barc0/Llama-3.1-ARC-Potpourri-Transduction-8B
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{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nGray Black Black Black Gray Gray Gray Gray Black Black\nGray Gray Gray Black Gray Gray Gray Gray Gray Black\nGray Gray Gray Black Black Gray Gray Gray Gray Black\nGray Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nRed Black Black Black Blue Blue Blue Blue Black Black\nRed Red Red Black Blue Blue Blue Blue Blue Black\nRed Red Red Black Black Blue Blue Blue Blue Black\nRed Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Gray Black Black Black Black Gray Gray\nBlack Black Gray Gray Gray Black Black Black Gray Gray\nBlack Gray Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Gray Black Black Black Gray Gray\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Gray Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Black Black Red Red\nBlack Black Blue Blue Blue Black Black Black Red Red\nBlack Blue Blue Blue Blue Blue Black Black Red Red\nBlack Black Blue Blue Blue Black Black Black Red Red\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red\nBlack Black Gray Gray Black Black Red Red Red Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nGray Gray Black Black Gray Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nGray Gray Black Black Red Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Gray Gray Gray Black Black\nGray Gray Black Black Black Gray Gray Black Black Black\nGray Gray Black Black Black Gray Black Black Black Gray\nGray Gray Black Black Black Gray Black Black Gray Gray\nGray Gray Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Blue Blue Blue Black Black\nRed Red Black Black Black Blue Blue Black Black Black\nRed Red Black Black Black Blue Black Black Black Blue\nRed Red Black Black Black Blue Black Black Blue Blue\nRed Red Black Black Black Blue Blue Blue Blue Blue\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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow\nBrown Yellow Yellow Yellow Yellow Yellow Green Pink Pink Pink Yellow\nBrown Yellow Yellow Yellow Black Yellow Green Pink Pink Pink Yellow\nBrown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Yellow\nYellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow\nBrown Yellow Yellow Yellow Yellow Yellow Green Pink Pink Pink Yellow\nBrown Yellow Yellow Yellow Yellow Yellow Green Pink Pink Pink Yellow\nBrown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Yellow\nYellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Yellow Yellow Yellow Green Green Green Green Green Green Green\nGreen Green Green Green Blue Green Green Green Red Red Green\nGreen Green Green Green Green Green Green Green Red Red Green\nGreen Blue Blue Green Green Green Green Green Red Red Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Green Green Green Green\nGreen Green Green Green Green Green Orange Green Green Green Green\nGreen Green Green Green Green Green Green Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Yellow Yellow Yellow Green Green Green Green Green Green Green\nGreen Green Green Green Blue Green Green Green Red Red Green\nGreen Green Green Green Green Green Green Green Red Red Green\nGreen Blue Blue Green Green Green Green Green Red Red Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Green Green Green Green\nGreen Green Green Green Green Green Orange Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Yellow Yellow Green Green Green\nGreen Green Green Green Yellow Yellow Green Green Green\nGreen Green Green Green Yellow Yellow Red Red Green\nGreen Green Green Green Green Black Red Red Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Yellow Yellow Green Green Green\nGreen Green Green Green Yellow Yellow Green Green Green\nGreen Green Green Green Yellow Yellow Red Red Green\nGreen Green Green Green Green Green Red Red Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Pink Pink Pink 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 Brown Brown Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Pink Pink Pink 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 Brown Brown 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 Pink Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"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 Green Black Black Yellow Black Black Black Black Black Black Green Red Black\nYellow Black Black Yellow Black Black Yellow Black Black Black Green Green Black Black Black Green Black\nYellow Black Yellow Black Black Black Black Black Black Black Green Yellow Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Green Black Black Red Black Black Green\nBlack Green Black Yellow Yellow Black Red Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Yellow Green Black Green Red Yellow Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Green Black Yellow Yellow Green Black Yellow Green Green Yellow Black Black Yellow Black Yellow\nRed Black Black Black Red Black Red Red Black Black Black Black Black Black Black Black Green\nBlack Black Black Yellow Black Black Green Red Green Black Yellow Black Green Black Yellow Black Green\nRed Black Black Green Black Black Green Black Black Black Red Black Black Black Black Green Red\nBlack Black Black Red Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Red Black Black Black Green Yellow Green Black Red Black\n\nOutput:\nBlack Black Black Black Pink Black Black Yellow Black Black Black Black Black Black Pink Red Black\nYellow Black Black Yellow Black Black Yellow Black Black Black Pink Pink Black Black Black Pink Black\nYellow Black Yellow Black Black Black Black Black Black Black Pink Yellow Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Pink Black Black Red Black Black Pink\nBlack Pink Black Yellow Yellow Black Red Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Yellow Pink Black Pink Red Yellow Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Pink Black Yellow Yellow Pink Black Yellow Pink Pink Yellow Black Black Yellow Black Yellow\nRed Black Black Black Red Black Red Red Black Black Black Black Black Black Black Black Pink\nBlack Black Black Yellow Black Black Pink Red Pink Black Yellow Black Pink Black Yellow Black Pink\nRed Black Black Pink Black Black Pink Black Black Black Red Black Black Black Black Pink Red\nBlack Black Black Red Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Red Black Black Black Pink Yellow Pink Black Red Black\n\n\nExample 2\nInput:\nRed 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 Green\nBlack Yellow Black Black Black Red Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Red Black Black\nBlack Red Black Black Green Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Green Black Yellow Black\nBlack Yellow Black Yellow Black Black Black Black Red Red Black Red Black Black Red\nBlack Black Black Black Yellow Black Black Green Black Black Yellow Black Red Black Green\nBlack Black Red Black Red Black Black Black Black Black Black Red Black Black Green\nRed Black Black Green Yellow Black Green Black Black Black Black Black Black Black Black\nRed Black Yellow Red Black Black Black Black Black Black Green Yellow Black Black Red\nYellow Black Black Black Black Black Black Green Black Black Yellow Red Black Black Black\n\nOutput:\nBrown 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 Green\nBlack Yellow Black Black Black Brown Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Brown Black Black\nBlack Brown Black Black Green Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Green Black Yellow Black\nBlack Yellow Black Yellow Black Black Black Black Brown Brown Black Brown Black Black Brown\nBlack Black Black Black Yellow Black Black Green Black Black Yellow Black Brown Black Green\nBlack Black Brown Black Brown Black Black Black Black Black Black Brown Black Black Green\nBrown Black Black Green Yellow Black Green Black Black Black Black Black Black Black Black\nBrown Black Yellow Brown Black Black Black Black Black Black Green Yellow Black Black Brown\nYellow Black Black Black Black Black Black Green Black Black Yellow Brown Black Black Black\n\n\nExample 3\nInput:\nBlack Red Yellow Black Yellow Black Green Black Black Black Green Red Black Black Black Yellow\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nGreen Black Green Black Yellow Black Black Black Black Black Black Black Green Black Black Red\nBlack Black Red Black Black Yellow Green Black Black Red Black Black Black Black Black Green\nGreen Black Black Black Black Yellow Green Yellow Black Red Green Black Black Black Black Yellow\nBlack Black Green Black Black Black Black Yellow Red Black Yellow Red Black Black Black Black\nBlack Black Green Black Black Black Black Yellow Black Black Black Black Green Green Red Black\nRed Green Black Green Black Green Black Black Black Red Black Black Yellow Black Black Red\nBlack Black Green Yellow Black Black Black Black Black Black Green Black Red Black Black Black\nGreen Black Black Black Black Red Black Yellow Red Black Black Black Black Black Black Black\nYellow Black Green Green Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Yellow Green Black Black Yellow Yellow Black Black Black Green Black Black\n\nOutput:\nBlack Red Yellow Black Yellow Black Pink Black Black Black Pink Red Black Black Black Yellow\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nPink Black Pink Black Yellow Black Black Black Black Black Black Black Pink Black Black Red\nBlack Black Red Black Black Yellow Pink Black Black Red Black Black Black Black Black Pink\nPink Black Black Black Black Yellow Pink Yellow Black Red Pink Black Black Black Black Yellow\nBlack Black Pink Black Black Black Black Yellow Red Black Yellow Red Black Black Black Black\nBlack Black Pink Black Black Black Black Yellow Black Black Black Black Pink Pink Red Black\nRed Pink Black Pink Black Pink Black Black Black Red Black Black Yellow Black Black Red\nBlack Black Pink Yellow Black Black Black Black Black Black Pink Black Red Black Black Black\nPink Black Black Black Black Red Black Yellow Red Black Black Black Black Black Black Black\nYellow Black Pink Pink Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Yellow Pink Black Black Yellow Yellow Black Black Black Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Black Green Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Green Green Red Black Green Yellow Black Black Black\nBlack Green Black Black Green Yellow Black Black Green Green Black Black Green Black\nYellow Black Yellow Black Red Black Black Black Black Black Black Black Black Red\nBlack Green Black Black Black Green Green Black Black Black Black Red Black Green\nBlack Black Black Black Black Red Black Black Yellow Black Black Black Red Black\nBlack Red Black Green Green Black Yellow Black Green Black Black Black Yellow Black\nBlack Red Black Black Black Black Red Red Black Red Black Black Green Black\nYellow Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Red Green Red Green Green Red Red Yellow Black\nBlack Black Black Red Black Black Black Black Black Yellow Black Red Red Black\nBlack Black Black Black Black Black Yellow Yellow Red Black Red Black Black Yellow\nGreen Black Yellow Red Black Black Black Black Black Green Black Black Black Black\nBlack Black Green Green Black Yellow Yellow Black Black Black Black Black Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Black Black Pink Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Pink Pink Red Black Pink Yellow Black Black Black\nBlack Pink Black Black Pink Yellow Black Black Pink Pink Black Black Pink Black\nYellow Black Yellow Black Red Black Black Black Black Black Black Black Black Red\nBlack Pink Black Black Black Pink Pink Black Black Black Black Red Black Pink\nBlack Black Black Black Black Red Black Black Yellow Black Black Black Red Black\nBlack Red Black Pink Pink Black Yellow Black Pink Black Black Black Yellow Black\nBlack Red Black Black Black Black Red Red Black Red Black Black Pink Black\nYellow Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Red Pink Red Pink Pink Red Red Yellow Black\nBlack Black Black Red Black Black Black Black Black Yellow Black Red Red Black\nBlack Black Black Black Black Black Yellow Yellow Red Black Red Black Black Yellow\nPink Black Yellow Red Black Black Black Black Black Pink Black Black Black Black\nBlack Black Pink Pink Black Yellow Yellow Black Black Black Black Black Yellow Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Pink Pink Pink Pink\nBlack Pink Pink Pink Pink\nBlack Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\n\n\nExample 2\nInput:\nBlack Orange Orange Orange\nBlack Orange Orange Orange\nBlack Orange Orange Orange\nBlack Orange Orange Orange\nBlack Orange Orange Orange\n\nOutput:\nBlack Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black\n\n\nExample 3\nInput:\nBlack Gray Gray Gray Gray\nBlack Gray Gray Gray Gray\nBlack Gray Gray Gray Gray\nBlack Gray Gray Gray Gray\nBlack Gray Gray Gray Gray\n\nOutput:\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink\nBlack Pink Pink\nBlack 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 Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown 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 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\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 Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Black Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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"
},
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple\nPurple\nPurple\nPurple\nPurple\nPurple\nPurple\nBlack\nBlack\nBlack\nBlack\nBlack\n\nOutput:\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nBlack Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple\nBlack Black Black Black Purple Purple\nBlack Black Black Black Black Purple\n\n\nExample 2\nInput:\nPink\nPink\nPink\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\n\nOutput:\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink\nBlack Black Pink Pink Pink\nBlack Black Black Pink Pink\nBlack Black Black Black Pink\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nOrange\nOrange\nOrange\nOrange\nOrange\nBlack\nBlack\nBlack\nBlack\nBlack\n\nOutput:\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange\nBlack Black Orange Orange Orange\nBlack Black Black Orange Orange\nBlack Black Black Black Orange\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray\nGray\nGray\nGray\nGray\nGray\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\n\n\nDirectly provide the output grids corresponding to the given test input 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\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray\nBlack Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple 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\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 Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown 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\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 Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Brown 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 Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Brown Black\nBrown Blue Brown\nBlack Brown Black\n\nOutput:\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Blue 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Brown Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Blue Brown Brown Blue Brown Brown Blue Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Brown Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Blue 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Black\nGreen Red Pink\nGreen Blue Black\n\nOutput:\nGreen Blue Black Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Red Pink Green Red Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Black Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Black Green Blue Black Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Red Pink Green Red Pink Green Red Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Black Green Blue Black Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Black Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Red Pink Green Red Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Black Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Black\nBlue Blue Blue\nBlack Blue Black\n\nOutput:\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nGreen Black Green\nGreen Blue Green\nGreen Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Green Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Green Black Black Black Green Blue Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Green Green Black Green Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Green Green Blue Green Green Blue Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Green Green Black Green Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Green Green Blue Green Green Blue Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange Brown\nBlue Purple Brown Gray Brown Brown Purple Purple Brown Pink Orange\nBlue Orange Brown Pink Green Green Yellow Yellow Orange Yellow Blue\nPurple Purple Pink Orange Blue Green Red Pink Blue Purple Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange Brown\nBlue Purple Brown Gray Brown Brown Purple Purple Brown Pink Orange\nBlue Orange Brown Pink Green Green Yellow Yellow Orange Yellow Blue\nPurple Purple Pink Orange Blue Green Red Pink Blue Purple Red\nBrown Brown Purple Pink Red Blue Green Purple Red Brown Green\nRed Pink Yellow Purple Blue Blue Orange Orange Pink Orange Red\nRed Brown Yellow Gray Yellow Yellow Brown Brown Yellow Purple Pink\nPink Orange Red Green Blue Purple Red Gray Green Pink Yellow\n\n\nExample 2\nInput:\nBrown Yellow Yellow Red Green Blue Orange Purple Pink Orange\nGray Pink Blue Purple Yellow Orange Green Purple Blue Blue\nBrown Green Orange Gray Red Yellow Pink Purple Orange Gray\nPink Purple Brown Yellow Brown Pink Blue Gray Green Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Yellow Yellow Red Green Blue Orange Purple Pink Orange\nGray Pink Blue Purple Yellow Orange Green Purple Blue Blue\nBrown Green Orange Gray Red Yellow Pink Purple Orange Gray\nPink Purple Brown Yellow Brown Pink Blue Gray Green Gray\nPurple Brown Yellow Orange Yellow Purple Red Gray Blue Gray\nYellow Blue Pink Gray Green Orange Purple Brown Pink Gray\nGray Purple Red Brown Orange Pink Blue Brown Red Red\nYellow Orange Orange Green Blue Red Pink Brown Purple Pink\n\n\nExample 3\nInput:\nPink Gray Green Pink Brown Gray Brown Blue Pink Gray\nPink Gray Pink Brown Brown Orange Pink Pink Pink Purple\nBrown Yellow Blue Orange Orange Pink Gray Blue Red Pink\nBrown Red Purple Orange Blue Orange Yellow Purple Green Gray\nOrange Red Pink Green Green Brown Orange Purple Purple Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPink Gray Green Pink Brown Gray Brown Blue Pink Gray\nPink Gray Pink Brown Brown Orange Pink Pink Pink Purple\nBrown Yellow Blue Orange Orange Pink Gray Blue Red Pink\nBrown Red Purple Orange Blue Orange Yellow Purple Green Gray\nOrange Red Pink Green Green Brown Orange Purple Purple Yellow\nPink Green Purple Blue Blue Yellow Pink Brown Brown Orange\nYellow Green Brown Pink Red Pink Orange Brown Blue Gray\nYellow Orange Red Pink Pink Purple Gray Red Green Purple\nPurple Gray Purple Yellow Yellow Pink Purple Purple Purple Brown\nPurple Gray Blue Purple Yellow Gray Yellow Red Purple Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Gray Yellow Pink Purple Pink\nBrown Blue Yellow Green Blue Green\nGray Green Brown Red Blue Orange\nGray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Gray Yellow Pink Purple Pink\nBrown Blue Yellow Green Blue Green\nGray Green Brown Red Blue Orange\nGray Blue Yellow Green Red Pink\nYellow Red Orange Blue Red Blue\nBrown Gray Orange Purple Brown 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 Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Black Blue Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black 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 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Yellow Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Black\nBlack Black Blue Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Blue Blue Black\nBlack Black Blue Blue Black Blue Black Black Black Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nPurple Yellow\nYellow Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nPurple Yellow\nYellow Purple\n\n\nExample 3\nInput:\nBlack Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Yellow\nYellow Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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```\nOrange Yellow\nYellow Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Yellow Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Yellow\nBlack Yellow Blue Green Red Red Red Red Red Red Red Red Red Red Red Green Blue Yellow\nBlack Yellow Blue Green Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Green Blue Yellow\nBlack Yellow Blue Green Red Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Red Green Blue Yellow\nBlack Yellow Blue Green Red Orange Yellow Blue Blue Blue Blue Blue Yellow Orange Red Green Blue Yellow\nBlack Yellow Blue Green Red Orange Yellow Blue Green Green Green Blue Yellow Orange Red Green Blue Yellow\nBlack Yellow Blue Green Red Orange Yellow Blue Green Red Green Blue Yellow Orange Red Green Blue Yellow\nBlack Yellow Blue Green Red Orange Yellow Blue Green Green Green Blue Yellow Orange Red Green Blue Yellow\nBlack Yellow Blue Green Red Orange Yellow Blue Blue Blue Blue Blue Yellow Orange Red Green Blue Yellow\nBlack Yellow Blue Green Red Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Red Green Blue Yellow\nBlack Yellow Blue Green Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Green Blue Yellow\nBlack Yellow Blue Green Red Red Red Red Red Red Red Red Red Red Red Green Blue Yellow\nBlack Yellow Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Yellow\nBlack Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Pink Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Green Green Green Blue Black\nBlack Blue Green Red Green Blue Black\nBlack Blue Green Green Green Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Green Green Green Blue Black\nBlack Blue Green Red Green Blue Black\nBlack Blue Green Green Green Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Blue Blue Blue Blue Blue Yellow Black\nBlack Yellow Blue Green Green Green Blue Yellow Black\nBlack Yellow Blue Green Red Green Blue Yellow Black\nBlack Yellow Blue Green Green Green Blue Yellow Black\nBlack Yellow Blue Blue Blue Blue Blue Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Blue Green\nBlack Black Black\nBlack Black Black\n\nOutput:\nGreen Green Green\nGray Gray Gray\nBlue Blue Blue\n\n\nExample 2\nInput:\nGray Red Purple\nBlack Black Black\nBlack Black Black\n\nOutput:\nPurple Purple Purple\nGray Gray Gray\nRed Red Red\n\n\nExample 3\nInput:\nPink Red Brown\nBlack Black Black\nBlack Black Black\n\nOutput:\nBrown Brown Brown\nPink Pink Pink\nRed Red Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Green Blue\nBlack Black Black\nBlack Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue\nYellow Yellow Yellow\nGreen Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Green Green Green\nBlack Black Black Black Black Black 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 Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black 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\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 Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\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 Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Yellow Green Black Green Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Green\nBlack Black Yellow Black Green Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black\nOrange Green Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Orange\nBlack Black Black Black Black Orange Black Yellow Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Green Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Gray Black Blue Black\nBlack Gray Black Black Black Gray Black Black Black Blue\nBlack Black Black Black Blue Blue Black Black Gray Blue\nBlue Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Gray Black Black Black Black Black Orange Gray Black\nBlack Black Black Black Black Black Black Orange Gray Black\nBlack Black Blue Gray Black Black Orange Black Black Black\nBlack Black Gray Black Black Blue Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Purple Black Black Purple Blue\nBlack Black Black Black Black Black Blue Black Black Black\nGray Black Black Black Black Purple Black Purple Black Gray\nBlack Black Blue Black Purple Black Black Black Black Black\nPurple Black Blue Black Black Black Gray Black Blue Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Blue Blue\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Gray Black Black Black Black Black Black Gray Black\nBlack Black Black Black Purple Black Gray Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nPurple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nPurple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Purple Black Black Purple Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Brown Black Black Red Brown\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Brown Brown Purple\nBlack Purple Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Red Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\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 Purple Purple Purple\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 Purple Purple Purple\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 Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Brown Brown Brown Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Purple Red Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Purple Green Black Black Black Black\nBlack Black Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Orange Green Black Black Black Black Black\nBlack Black Black Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Gray Green Black Black Black Black Black Black\nBlack Black Black Yellow Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nPink Pink Red Red Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Pink Green Black Black Black Black Black\nBlack Black Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Pink Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Blue Pink Blue Pink Black Black Black Pink Pink Black\nBlack Pink Pink Blue Pink Black Black Black Pink Pink Black\nBlack Pink Blue Blue Blue Black Black Black Pink Pink Black\nBlack Pink Pink Pink Pink Pink Blue Blue Blue Blue Black\nBlack Blue Blue Pink Pink Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Pink Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Red Red Black Black Red Red Black\nBlack Red Red Red Red Red Black Red Red Red Black\nBlack Black Red Black Red Red Red Black Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Black Red Red Red Black Red Black Black\nBlack Red Red Red Black Red Red Red Red Red Black\nBlack Red Red Black Black Red Red Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Red Red Black Black Red Red\nRed Red Red Red Red Black Red Red Red\nBlack Red Black Red Red Red Black Red Black\nBlack Black Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black\nBlack Red Black Red Red Red Black Red Black\nRed Red Red Black Red Red Red Red Red\nRed Red Black Black Red Red Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Pink Green Green Green Pink Black Black Black\nBlack Gray Red Red Green Black Green Gray Black Black Black\nBlack Red Red Gray Green Black Green Green Green Black Black\nBlack Gray Green Green Green Red Red Red Red Gray Black\nBlack Gray Gray Gray Gray Red Green Pink Red Red Black\nBlack Black Black Black Gray Green Green Green Pink Pink Black\nBlack Black Black Black Black Black Red Green Red Pink Black\nBlack Black Black Black Black Black Pink Pink Gray 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 Red Red Red Red Red Red Black\nRed Red Red Red Black Red Red Black\nRed Red Red Red Black Red Red Red\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red\nBlack Black Black Black Black Red Red Red\nBlack Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple 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\n\nOutput:\nBlack Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Orange Orange Black Orange Orange Orange\nBlack Black Black Black Black Orange Orange Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Black Black Black Orange Orange Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Brown Brown Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Red\nYellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Red\nYellow Yellow Yellow Yellow Green Black Black Black Red Red Red Red Red\nBlack Black Green Green Green Green Green Black Red Black Red Red Red\nBlack Black Green Green Green Green Green Black Black Red Red Red Red\nBlack Black Black Black Green Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Pink Pink Pink\nPurple Black Black Purple Black Black Blue Blue Black Black Pink Pink Pink\nPurple Purple Purple Purple Black Black Black Blue Black Black Pink Pink Pink\nPurple Purple Purple Purple Black Black Blue Blue Black Black Black Pink Black\nPurple Purple Purple Purple Black Blue Blue Blue Blue Black Black Black Black\nPurple Black Black Purple Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Black Black Red Red Red Red Red Blue Blue Blue Blue Black Purple Black Black Purple Black\nYellow Yellow Yellow Black Black Red Red Red Red Red Black Blue Blue Black Black Purple Purple Purple Purple Black\nYellow Green Green Green Green Black Red Red Pink Red Black Black Blue Black Black Purple Purple Purple Purple Black\nBlack Green Green Green Green Black Black Pink Pink Pink Black Blue Blue Black Black Purple Purple Purple Purple Black\nBlack Black Green Black Black Black Black Pink Pink Pink Blue Blue Blue Blue Black Purple Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Gray Black Black Black Black Red Red Red\nBlack Black Black Gray Gray Gray Black Yellow Yellow Black Yellow Yellow\nBlack Black Pink Gray Gray Gray Pink Yellow Yellow Yellow Yellow Yellow\nBlack Black Pink Pink Gray Pink Pink Yellow Yellow Yellow Yellow Yellow\nBlack Purple Purple Purple Purple Purple Black Yellow Yellow Yellow Yellow Yellow\nBlack Purple Purple Purple Purple Purple Black Yellow Yellow Black Yellow Yellow\nBlack Purple Black Black Black 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\n\nOutput:\nBlack Black Black Red Red\nBlack Gray Black Red Red\nGray Gray Yellow Yellow Yellow\nPurple Purple Yellow Yellow Yellow\nPurple Purple Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Black Black Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Orange Black Black Black\nYellow Black Black Yellow Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Green Black Purple Black Purple Purple\nYellow Black Yellow Black Green Green Green Black Purple Purple Purple Purple\nYellow Yellow Yellow Black Black Green Green Black Purple Purple Purple Black\nYellow Yellow Yellow Black Green Green Green Black Purple Black Black Black\nBlack Yellow Black Black Green Green Green Black Purple Black Black Black\n\nOutput:\nYellow Black Black Yellow Black Black Orange Black Black Black Green Green Black Green Black Purple Black Purple Purple Black Yellow Black Black Yellow Black\nYellow Yellow Yellow Yellow Black Orange Orange Black Orange Black Green Green Black Green Black Purple Purple Purple Purple Black Yellow Yellow Black Yellow Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Green Black Green Black Purple Purple Purple Black Black Yellow Yellow Black Yellow Black\nYellow Black Black Yellow Black Black Orange Black Black Black Green Green Black Green Black Purple Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Green 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown Brown Yellow Brown Brown Black\nBlack Black Black Red Red Black Red Black Black Brown Yellow Brown Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Red 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```\nPurple Black Black Purple Black Brown Brown Black Brown Brown Red Red Black Red Black\nPurple Purple Purple Purple Black Brown Brown Yellow Brown Brown Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Purple Purple Black Black Black Brown Yellow Brown Black Red Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Gray Purple Gray Purple\nGray Purple Gray Purple Gray\nPurple Gray Purple Gray Purple\nGray Purple Gray Purple Gray\n\nOutput:\nGray Purple Gray Purple Gray\nPurple Gray Purple Gray Purple\nGray Purple Gray Purple Gray\nPurple Gray Purple Gray Purple\n\n\nExample 2\nInput:\nYellow Purple Yellow Purple Yellow\nPurple Yellow Purple Yellow Purple\nYellow Purple Yellow Purple Yellow\nPurple Yellow Purple Yellow Purple\n\nOutput:\nPurple Yellow Purple Yellow Purple\nYellow Purple Yellow Purple Yellow\nPurple Yellow Purple Yellow Purple\nYellow Purple Yellow Purple Yellow\n\n\nExample 3\nInput:\nBrown Green Brown\nGreen Brown Green\nBrown Green Brown\n\nOutput:\nBrown Blue Brown\nBlue Brown Blue\nBrown Blue Brown\n\n\nHere is the input grid for the test example:\nInput:\nPurple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown\nPurple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Purple Brown Purple Brown\nPurple Brown Purple Brown Purple\nBrown Purple Brown Purple Brown\nPurple Brown Purple Brown 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:\nGray Blue Gray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray Blue Gray\n\nOutput:\nBlack Blue Black Blue Black Blue Black Blue Black\nBlue Black Blue Black Blue Black Blue Black Blue\nBlack Blue Black Blue Black Blue Black Blue Black\nBlue Black Blue Black Blue Black Blue Black Blue\nBlack Blue Black Blue Black Blue Black Blue Black\nBlue Black Blue Black Blue Black Blue Black Blue\nBlack Blue Black Blue Black Blue Black Blue Black\nBlue Black Blue Black Blue Black Blue Black Blue\nBlack Blue Black Blue Black Blue Black Blue Black\n\n\nExample 2\nInput:\nGray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray\nGray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray\nGray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray\n\nOutput:\nBlack Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black\n\n\nExample 3\nInput:\nBrown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown\n\nOutput:\nBlack Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Black Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue\nOrange Black Black Black Black Black Black Black Black Black Black Blue\nOrange Black Black Orange Orange Orange Orange Orange Orange Black Black Blue\nOrange Black Black Orange Orange Orange Orange Orange Orange Black Black Blue\nOrange Black Black Orange Orange Orange Orange Orange Orange Black Black Blue\nOrange Black Black Orange Orange Orange Orange Orange Orange Black Black Blue\nOrange Black Black Black Black Black Black Black Black Black Black Blue\nOrange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black Gray Black Black\nBlack Black Black Gray Black Orange Orange Orange Black Gray Black Black\nBlack Black Black Gray Black Orange Orange Orange Black Gray Black Black\nBlack Black Black Gray Black Orange Orange Orange Black Gray Black Black\nBlack Black Black Gray Black Black Black Black Black Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black\n\n\nExample 2\nInput:\nGray Orange Orange Orange Orange Orange Orange Orange Orange Pink\nGray Black Orange Orange Orange Orange Orange Black Black Pink\nGray Black Orange Orange Orange Orange Orange Black Black Pink\nGray Black Orange Orange Orange Orange Orange Black Black Pink\nGray Black Orange Orange Orange Orange Orange Black Black Pink\nGray Black Black Black Black Black Black Black Black Pink\nGray Purple Purple Purple Purple Purple Purple Purple Purple Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray\nOrange Black Gray Gray Gray Gray Gray Gray Black Black Gray\nOrange Black Gray Gray Gray Gray Gray Gray Black Black Gray\nOrange Black Gray Gray Gray Gray Gray Gray Black Black Gray\nOrange Black Gray Gray Gray Gray Gray Gray Black Black Gray\nOrange Black Black Black Black Black Black Black Black Black Gray\nOrange Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray\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 Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Red Red Red Red Red Red Red Yellow\nPurple Black Black Black Black Black Black Black Yellow\nPurple Black Pink Pink Pink Pink Black Black Yellow\nPurple Black Pink Pink Pink Pink Black Black Yellow\nPurple Black Pink Pink Pink Pink Black Black Yellow\nPurple Black Pink Pink Pink Pink Black Black Yellow\nPurple Black Black Black Black Black Black Black Yellow\nPurple Black Black Black Black Black Black Black Yellow\nPurple Orange Orange Orange Orange Orange Orange Orange Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Yellow Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Green Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Orange Orange Black\nBlack Black Black Orange Orange Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Green Green Black\nBlack Black Black Green Green Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Gray Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Green 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\nBlack Gray Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Black Green Black\nBlack Black Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Yellow Black Brown Black Black Brown Brown Brown Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Blue Red Yellow Black Black Black Black Black\nYellow Brown Black Black Black Black Red Black Yellow Black Blue Black Red Black Black Black Black\nBlack Black Black Blue Yellow Black Black Black Black Red Black Black Black Black Black Black Black\nBlue Black Black Black Black Blue Red Black Yellow Black Black Red Brown Black Brown Black Black\nBlack Black Black Black Black Yellow Red Blue Black Black Black Black Red Red Red Black Red\nBlue Black Red Black Red Brown Black Black Blue Yellow Black Black Black Black Blue Black Brown\nBrown Black Black Black Black Black Black Red Black Black Black Red Black Black Black Brown Black\nBlack Black Black Black Black Black Blue Black Brown Black Red Black Yellow Black Blue Black Black\nBrown Brown Black Brown Blue Black Black Blue Black Black Black Black Red Red Black Black Black\nBlack Yellow Black Blue Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Yellow Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Orange Brown Black Black Black Black Black Black Brown\nBlack Purple Black Purple Black Black Black Brown Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Brown Black Brown Black Black Orange Black Orange\nBlack Blue Black Black Black Black Brown Black Black Black Black Black Black Brown Black\nBlue Black Black Black Black Black Orange Black Black Black Black Brown Black Black Brown\nBlack Brown Purple Black Purple Black Black Black Purple Blue Purple Black Black Black Black\nBlack Black Black Black Black Black Black Brown Orange Black Black Black Blue Purple Black\nBlack Black Purple Black Blue Orange Black Purple Black Black Black Orange Black Blue Black\nBlue Black Black Black Brown Black Black Purple Black Black Black Black Black Brown Black\nBlack Black Orange Black Black Black Black Black Black Black Orange Brown Black Black Orange\nBrown Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue\nBlue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Brown\nBlack Black Black Black Brown Black Black Brown Black Black Orange Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Orange 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 Brown Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Yellow Black Black Yellow Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Black Black Brown Black Black Yellow Black\nBrown Yellow Black Brown Black Green Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Green\nBlack Black Black Black Black Black Black Black Brown Black Black Green Black Black\nBlack Black Black Green Black Black Yellow Black Green Black Black Black Black Black\nBlack 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 Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black 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 Orange Black Black Black Black Orange Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black 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 Orange Black Black Black Orange Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nOrange Black Black Black Black Black Black Black Black Purple Black\nBlack Orange Orange Orange Black Black Orange Orange Orange Black Black\nBlack Orange Orange Orange Black Black Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nGray Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Purple Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nGray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBrown Black Black Black Black Green Black\nBlack Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Black Black\nBlack Black Black Brown Brown Black Black\nBlack Black Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Black Black\nBlack Brown Brown Brown Black Black Black\nOrange Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBrown Black Black Black Black Green Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nOrange Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Pink Pink Black Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Black Pink Pink Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nRed Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nBlue Black Black Black Black Black Black Black Pink Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nRed Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Purple Black\nBlack Black Purple Black Black Black\nBlack Purple Purple Purple Black Black\nBlack Purple Purple Purple Black Black\nBlack Purple Purple Purple Black Black\nBlack Black Purple Black Black Black\nBlack Black Purple Black Black Black\nGreen Black Black Black Blue Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Purple Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nGreen Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink 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:\nGray Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Red Black Black Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Orange\n\nOutput:\nOrange Black Black Black Black Black Black Orange\nBlack Orange Black Black Black Black Purple Black\nBlack Black Orange Black Black Green Black Black\nBlack Black Black Orange Blue Black Black Black\nBlack Black Black Blue Orange Black Black Black\nBlack Black Green Black Black Orange Black Black\nBlack Purple Black Black Black Black Orange Black\nOrange Black Black Black Black Black Black Orange\n\n\nExample 2\nInput:\nOrange Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black\nBlack Black Gray Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Green Black\nBlack Black Black Black Black Black Brown\n\nOutput:\nBrown Black Black Black Black Black Brown\nBlack Brown Black Black Black Green Black\nBlack Black Brown Black Red Black Black\nBlack Black Black Brown Black Black Black\nBlack Black Red Black Brown Black Black\nBlack Green Black Black Black Brown Black\nBrown Black Black Black Black Black Brown\n\n\nExample 3\nInput:\nPink Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Purple Black Black\n\nOutput:\nPink Black Purple Black Black Black Purple Black Pink\nBlack Pink Black Green Black Green Black Blue Black\nBlack Black Pink Black Red Black Orange Black Black\nBlack Black Black Pink Black Gray Black Black Black\nBlack Black Orange Black Pink Black Orange Black Black\nBlack Blue Black Green Black Pink Black Blue Black\nPink Black Purple Black Black Black Pink Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black Gray Black\nBlack Black Pink Black Black Black Red Black Black\nBlack Black Black Pink Black Purple Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Purple Black Pink Black Black Black\nBlack Black Red Black Black Black Pink Black Black\nBlack Gray Black Black Black Black Black Pink Black\nPink Black Black Black Black Black Black Black Pink\n```",
"role": "assistant"
}
] |
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