red Black Brown Black Black Brown Brown Red Red Green Green Purple Purple Pink\nPink Black Purple Black Green Black Red Black Brown Black Black Brown Black Red Black Green Black Purple Black Pink\nPink Black Purple Black Green Black Red Black Brown Brown Brown Brown Black Red Black Green Black Purple Black Pink\nPink Black Purple Black Green Black Red Red Black Black Black Black Red Red Black Green Black Purple Black Pink\nPink Black Purple Purple Green Green Black Red Red Red Red Red Red Black Green Green Purple Purple Black Pink\nPink Pink Black Purple Black Green Green Black Black Black Black Black Black Green Green Black Purple Black Pink Pink\nBlack Pink Black Purple Purple Black Green Green Green Green Green Green Green Green Black Purple Purple Black Pink Black\nBlack Black Pink Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Pink Black Black\nBlack Black Pink Pink Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green\nGreen Green Green Green Pink Pink Green Green Green Green Green Green Green Green Pink Pink Green Green Green Green\nGreen Green Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Green Green\nGreen Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green\nGreen Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink\nPink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink\nPink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink\nPink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink\nPink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink\nPink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink\nPink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink\nPink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink\nPink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink\nGreen Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green\nGreen Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green\nGreen Green Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Green Green\nGreen Green Green Green Pink Pink Green Green Green Green Green Green Green Green Pink Pink Green Green Green Green\nGreen Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Orange Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Black Orange Orange Orange Orange Orange Orange Black Green Green Black Black Black Black\nBlack Black Black Black Green Black Orange Orange Black Black Yellow Black Orange Orange Black Green Black Black Black Black\nBlack Black Black Black Green Black Orange Black Yellow Yellow Yellow Yellow Black Orange Black Green Black Black Black Black\nBlack Black Black Black Green Black Orange Black Yellow Black Black Yellow Yellow Orange Orange Green Green Black Black Black\nBlack Black Black Black Green Black Orange Black Yellow Black Black Yellow Black Orange Black Green Black Black Black Black\nBlack Black Black Black Green Black Orange Black Yellow Yellow Yellow Yellow Black Orange Black Green Black Black Black Black\nBlack Black Black Black Green Black Orange Orange Black Black Black Black Orange Orange Black Green Black Black Black Black\nBlack Black Black Black Green Green Black Orange Orange Orange Orange Orange Orange Black Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Orange Orange\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Orange Orange Black Black Purple Purple Black Black Black Black Black Black Black\nGray Gray Orange Orange Black Black Yellow Purple Black Black Black Black Black Black Black\nBlack Gray Orange Orange Black Black Purple Purple Black Black Black Black Black Black Black\nGray Gray Orange Orange Black Black Yellow Purple Black Black Black Black Black Black Black\nGray Gray Orange Orange Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Purple Purple Black Black Black Black Gray Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Green Pink Pink Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Pink Black Green Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Pink Green Pink Green Pink Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Red Black Black\nBlack Black Black Black Black Black Pink Black Black Purple Black Black Black Black\nBlack Black Black Black Black Pink Pink Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Pink Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black\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\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\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 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 Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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 Green Green Green Green Green Black\nBlack Black Black Black Black Black Green Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Gray Gray Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Gray Gray Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Gray Gray Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Gray Gray Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Gray Gray Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Gray Gray Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Gray Gray Gray Gray Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Red Red Gray Gray Gray Gray Red Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Pink Pink Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Red Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Red Red Pink Pink Red Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red Red Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Pink Yellow Black Black Black Black\nBlack Black Black Blue Brown Purple Black Black Black Black\nBlack Black Black Gray Red Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Yellow Black Pink Yellow Black Pink Yellow Black Pink Yellow Black Pink Yellow Black\nBrown Purple Black Brown Purple Black Brown Purple Black Brown Purple Black Brown Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Yellow Black Pink Yellow Black Pink Yellow Black Pink Yellow Black Pink Yellow Black\nBrown Purple Black Brown Purple Black Brown Purple Black Brown Purple Black Brown Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Yellow Black Pink Yellow Black Pink Yellow Black Pink Yellow Black Pink Yellow Black\nBrown Purple Black Brown Purple Black Brown Purple Black Brown Purple Black Brown Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Yellow Black Pink Yellow Black Pink Yellow Black Pink Yellow Black Pink Yellow Black\nBrown Purple Black Brown Purple Black Brown Purple Black Brown Purple Black Brown Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Yellow Black Pink Yellow Black Pink Yellow Black Pink Yellow Black Pink Yellow Black\nBrown Purple Black Brown Purple Black Brown Purple Black Brown Purple Black Brown Purple 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 Purple Brown Green Black Black Black Black\nBlack Black Black Red Yellow Pink Black Black Black Black\nBlack Black Black Gray Blue Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Green Black Brown Green Black Brown Green Black Brown Green Black Brown Green Black\nYellow Pink Black Yellow Pink Black Yellow Pink Black Yellow Pink Black Yellow Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Green Black Brown Green Black Brown Green Black Brown Green Black Brown Green Black\nYellow Pink Black Yellow Pink Black Yellow Pink Black Yellow Pink Black Yellow Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Green Black Brown Green Black Brown Green Black Brown Green Black Brown Green Black\nYellow Pink Black Yellow Pink Black Yellow Pink Black Yellow Pink Black Yellow Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Green Black Brown Green Black Brown Green Black Brown Green Black Brown Green Black\nYellow Pink Black Yellow Pink Black Yellow Pink Black Yellow Pink Black Yellow Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Green Black Brown Green Black Brown Green Black Brown Green Black Brown Green Black\nYellow Pink Black Yellow Pink Black Yellow Pink Black Yellow Pink Black Yellow Pink 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 Brown Blue Green Black Black Black Black\nBlack Black Black Red Yellow Orange Black Black Black Black\nBlack Black Black Pink Purple Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Green Black Blue Green Black Blue Green Black Blue Green Black Blue Green Black\nYellow Orange Black Yellow Orange Black Yellow Orange Black Yellow Orange Black Yellow Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Green Black Blue Green Black Blue Green Black Blue Green Black Blue Green Black\nYellow Orange Black Yellow Orange Black Yellow Orange Black Yellow Orange Black Yellow Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Green Black Blue Green Black Blue Green Black Blue Green Black Blue Green Black\nYellow Orange Black Yellow Orange Black Yellow Orange Black Yellow Orange Black Yellow Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Green Black Blue Green Black Blue Green Black Blue Green Black Blue Green Black\nYellow Orange Black Yellow Orange Black Yellow Orange Black Yellow Orange Black Yellow Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Green Black Blue Green Black Blue Green Black Blue Green Black Blue Green Black\nYellow Orange Black Yellow Orange Black Yellow Orange Black Yellow Orange Black Yellow Orange 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 Blue Orange Gray Black Black Black Black\nBlack Black Black Green Purple Brown Black Black Black Black\nBlack Black Black Yellow Red Pink Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nOrange Gray Black Orange Gray Black Orange Gray Black Orange Gray Black Orange Gray Black\nPurple Brown Black Purple Brown Black Purple Brown Black Purple Brown Black Purple Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Gray Black Orange Gray Black Orange Gray Black Orange Gray Black Orange Gray Black\nPurple Brown Black Purple Brown Black Purple Brown Black Purple Brown Black Purple Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Gray Black Orange Gray Black Orange Gray Black Orange Gray Black Orange Gray Black\nPurple Brown Black Purple Brown Black Purple Brown Black Purple Brown Black Purple Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Gray Black Orange Gray Black Orange Gray Black Orange Gray Black Orange Gray Black\nPurple Brown Black Purple Brown Black Purple Brown Black Purple Brown Black Purple Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Gray Black Orange Gray Black Orange Gray Black Orange Gray Black Orange Gray Black\nPurple Brown Black Purple Brown Black Purple Brown Black Purple Brown Black Purple 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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange 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 Orange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange 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 Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Orange Black Black Orange Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange 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 Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Yellow Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Black Black Orange Orange Orange 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 Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Purple Purple Purple Purple Black Orange Orange Orange Purple Orange Black Black\nBlack Black Black Black Blue Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Blue Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Purple Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Purple Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Blue Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Green\nGreen Black Black Black Gray Purple Purple Purple Purple Black Orange Orange Orange Purple Orange Black Green\nGreen Black Black Black Blue Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Black Green\nGreen Black Black Black Blue Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Black Green\nGreen Black Black Black Blue Blue Blue Blue Blue Purple Orange Orange Orange Orange Orange Black Green\nGreen Black Black Black Blue Blue Blue Blue Blue Purple Orange Orange Orange Orange Orange Black Green\nGreen Black Black Black Black Purple Purple Purple Purple Purple Orange Black Black Black Black Black Green\nGreen Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Orange Blue Orange Orange Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black 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 Orange Orange Gray Purple Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Gray Purple Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Purple Black Black Black Black\nBlack Black Black Black Black Black Black Orange Purple Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Orange Orange Gray Purple Black Black Black Green\nGreen Black Black Black Black Black Black Orange Orange Gray Purple Black Black Black Green\nGreen Black Black Black Black Black Black Orange Orange Orange Purple Black Black Black Green\nGreen Black Black Black Black Black Black Orange Purple Pink Pink Pink Black Black Green\nGreen Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Green\nGreen Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Blue Blue Blue Blue Pink Blue Blue Black Black\nBlack Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Green\nGreen Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Green\nGreen Black Black Black Pink Pink Pink Blue Blue Blue Blue Pink Blue Blue Black Green\nGreen Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Black Green\nGreen Black Black Black Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Black Green\nGreen Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Brown Brown Brown Brown Brown Blue Yellow Yellow Yellow Yellow Blue Black Black\nBlack Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Blue Black Black\nBlack Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Yellow Blue Black Black\nBlack Brown Brown Brown Brown Brown Yellow Yellow Blue Yellow Yellow Blue Black Black\nBlack Brown Yellow Yellow Yellow Brown Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Green\nGreen Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Green\nGreen Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Green\nGreen Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Green\nGreen Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Green\nGreen Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Green\nGreen Brown Brown Brown Brown Brown Blue Yellow Yellow Yellow Yellow Blue Black Green\nGreen Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Blue Black Green\nGreen Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Yellow Blue Black Green\nGreen Brown Brown Brown Brown Brown Yellow Yellow Blue Yellow Yellow Blue Black Green\nGreen Brown Yellow Yellow Yellow Brown Black Blue Blue Blue Blue Blue Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Yellow Black Black Black\nPink Brown Black Black Black\nPurple Gray Black Black Black\nPink Orange Black Black Black\n\nOutput:\nPink Yellow Black Black Black Black Black Black Yellow Pink\nPink Brown Black Black Black Black Black Black Brown Pink\nPurple Gray Black Black Black Black Black Black Gray Purple\nPink Orange Black Black Black Black Black Black Orange Pink\n\n\nExample 2\nInput:\nOrange Yellow Black Black\nBlue Red Black Black\nGreen Pink Black Black\nBlue Gray Black Black\nRed Orange Black Black\n\nOutput:\nOrange Yellow Black Black Black Black Yellow Orange\nBlue Red Black Black Black Black Red Blue\nGreen Pink Black Black Black Black Pink Green\nBlue Gray Black Black Black Black Gray Blue\nRed Orange Black Black Black Black Orange Red\n\n\nExample 3\nInput:\nGray Brown Black Black Black\nYellow Yellow Black Black Black\nRed Green Black Black Black\nBlue Orange Black Black Black\nPurple Pink Black Black Black\n\nOutput:\nGray Brown Black Black Black Black Black Black Brown Gray\nYellow Yellow Black Black Black Black Black Black Yellow Yellow\nRed Green Black Black Black Black Black Black Green Red\nBlue Orange Black Black Black Black Black Black Orange Blue\nPurple Pink Black Black Black Black Black Black Pink Purple\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black\nGray Black Black\nGreen Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Black Pink\nGray Black Black Black Black Gray\nGreen Black Black Black Black Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Purple Purple Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Brown Brown Brown Black Black Pink Pink Pink Pink Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Red Red Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Red Red Red Black Black Red Red Red Red Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black\nBlack Black Yellow Yellow Black Black Black Black Blue Blue Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Red Red Red Red Black Black Black\nBlack Black Yellow Yellow Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black\nBlack Black Red Red Black Black Black Black Red Red Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Red Red Red Red Black Black Black\nBlack Black Red Red Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Red Red Red Black\nBlack Green Green Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red 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 Red Red Red Black\nBlack Red Red Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black Brown Brown Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Brown Brown Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Brown Brown 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red Red Red Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black 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\nBlack 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\nBlack Red Red Black Black Black Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Black Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Green Black Black Green Green Yellow\nBlack Red Black Yellow Black Red Green Green\nBlack Brown Black Brown Red Blue Black Red\nBlack Green Black Black Black Green Black Black\nBlue Red Green Brown Green Black Blue Blue\nGreen Black Black Brown Black Gray Yellow Brown\nBlack Black Red Blue Blue Gray Green Brown\nGreen Black Black Black Yellow Red Red Black\nBlack Brown Black Black Red Red Black Blue\nBlack Yellow Black Gray Black Yellow Black Blue\nGreen Blue Black Black Black Blue Black Blue\nRed Yellow Green Black Black Black Black Green\n\nOutput:\nYellow Brown Brown Brown Brown Brown Brown Brown\nYellow Brown Brown Brown Brown Brown Brown Brown\nYellow Brown Brown Brown Brown Brown Brown Brown\nYellow Brown Brown Brown Brown Brown Brown Brown\nYellow Brown Brown Brown Brown Brown Brown Brown\nYellow Brown Brown Brown Brown Brown Brown Brown\nYellow Brown Brown Brown Brown Brown Brown Brown\nYellow Brown Brown Brown Brown Brown Brown Brown\nYellow Brown Brown Brown Brown Brown Brown Brown\nYellow Brown Brown Brown Brown Brown Brown Brown\nYellow Brown Brown Brown Brown Brown Brown Brown\nYellow Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Orange Red Pink Gray Black Black\nPurple Black Orange Black Black Red Red\nGray Black Black Purple Black Pink Orange\nRed Pink Black Black Black Orange Black\nRed Black Pink Black Black Red Purple\nBlack Black Red Black Black Black Black\nRed Black Pink Gray Black Black Black\nBlack Black Black Black Gray Black Black\nBlack Black Black Black Pink Black Black\nPurple Pink Gray Pink Black Black Black\n\nOutput:\nPink Pink Pink Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Purple\nPink Pink Pink Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Purple Black Green Black Black\nBlack Orange Gray Red Black Black Black\nBlack Blue Black Black Black Red Green\nOrange Green Gray Black Black Black Black\nBlack Pink Red Blue Blue Gray Green\nBlack Orange Pink Black Black Purple Gray\nBlack Orange Black Blue Black Black Purple\nBlack Black Gray Black Red Blue Purple\nBlack Black Gray Black Red Black Purple\nBlack Black Black Black Black Black Black\nGray Black Red Red Red Blue Blue\n\nOutput:\nPurple Purple Purple Green Green Green Green\nPurple Purple Purple Green Green Green Green\nPurple Purple Purple Green Green Green Green\nPurple Purple Purple Green Green Green Green\nPurple Purple Purple Green Green Green Green\nPurple Purple Purple Green Green Green Green\nPurple Purple Purple Green Green Green Green\nPurple Purple Purple Green Green Green Green\nPurple Purple Purple Green Green Green Green\nPurple Purple Purple Green Green Green Green\nPurple Purple Purple Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nOrange Brown Brown Black Pink Black Black Pink Black\nBlack Black Brown Black Black Purple Pink Blue Black\nBlack Blue Black Black Pink Pink Pink Black Purple\nBlack Black Purple Orange Orange Black Pink Yellow Black\nBlack Black Black Red Black Brown Black Black Blue\nPink Brown Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Yellow Black Brown\nPurple Black Black Black Black Black Black Black Blue\nBlack Black Black Brown Purple Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Green Green Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Green Green Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue\nBlue Blue Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Green Green Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue\nBlue Blue Green Green Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Green Green Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Green Green Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Red Brown Green Purple Black Purple Blue\nBlack Black Black Pink Brown Brown Black Black\nBlack Pink Black Black Red Red Red Black\nGray Red Blue Purple Blue Black Gray Yellow\nPurple Blue Brown Black Black Purple Green Yellow\nBlack Black Black Brown Purple Black Black Blue\nBlack Orange Purple Orange Black Black Orange Gray\nOrange Orange Black Black Pink Purple Brown Black\n\nOutput:\nRed Brown Green Purple Black Purple Blue Blue\nBlack Black Pink Brown Brown Black Black Black\nPink Black Black Red Red Red Black Red\nRed Blue Purple Blue Black Gray Yellow Yellow\nBlue Brown Black Black Purple Green Yellow Yellow\nBlack Black Brown Purple Black Black Blue Blue\nOrange Purple Orange Black Black Orange Gray Gray\nOrange Black Black Pink Purple Brown Black Brown\n\n\nExample 2\nInput:\nGreen Black Black Green Brown Blue Gray\nPurple Yellow Black Blue Brown Green Purple\nGray Black Purple Purple Orange Orange Gray\nYellow Red Pink Black Gray Black Gray\nBlack Blue Green Orange Black Blue Yellow\nYellow Black Green Orange Pink Purple Black\nBlack Brown Blue Brown Black Blue Red\n\nOutput:\nBlack Black Green Brown Blue Gray Gray\nYellow Black Blue Brown Green Purple Purple\nBlack Purple Purple Orange Orange Gray Gray\nRed Pink Black Gray Black Gray Gray\nBlue Green Orange Black Blue Yellow Yellow\nBlack Green Orange Pink Purple Black Purple\nBrown Blue Brown Black Blue Red Red\n\n\nExample 3\nInput:\nYellow Purple Black Brown Black Green Black Purple Black\nBlack Blue Black Brown Yellow Pink Purple Black Blue\nRed Pink Pink Brown Black Blue Black Blue Black\nBlue Brown Yellow Black Yellow Black Black Blue Black\nBrown Orange Purple Blue Black Blue Black Brown Black\nPink Gray Orange Black Purple Red Orange Black Blue\nBlack Green Black Blue Orange Purple Green Red Yellow\n\nOutput:\nPurple Black Brown Black Green Black Purple Black Purple\nBlue Black Brown Yellow Pink Purple Black Blue Blue\nPink Pink Brown Black Blue Black Blue Black Blue\nBrown Yellow Black Yellow Black Black Blue Black Blue\nOrange Purple Blue Black Blue Black Brown Black Brown\nGray Orange Black Purple Red Orange Black Blue Blue\nGreen Black Blue Orange Purple Green Red Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Black Gray Black Black Red Gray Yellow\nBlack Black Green Black Gray Brown Purple Orange Black\nBlue Black Pink Orange Red Black Black Red Pink\nBrown Pink Gray Black Black Yellow Brown Orange Yellow\nRed Orange Gray Pink Purple Green Orange Black Black\nBlack Yellow Black Black Black Gray Blue Yellow Orange\nBlack Red Green Black Orange Green Pink Gray Purple\nBlue Black Brown Pink Gray Orange Yellow Black Pink\nBlack Brown Black Pink Black Brown Brown 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 Gray Black Black Red Gray Yellow Yellow\nBlack Green Black Gray Brown Purple Orange Black Orange\nBlack Pink Orange Red Black Black Red Pink Pink\nPink Gray Black Black Yellow Brown Orange Yellow Yellow\nOrange Gray Pink Purple Green Orange Black Black Black\nYellow Black Black Black Gray Blue Yellow Orange Orange\nRed Green Black Orange Green Pink Gray Purple Purple\nBlack Brown Pink Gray Orange Yellow Black Pink Pink\nBrown Black Pink Black Brown Brown Gray Black Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Black Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Black Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Brown Brown Brown Brown Brown Brown\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Brown Brown Brown Brown Brown Brown\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Green Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nGreen Black Green Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nGreen Green Green Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nGreen Green Green Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow 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 Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow 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 Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Blue Purple Brown Brown Brown Purple\nPurple Brown Purple Purple Brown Blue Blue Blue\nBrown Purple Blue Purple Brown Purple Purple Brown\nBlue Purple Blue Purple Brown Purple Purple Brown\nBlue Brown Brown Brown Brown Purple Purple Blue\nBrown Blue Blue Blue Blue Purple Blue Purple\nPurple Purple Brown Purple Purple Brown Purple Blue\nPurple Brown Purple Purple Brown Blue Brown Brown\nBlue Purple Brown Purple Purple Blue Brown Blue\nPurple Brown Blue Purple Blue Brown Blue Purple\nPurple Blue Blue Purple Purple Brown Brown Purple\nBrown Blue Purple Purple Brown Blue Purple Purple\n\nOutput:\nBrown Blue Purple Purple Brown Blue Purple Purple\nPurple Purple Blue Purple Brown Brown Brown Purple\nPurple Brown Purple Purple Brown Blue Blue Blue\nBrown Purple Blue Purple Brown Purple Purple Brown\nBlue Purple Blue Purple Brown Purple Purple Brown\nBlue Brown Brown Brown Brown Purple Purple Blue\nBrown Blue Blue Blue Blue Purple Blue Purple\nPurple Purple Brown Purple Purple Brown Purple Blue\nPurple Brown Purple Purple Brown Blue Brown Brown\nBlue Purple Brown Purple Purple Blue Brown Blue\nPurple Brown Blue Purple Blue Brown Blue Purple\nPurple Blue Blue Purple Purple Brown Brown Purple\n\n\nExample 2\nInput:\nPink Gray Pink Red Gray Gray Pink\nGray Gray Red Red Red Pink Red\nGray Gray Gray Red Pink Gray Red\nPink Gray Red Red Pink Pink Gray\nGray Gray Gray Pink Gray Pink Red\nRed Red Pink Gray Pink Red Pink\nPink Red Red Gray Gray Pink Gray\nGray Gray Red Red Pink Red Gray\nPink Gray Red Pink Pink Red Gray\nPink Gray Pink Red Red Pink Red\n\nOutput:\nPink Gray Pink Red Red Pink Red\nPink Gray Pink Red Gray Gray Pink\nGray Gray Red Red Red Pink Red\nGray Gray Gray Red Pink Gray Red\nPink Gray Red Red Pink Pink Gray\nGray Gray Gray Pink Gray Pink Red\nRed Red Pink Gray Pink Red Pink\nPink Red Red Gray Gray Pink Gray\nGray Gray Red Red Pink Red Gray\nPink Gray Red Pink Pink Red Gray\n\n\nExample 3\nInput:\nBrown Purple Pink Purple Brown Brown Purple\nPurple Brown Pink Brown Purple Purple Pink\nPink Pink Purple Brown Purple Pink Brown\nPurple Pink Brown Pink Brown Brown Pink\nPink Pink Brown Purple Pink Pink Purple\nBrown Purple Brown Brown Purple Brown Brown\nPink Pink Brown Purple Brown Purple Purple\nPurple Purple Brown Purple Pink Pink Purple\nBrown Purple Pink Purple Purple Pink Pink\nBrown Brown Brown Brown Purple Purple Pink\nBrown Purple Pink Pink Purple Purple Purple\n\nOutput:\nBrown Purple Pink Pink Purple Purple Purple\nBrown Purple Pink Purple Brown Brown Purple\nPurple Brown Pink Brown Purple Purple Pink\nPink Pink Purple Brown Purple Pink Brown\nPurple Pink Brown Pink Brown Brown Pink\nPink Pink Brown Purple Pink Pink Purple\nBrown Purple Brown Brown Purple Brown Brown\nPink Pink Brown Purple Brown Purple Purple\nPurple Purple Brown Purple Pink Pink Purple\nBrown Purple Pink Purple Purple Pink Pink\nBrown Brown Brown Brown Purple Purple Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlue Yellow Blue Brown Blue Yellow Blue Yellow Blue\nYellow Brown Blue Brown Yellow Blue Yellow Yellow Yellow\nYellow Blue Brown Brown Blue Blue Brown Brown Blue\nBrown Brown Brown Yellow Brown Yellow Brown Blue Yellow\nYellow Brown Yellow Brown Brown Blue Yellow Brown Yellow\nBrown Brown Yellow Blue Yellow Brown Brown Yellow Blue\nYellow Yellow Brown Yellow Blue Brown Yellow Brown Blue\nBrown Blue Yellow Blue Yellow Brown Yellow Brown Blue\nYellow Yellow Brown Blue Blue Yellow Yellow Blue Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Brown Blue Blue Yellow Yellow Blue Brown\nBlue Yellow Blue Brown Blue Yellow Blue Yellow Blue\nYellow Brown Blue Brown Yellow Blue Yellow Yellow Yellow\nYellow Blue Brown Brown Blue Blue Brown Brown Blue\nBrown Brown Brown Yellow Brown Yellow Brown Blue Yellow\nYellow Brown Yellow Brown Brown Blue Yellow Brown Yellow\nBrown Brown Yellow Blue Yellow Brown Brown Yellow Blue\nYellow Yellow Brown Yellow Blue Brown Yellow Brown Blue\nBrown Blue Yellow Blue Yellow Brown Yellow Brown 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 Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black 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 Black\nBlack Black Black Black Black Black Black Black Purple Purple Orange Orange Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Orange Orange Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black 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 Black\nBlack Black Black Black Black Black Black Black Purple Purple Orange Orange Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Orange Orange Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Gray Gray Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Gray Gray Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Gray Gray Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Gray Gray Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Yellow Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Yellow Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Yellow Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Yellow Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Brown Brown Brown Brown 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 Black Black\nBlack 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 Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Yellow Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Black Brown Yellow\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Red Black Black Black Blue Orange Black Black Blue\nBlack Black Pink Black Red Yellow Black Black Black Black\nBlack Black Orange Black Black Black Black Orange Brown Black\nBlack Black Orange Black Black Pink Black Black Black Purple\nBlack Orange Yellow Red Black Blue Black Pink Black Black\nBlack Black Black Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Blue Black Black Black Blue\n\nOutput:\nBlack Black Black Black Black Black Yellow Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Black Brown Yellow\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Red Black Black Black Blue Orange Black Black Blue\nBlack Black Pink Black Red Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Orange Black Black Pink Black Black Black Purple\nBlack Orange Yellow Red Black Blue Black Pink Black Black\nBlack Black Black Black Black Black Purple Black Purple Black\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Yellow Black Black Black Yellow Black Black\nBlack Black Green Black Black Black Pink Black Orange Black\nBlack Gray Black Purple Blue Blue Black Black Black Black\nGreen Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Green Purple Black Black Gray\nPink Black Black Blue Black Black Pink Green Yellow Black\nBlue Black Black Black Blue Black Black Black Blue Black\nRed Orange Pink Black Black Black Black Black Orange Black\nBlack Blue Green Black Black Black Black Black Black Yellow\nBlue Black Black Black Black Blue Black Black Blue Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Green Black Black Black Pink Black Orange Black\nBlack Gray Black Purple Blue Blue Black Black Black Black\nGreen Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Green Purple Black Black Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Black Blue Black Black Black Blue Black\nRed Orange Pink Black Black Black Black Black Orange Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Black Black Blue Black Black Blue Black\n\n\nExample 3\nInput:\nYellow Black Black Black Black Black Yellow Black Black Black\nGray Black Black Black Black Black Black Yellow Black Black\nBlack Pink Black Black Black Black Gray Black Pink Black\nBlack Pink Yellow Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Pink Black Black\nBlack Brown Black Brown Black Black Black Black Black Gray\nYellow Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Pink Green\nPurple Black Black Black Black Black Black Black Black Orange\nBlack Blue Blue Black Blue Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Pink Yellow Black Pink Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Brown Black Brown Black Black Black Black Black Gray\nYellow Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Pink Green\nPurple Black Black Black Black Black Black Black Black Orange\nBlack Blue Blue Black Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Purple Black Orange Black Black Green Black Red\nBlack Black Yellow Black Black Pink Black Black Black Brown\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Yellow Black Gray Black Black\nPurple Black Blue Black Black Black Black Green Black Purple\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Gray Purple Pink Black Black Orange Black Red Black\nBlack Black Black Red Black Black Gray Black Pink Black\nBlack Black Black Black Black Black Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Purple Black Orange Black Black Green Black Red\nBlack Black Yellow Black Black Pink Black Black Black Brown\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Yellow Black Gray Black Black\nPurple Black Blue Black Black Black Black Green Black Purple\nGreen Green Green Green Green Green Green Green Green Green\nBlack Gray Purple Pink Black Black Orange Black Red Black\nBlack Black Black Red Black Black Gray Black Pink Black\nBlack Black Black Black Black Black Blue Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown\nBlack Black Black Brown Brown Brown\nBlack Black Black Brown Brown Brown\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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```\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 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 Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 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 Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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\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 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 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 Pink Pink Pink Pink Pink Pink Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 Pink Pink Pink Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow\nBlack Yellow Yellow Yellow\nBlack Yellow Yellow Yellow\nBlack Black Black Black\n\nOutput:\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nBlue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Green Green Green\nBlack Green Green Green\nBlack Green Green Green\nBlack Black Black Black\n\nOutput:\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\n\n\nExample 3\nInput:\nBlack Purple Purple Purple\nBlack Purple Purple Purple\nBlack Purple Purple Purple\nBlack Black Black Black\n\nOutput:\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Pink\nBlack Pink Pink Pink\nBlack Pink Pink Pink\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black 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 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 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\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 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\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 Green Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black 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 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Green Green Green Green Black Black Black\nBlack Black Pink Green Green Green Green Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Brown Brown Brown Black Black\nBlack Yellow Yellow Yellow Black Brown Brown Brown Black Black\nBlack Yellow Yellow Yellow Black Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Green Green Green Green Black Black\nBlack Black Black Pink Green Green Green Green Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Green Green Green Black Black\nBlack Black Black Black Blue Blue Blue Green Black Black\nBlack Orange Orange Orange Blue Blue Blue Green Black Black\nBlack Orange Orange Orange Blue Blue Blue Green Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Green Green Green Black Black\nBlack Black Black Black Blue Blue Blue Green Black Black\nBlack Orange Orange Orange Blue Blue Blue Green Black Black\nBlack Orange Orange Orange Blue Blue Blue Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Purple Purple Purple Blue Blue Blue Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Pink Pink Brown Brown Red Red Red Black Black\nBlack Pink Pink Brown Brown Red Red Red Black Black\nBlack Pink Pink Black Black Red Red Red Black Black\nBlack Pink Pink 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 Blue Blue Blue Blue\nBlack Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Pink Pink Brown Brown Red Red Red Black\nBlack Black Pink Pink Brown Brown Red Red Red Black\nBlack Black Pink Pink Black Black Red Red Red Black\nBlack Black Pink Pink Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nPink Pink Pink Pink Black Blue Blue Black Black Black\nPink Pink Pink Pink Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange 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 Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange 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\n\nOutput:\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink 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```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black 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 Pink Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\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 Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nGreen Pink Black Black Red Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Blue 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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 Green Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Blue Gray Gray Blue Gray Gray Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Blue Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Blue Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Pink Pink Blue Blue\nBlue Blue Blue Pink Pink Pink Pink Pink Blue Blue\nBlue Blue Blue Pink Pink Pink Pink Pink Blue Blue\nBlue Blue Blue Pink Pink Pink Pink Pink Blue Blue\nBlue Blue Blue Pink Pink Pink Pink Pink Blue Blue\nBlue Blue Blue Pink Pink Pink Pink Pink Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Pink Pink Blue Blue\nBlue Blue Blue Pink Pink Pink Pink Pink Blue Blue\nBlue Blue Blue Pink Pink Blue Pink Pink Blue Blue\nBlue Blue Blue Pink Pink Blue Pink Pink Blue Blue\nBlue Blue Blue Pink Pink Pink Pink Pink Blue Blue\nBlue Blue Blue Pink Pink Pink Pink Pink Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Blue Orange Orange Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Brown Pink Yellow Pink Black\nBlack Black Green Brown Orange Pink Gray Black\nBlack Black Orange Brown Orange Orange Green Black\nBlack Black Gray Pink Blue Orange 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Gray Green Gray Black Black\nBlack Black Yellow Pink Orange Orange Black Black\nBlack Black Pink Orange Orange Blue Black Black\nBlack Black Brown Brown Brown Pink Black Black\nBlack Black Purple Green Orange Gray Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Green Red Blue Yellow Black Black Black\nBlack Black Black Red Gray Blue Pink Black Black Black\nBlack Black Black Purple Blue Brown Orange Black Black Black\nBlack Black Black Brown Brown Gray Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Pink Orange Brown Black Black Black\nBlack Black Black Blue Blue Brown Gray Black Black Black\nBlack Black Black Red Gray Blue Brown Black Black Black\nBlack Black Black Green Red Purple Brown 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Red Black Black\nBlack Black Black Yellow Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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 Red Green Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\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 Pink Green Gray Black Black Black Black Black\nBlack Brown Gray Brown Black Black Black Black Black\nBlack Gray Pink Blue 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 Gray Brown Blue Black Black Black\nBlack Black Black Green Gray Pink Black Black Black\nBlack Black Black Pink Brown Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Gray Brown Blue\nYellow Pink Gray Brown Red\nRed Gray Orange Gray Red\nPurple Yellow Blue Green Yellow\nBrown Red Pink Purple Brown\n\nOutput:\nOrange Red Gray Orange Blue\nYellow Pink Gray Orange Black\nBlack Gray Red Gray Black\nPurple Yellow Blue Green Yellow\nOrange Black Pink Purple Orange\n\n\nExample 2\nInput:\nGreen Yellow Pink Purple Orange\nOrange Green Purple Red Red\nBrown Brown Gray Red Brown\nGreen Pink Red Blue Orange\nYellow Yellow Purple Brown Purple\n\nOutput:\nGreen Yellow Pink Purple Red\nRed Green Purple Black Black\nOrange Orange Gray Black Orange\nGreen Pink Black Blue Red\nYellow Yellow Purple Orange Purple\n\n\nExample 3\nInput:\nGray Brown Pink Brown Orange\nPink Red Blue Yellow Purple\nGray Green Brown Gray Pink\nRed Pink Green Blue Brown\nPurple Red Red Red Yellow\n\nOutput:\nGray Orange Pink Orange Red\nPink Black Blue Yellow Purple\nGray Green Orange Gray Pink\nBlack Pink Green Blue Orange\nPurple Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nRed Green Red Yellow Blue\nRed Blue Brown Purple Blue\nBrown Yellow Brown Yellow Pink\nGreen Brown Brown Brown Orange\nRed Green Red Gray Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Black Yellow Blue\nBlack Blue Orange Purple Blue\nOrange Yellow Orange Yellow Pink\nGreen Orange Orange Orange Red\nBlack Green Black Gray 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow 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 Red Yellow Yellow Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue 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 Blue 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 Red Yellow Yellow 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 Yellow 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlue Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Red Red Black Black Black Black Black\nBlue Blue Blue Red Black Black Black Black Black Black Black Black Black Black Black Red Red Yellow Blue Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black 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 Yellow Black Black Black Black Black Black Black Black\nYellow Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nYellow Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Red Red Black Black Black Black Black\nYellow Yellow Yellow Green Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Blue Blue Blue Blue Yellow Red Yellow Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Red Black Black Black Black\nBlack Black Black Red Red Black Blue Yellow Blue Blue Yellow Blue Black Black Black Black Black\nBlack Red Red Red Red Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Yellow Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Black Black Black Black\nBlack Black Black Yellow Yellow Black Green Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Green Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Yellow Red Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Red Red Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Red Red Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Red Black Black Red Black Black Black\nBlack Black Black Blue Black Black Blue Yellow Yellow Black Red Black Black Red Black Black Black\nBlack Black Black Red Black Black Red Yellow Blue Black Red Red Red Red Black Black Black\nBlack Black Red Red Blue Black Blue Yellow Yellow Red Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Black Blue Yellow Black Yellow Blue 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Red Black Black Red Black Black Black\nBlack Black Black Green Black Black Green Yellow Yellow Black Red Black Black Red Black Black Black\nBlack Black Black Green Black Black Green Yellow Green Black Red Red Red Red Black Black Black\nBlack Black Green Green Green Black Green Yellow Yellow Green Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Yellow Yellow Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Yellow Green Black Green Yellow 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Red Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Red Black Black Black Red Blue Blue Blue Blue Black Black Black Black\nRed Red Yellow Black Black Black Red Red Red Black Blue Blue Blue Black Black Black Black Black Black\nRed Black Yellow Red Black Black Red Red Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Yellow Red Red Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Yellow Red Red Yellow 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 Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Green Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Yellow Black Black Black Green Red Red Red Red Black Black Black Black\nGreen Green Yellow Black Black Black Yellow Yellow Yellow Black Red Red Red Black Black Black Black Black Black\nGreen Black Yellow Green Black Black Yellow Yellow Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green 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\nBlack 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 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\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 Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Gray Black\nBlack Black Black Gray Pink Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Gray Gray Gray\nBlack Black Orange Orange Orange Black Black Gray Gray Gray\nBlack Black Gray Gray Gray Black Purple Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\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 Green Green Pink Pink Pink Black Black Black\nBlack Black Green Green Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Gray Gray\nBlack Yellow Yellow Yellow Red Red Red Black Gray Gray\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack 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 Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown\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 Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black 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 Black\nBlack Red Brown Red Black Black Black Black Black Black\nBlack Red Red Purple Purple Purple Black Black Black Black\nBlack Red Red Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Purple Orange Orange\nBlack Black Yellow Yellow Yellow Blue Blue Purple Orange Purple\nBlack Black Yellow Yellow Yellow Blue Blue Purple Purple Purple\nBlack Black Yellow Yellow Yellow Black Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black 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:\nOrange Orange Black Black Orange Black Orange Black Orange Orange Orange Black Black Black Black Orange Black Black Orange Orange Black Black\nBlack Orange Orange Orange Black Black Black Orange Black Black Orange Orange Black Black Black Black Orange Black Black Black Orange Orange\nOrange Black Orange Black Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Black Black Black Black Orange Orange Black\nBlack Orange Orange Black Orange Black Black Black Orange Black Black Black Orange Black Orange Black Black Orange Orange Black Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange Black Orange Orange Orange Black Black Orange Black Black Orange Orange Black Orange Black\nOrange Black Orange Orange Black Black Orange Black Orange Orange Black Orange Orange Orange Black Orange Orange Black Black Orange Black Black\nBlack Orange Orange Black Black Black Orange Black Black Black Black Orange Black Black Orange Orange Black Orange Black Orange Black Orange\nBlack Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black Black Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Black Black Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Orange Black Black Black Black Orange Black Orange Orange Black Orange Orange Black\nOrange Black Orange Black Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Orange Black Black\nOrange Black Orange Black Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Black Black Orange Orange Orange Black\nBlack Orange Orange Orange Black Orange Black Black Orange Black Orange Black Orange Orange Black Black Orange Orange Orange Black Orange Orange\nBlack Orange Black Orange Black Orange Black Black Orange Black Black Black Black Black Black Orange Black Orange Black Black Orange Black\nBlack Black Black Orange Orange Orange Black Orange Orange Black Orange Black Black Black Orange Black Black Orange Orange Black Orange Orange\nBlack Black Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black Black Black Black Orange Black Black\nBlack Black Orange Black Black Orange Orange Orange Black Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black\nOrange Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Black Black Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nOrange Black Black Black Orange Orange Black Orange Black Black Orange Orange Black Black Black Black Black Orange Orange Orange\nBlack Black Orange Black Black Orange Orange Orange Orange Orange Black Black Black Black Orange Black Orange Orange Black Orange\nOrange Orange Orange Black Black Black Black Orange Black Orange Black Orange Black Black Orange Black Black Black Black Orange\nOrange Orange Black Black Black Black Black Black Orange Black Black Orange Black Orange Orange Black Black Black Orange Orange\nOrange Black Black Black Orange Black Black Black Orange Orange Black Black Orange Black Orange Black Black Black Orange Orange\nBlack Orange Orange Black Black Black Orange Black Orange Orange Black Black Orange Black Orange Orange Orange Orange Black Black\nOrange Orange Black Orange Black Orange Orange Black Orange Orange Orange Black Orange Black Orange Black Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Black Black Orange Orange Orange Black Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Orange Black Black Orange Orange Black Black Orange Orange\nBlack Orange Black Black Orange Black Black Orange Orange Orange Black Black Orange Orange Orange Black Black Black Orange Black\nOrange Black Black Orange Black Orange Black Black Orange Orange Black Black Orange Black Black Black Black Orange Orange Orange\nOrange Black Orange Black Black Orange Orange Orange Black Black Black Orange Black Orange Orange Orange Black Black Orange Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Black Black Orange Black Orange Black Black\nBlack Brown Orange Orange Black Orange Orange Orange Black Black Black Brown Orange Black Orange Orange Black Orange Black Black\nOrange Brown Black Orange Black Black Black Orange Black Orange Orange Brown Black Black Black Orange Orange Orange Black Orange\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Black Orange Orange Black\nOrange Orange Black Orange Orange Black Orange Black Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlue Black Blue Blue Blue Black Black Black Blue Blue Black Blue Black Black Blue Blue Black Blue Blue Black\nBlack Blue Black Blue Black Blue Black Black Black Black Black Black Blue Blue Black Blue Blue Black Black Blue\nBlack Blue Black Black Blue Black Blue Blue Black Black Blue Black Black Black Blue Blue Blue Blue Black Blue\nBlack Black Black Black Black Black Black Blue Black Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue\nBlue Black Blue Blue Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Black Purple Blue Blue Blue Blue Blue Black Black Black Black Blue Black Black Purple\nBlack Black Blue Black Black Blue Purple Blue Black Blue Black Black Blue Black Blue Black Black Black Black Purple\nBlack Black Blue Blue Blue Blue Purple Blue Blue Blue Black Black Blue Black Blue Blue Black Black Blue Purple\nBlack Black Blue Blue Black Blue Purple Blue Blue Blue Blue Blue Black Blue Black Black Blue Black Black Purple\nBlue Black Blue Blue Blue Black Purple Blue Blue Black Blue Black Black Black Blue Blue Blue Black Black Purple\nBlack Black Blue Black Black Black Purple Black Blue Black Black Black Black Blue Black Black Blue Blue Blue Purple\nBlue Black Black Black Blue Blue Purple Blue Black Black Black Blue Black Black Blue Blue Black Blue Black Purple\nBlack Black Blue Black Black Blue Purple Black Blue Blue Black Blue Black Black Black Black Blue Blue Black Purple\nBlack Black Blue Black Blue Blue Purple Blue Black Black Blue Blue Black Black Black Blue Black Black Black Purple\nBlack Black Black Blue Blue Blue Purple Black Blue Black Blue Black Black Black Blue Blue Blue Black Black Purple\nBlack Black Blue Blue Black Blue Purple Black Blue Black Blue Blue Black Blue Blue Blue Black Black Blue Purple\nBlue Black Black Blue Blue Blue Purple Black Black Black Blue Blue Black Blue Blue Black Black Black Blue Purple\nBlue Black Black Black Black Blue Purple Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black Purple\nBlack Blue Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Blue Blue Blue Black Blue Blue Blue Black Black Blue Black Black Black Black Black Black Blue Black Blue\nBlue Blue Black Black Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Black Blue Black Blue Black Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Blue Blue Blue Black Blue Blue Black Blue Blue Blue Black\nBlue Blue Black Black Blue Black Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Black Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Purple Purple Purple Black Purple Black Purple Purple Black Black Purple Purple Purple Black Black Black Purple Purple Black Black Black Purple\nBlack Purple Purple Purple Black Purple Black Purple Black Purple Black Purple Black Black Black Purple Purple Black Black Black Black Purple Purple\nPurple Black Purple Purple Purple Black Black Purple Black Purple Purple Black Black Purple Purple Purple Black Black Black Black Purple Black Purple\nBlack Purple Purple Black Black Purple Purple Black Purple Purple Black Black Black Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Purple Black Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nPurple Black Black Black Purple Black Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black Purple Black Black Black\nPurple Purple Black Black Black Black Purple Purple Purple Yellow Purple Purple Purple Purple Purple Yellow Black Purple Purple Purple Black Purple Black\nPurple Black Black Black Purple Purple Purple Purple Purple Yellow Purple Black Black Purple Black Yellow Purple Purple Black Black Purple Black Purple\nBlack Black Black Purple Purple Purple Purple Black Purple Yellow Purple Purple Purple Black Black Yellow Purple Black Black Black Black Purple Black\nPurple Black Purple Black Black Purple Purple Black Purple Yellow Purple Purple Black Purple Black Yellow Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Purple Black Black Purple Purple Yellow Black Purple Black Purple Black Yellow Purple Purple Black Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Black Purple Yellow Purple Purple Purple Black Black Yellow Black Purple Black Black Black Purple Black\nBlack Black Purple Purple Purple Black Purple Black Purple Yellow Purple Black Purple Black Purple Yellow Purple Purple Black Black Black Purple Black\nBlack Purple Black Black Black Black Black Purple Black Yellow Purple Black Purple Black Purple Yellow Purple Black Purple Purple Purple Black Purple\nBlack Purple Black Black Black Purple Black Purple Purple Yellow Black Black Purple Purple Purple Yellow Black Black Purple Purple Black Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple Black Yellow Purple Black Purple Black Black Yellow Black Black Black Purple Purple Purple Black\nBlack Black Purple Black Black Purple Black Black Black Yellow Black Purple Black Purple Black Yellow Black Black Purple Black Purple Black Black\nBlack Purple Purple Purple Black Purple Purple Purple Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Black Purple\nPurple Purple Black Black Black Black Purple Black Black Black Purple Purple Black Purple Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Purple Purple Purple Black Black Black Black Purple Purple Black Purple Black Black Purple Purple\nPurple Black Purple Purple Black Purple Black Purple Purple Black Black Purple Black Black Purple Purple Black Purple Purple Black Black Black Black\nPurple Purple Black Black Purple Black Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple Black\nPurple Black Purple Black Purple Purple Purple Purple Black Black Purple Black Black Black Purple Purple Black Purple Purple Black Black Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Black Black Black Brown Brown Brown\nBrown Purple Brown Black Black Black Brown Purple Brown\nBrown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown\nBrown Purple Brown Black Black Black Brown Purple Brown\nBrown Brown Brown Black Black Black Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Purple Brown Brown Purple Brown Brown Purple Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Purple Brown Brown Purple Brown Brown Purple Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBrown Green Brown Black Brown Green Brown\nBrown Gray Brown Black Brown Gray Brown\nBrown Gray Brown Black Brown Gray Brown\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBrown Gray Brown Black Brown Brown Brown\nBrown Gray Brown Black Gray Gray Green\nBrown Green Brown Black Brown Brown Brown\n\nOutput:\nBrown Brown Green Brown Brown Green Brown\nBrown Brown Gray Brown Brown Gray Brown\nBrown Brown Gray Brown Brown Gray Brown\nBrown Brown Green Brown Brown Green Brown\nBrown Brown Gray Brown Brown Gray Brown\nBrown Brown Gray Brown Brown Gray Brown\nBrown Brown Green Brown Brown Green Brown\nBrown Brown Gray Brown Brown Gray Brown\n\n\nExample 3\nInput:\nYellow Blue Red Black Black Yellow Blue Red\nPink Brown Pink Black Black Pink Brown Pink\nPink Pink Pink Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Pink Pink Black Black Red Pink Pink\nBlue Brown Pink Black Black Blue Brown Pink\nYellow Pink Pink Black Black Yellow Pink Pink\n\nOutput:\nBlue Red Yellow Blue Red Yellow Blue Red\nBrown Pink Pink Brown Pink Pink Brown Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nBlue Red Yellow Blue Red Yellow Blue Red\nBrown Pink Pink Brown Pink Pink Brown Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nBlue Red Yellow Blue Red Yellow Blue Red\nBrown Pink Pink Brown Pink Pink Brown Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Yellow Purple Purple Yellow Purple\nBlue Blue Blue Blue Blue Blue\nPink Blue Pink Pink Blue Pink\nPurple Yellow Purple Purple Blue Pink\nBlue Blue Blue Yellow Blue Blue\nPink Blue Pink Purple Blue Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Yellow Purple Purple Yellow Purple\nBlue Blue Blue Blue Blue Blue\nPink Blue Pink Pink Blue Pink\nPurple Yellow Purple Purple Yellow Purple\nBlue Blue Blue Blue Blue Blue\nPink Blue Pink Pink Blue Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Gray Gray Green Green Green Gray Brown Green\nGray Black Black Black Black Blue Brown Brown Gray Gray\nGreen Black Black Black Black Black Black Black Red Green\nBrown Black Black Black Black Black Black Orange Orange Gray\nOrange Black Black Black Black Black Green Orange Black Green\nBrown Black Black Black Black Black Green Black Black Gray\nGray Yellow Pink Black Red Red Green Black Black Orange\nOrange Red Gray Yellow Yellow Brown Black Black Black Green\nGreen Red Pink Black Black Black Black Black Black Gray\nGray Red Pink Black Black Black Black Black Black Gray\nBrown Red Red Purple Purple Purple Purple Purple Black Orange\nGray Purple Purple Orange Yellow Black Black Black Black Green\nOrange Purple Purple Green Red Black Black Black Black Brown\nBrown Gray Orange Green Orange Gray Brown Gray Green Brown\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Gray Gray\nGray Black Black Black Black Black Black Gray Gray Gray\nGray Black Black Black Black Black Gray Gray Black Gray\nGray Black Black Black Black Black Gray Black Black Gray\nGray Gray Gray Black Gray Gray Gray Black Black Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray\nGray Gray Gray Black Black Black Black Black Black Gray\nGray Gray Gray Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Gray\nGray Gray Gray Gray Gray Black Black Black Black Gray\nGray Gray Gray Gray Gray Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nPurple Purple Red Brown Red Purple Red Red Brown\nOrange Purple Purple Yellow Black Yellow Purple Purple Purple\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Orange\nBrown Purple Purple Yellow Yellow Yellow Purple Purple Brown\nPurple Purple Black Yellow Yellow Yellow Black Purple Brown\nOrange Black Orange Blue Yellow Blue Orange Black Red\nRed Red Gray Blue Black Blue Gray Red Brown\nPurple Brown Gray Red Black Red Gray Brown Purple\nRed Yellow Black Red Black Red Black Yellow Purple\nBrown Red Black Red Black Red Black Red Red\nOrange Red Red Red Black Red Red Red Brown\nPurple Brown Purple Red Red Orange Purple Purple Purple\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Orange Black Orange Orange\nOrange Black Orange Orange Orange Orange Orange Black Orange\nOrange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Black Orange Black Orange Black Orange Orange\nOrange Orange Black Orange Black Orange Black Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nOrange Blue Green Yellow Orange Orange Green Orange Yellow\nYellow Purple Gray Gray Blue Blue Orange Orange Yellow\nOrange Gray Gray Gray Brown Pink Orange Orange Blue\nYellow Yellow Gray Red Red Pink Brown Purple Orange\nOrange Gray Gray Blue Red Brown Brown Brown Blue\nYellow Black Pink Gray Red Purple Purple Orange Yellow\nOrange Black Pink Pink Pink Black Black Black Green\nYellow Black Pink Gray Red Purple Purple Orange Orange\nYellow Gray Gray Blue Red Brown Brown Brown Yellow\nYellow Yellow Gray Red Red Pink Brown Purple Yellow\nBlue Gray Gray Gray Brown Pink Orange Orange Green\nBlue Purple Gray Gray Blue Blue Orange Orange Blue\nOrange Blue Green Yellow Blue Green Green Orange Green\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Black Orange Orange Orange Black Black Black Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Orange Yellow Blue Gray Gray Blue Yellow Blue Orange\nYellow Purple Purple Red Yellow Black Yellow Red Purple Purple Yellow\nYellow Blue Purple Purple Green Blue Green Purple Purple Blue Blue\nGray Blue Gray Pink Green Green Green Pink Gray Blue Orange\nGray Green Black Pink Pink Purple Pink Pink Black Green Gray\nBlue Blue Black Orange Pink Purple Pink Orange Black Blue Gray\nGray Yellow Blue Green Green Pink Green Green Blue Yellow Yellow\nYellow Yellow Purple Orange Pink Red Pink Orange Purple Yellow Blue\nYellow Yellow Brown Pink Orange Orange Orange Pink Brown Yellow Gray\nBlue Brown Pink Red Red Orange Red Red Pink Brown Yellow\nYellow Orange Yellow Yellow Blue Gray Gray Yellow Orange Blue 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```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Blue Blue Blue Blue Blue Black Blue Blue\nBlue Blue Black Blue Blue Blue Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |