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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:\nOrange Black Black Black Black Black Black Purple\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nPink Black Black Black Black Black Black Red\n\nOutput:\nOrange Black Black Black Black Black Black Purple\nBlack Yellow Yellow Black Black Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nPink Black Black Black Black Black Black Red\n\n\nExample 2\nInput:\nBlue Black Black Black Black Pink\nBlack Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black\nBlack Gray Gray Gray Black Black\nGray Black Black Black Black Purple\n\nOutput:\nBlue Black Black Black Black Pink\nBlack Black Gray Gray Black Black\nBlack Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black\nGray Black Black Black Black Purple\n\n\nExample 3\nInput:\nPink Black Black Black Black Black Black Purple\nBlack Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black Black\nGray Black Black Black Black Black Black Orange\n\nOutput:\nPink Black Black Pink Black Black Black Purple\nBlack Black Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black Black\nGray Black Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Blue\nBlack Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black\nOrange Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Blue Black Black Black Black Blue\nBlack Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Black Black\nBlack Blue Black Black Black Black Black\nOrange Black Black Black Black Black Red\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Red Blue Blue Black Green Red Blue Blue Green Yellow\nGreen Black Yellow Black Red Green Green Black Red Black Yellow Blue\nRed Black Red Black Yellow Blue Blue Blue Blue Red Blue Green\nBlue Blue Green Black Yellow Yellow Black Blue Blue Black Yellow Black\nBlack Green Yellow Yellow Yellow Blue Red Green Red Black Black Blue\nBlack Green Blue Green Yellow Red Red Green Blue Red Yellow Black\nBlue Yellow Yellow Green Green Green Red Green Blue Blue Red Green\nRed Yellow Blue Red Red Red Black Red Blue Red Red Yellow\n\nOutput:\nBlack Blue Red Blue Blue Black Green Blue Blue Blue Green Yellow\nGreen Black Yellow Black Blue Green Green Black Red Black Yellow Blue\nBlue Black Blue Black Yellow Blue Blue Blue Blue Red Blue Green\nBlue Blue Green Black Yellow Yellow Black Blue Blue Black Yellow Black\nBlack Green Yellow Yellow Yellow Blue Blue Green Blue Black Black Blue\nBlack Green Blue Green Yellow Blue Blue Green Blue Red Yellow Black\nBlue Yellow Yellow Green Green Green Blue Green Blue Blue Blue Green\nRed Yellow Blue Blue Blue Blue Black Blue Blue Red Red Yellow\n\n\nExample 2\nInput:\nGreen Black Red Blue Red Blue Yellow Red Green Blue\nBlue Red Black Red Green Red Green Red Red Black\nBlue Blue Blue Red Red Red Yellow Yellow Red Black\nYellow Red Yellow Black Yellow Yellow Blue Blue Yellow Green\nGreen Black Yellow Black Green Red Yellow Green Blue Red\nRed Green Yellow Black Green Green Blue Green Yellow Black\nGreen Yellow Green Green Black Red Red Red Black Black\n\nOutput:\nGreen Black Red Blue Blue Blue Yellow Blue Green Blue\nBlue Red Black Blue Green Blue Green Blue Blue Black\nBlue Blue Blue Red Blue Red Yellow Yellow Red Black\nYellow Red Yellow Black Yellow Yellow Blue Blue Yellow Green\nGreen Black Yellow Black Green Blue Yellow Green Blue Blue\nBlue Green Yellow Black Green Green Blue Green Yellow Black\nGreen Yellow Green Green Black Blue Red Blue Black Black\n\n\nExample 3\nInput:\nBlack Red Blue Black Green Green Blue Yellow Yellow Red Black\nRed Red Red Blue Black Blue Blue Yellow Red Green Green\nBlack Yellow Black Green Green Yellow Yellow Green Black Yellow Blue\nGreen Black Blue Black Red Blue Red Yellow Black Red Green\nBlack Blue Blue Red Green Black Green Black Red Yellow Red\nBlack Red Yellow Green Yellow Red Red Yellow Blue Red Black\nBlack Blue Red Black Blue Blue Red Red Yellow Red Yellow\n\nOutput:\nBlack Red Blue Black Green Green Blue Yellow Yellow Blue Black\nRed Red Red Blue Black Blue Blue Yellow Blue Green Green\nBlack Yellow Black Green Green Yellow Yellow Green Black Yellow Blue\nGreen Black Blue Black Blue Blue Blue Yellow Black Blue Green\nBlack Blue Blue Blue Green Black Green Black Red Yellow Blue\nBlack Red Yellow Green Yellow Red Blue Yellow Blue Red Black\nBlack Blue Red Black Blue Blue Red Red Yellow Red Yellow\n\n\nHere is the input grid for the test example:\nInput:\nRed Blue Yellow Black Red Blue Black Green Black\nRed Blue Red Red Yellow Red Black Black Red\nGreen Green Red Green Red Black Yellow Green Red\nBlue Black Red Green Green Yellow Red Green Red\nYellow Green Red Red Red Blue Red Blue Green\nRed Yellow Black Red Red Red Red Green Green\nGreen Red Green Blue Green Black Black Yellow Black\nGreen Blue Yellow Black Red Green Green Yellow Green\nBlack Yellow Green Blue Yellow Red Red Blue 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```\nRed Blue Yellow Black Red Blue Black Green Black\nBlue Blue Red Blue Yellow Red Black Black Red\nGreen Green Blue Green Blue Black Yellow Green Blue\nBlue Black Blue Green Green Yellow Blue Green Blue\nYellow Green Blue Blue Blue Blue Red Blue Green\nBlue Yellow Black Red Blue Red Blue Green Green\nGreen Blue Green Blue Green Black Black Yellow Black\nGreen Blue Yellow Black Blue Green Green Yellow Green\nBlack Yellow Green Blue Yellow Blue Blue Blue Green\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
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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 Pink Black Black Pink Black Pink Pink\nBlack Pink Pink Pink Pink Black Pink Pink\nBlack Pink Pink Gray Black Pink Pink Pink\nPink Black Pink Pink Pink Pink Black Pink\nPink Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Black Black\nPink Black Black Pink Pink Pink Pink Black\nPink Pink Black Black Black Pink Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black\nBlack Black Pink Gray Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Black Black Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Yellow Black Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Black\nYellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Gray Yellow\nBlack Yellow Yellow Yellow 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 Yellow Yellow Yellow\nBlack Black Black Black Yellow Gray Yellow\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Brown Black Black Brown Black Brown Brown Brown\nBlack Brown Brown Brown Gray Brown Brown Black Brown\nBlack Black Brown Black Brown Brown Black Black Black\nBrown Brown Black Brown Black Brown Black Brown Black\nBrown Brown Brown Brown Black Black Brown Black Black\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Brown\n\nOutput:\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Brown Gray Brown Black Black Black\nBlack Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Black Pink Pink Black Pink Black Pink\nPink Pink Pink Pink Black Black Black Pink Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Gray Black Pink Pink\nPink Pink Pink Pink Pink Black Black Pink Black\nPink Pink Pink Pink Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Pink Gray Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated 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\nRed Red Red Black Yellow Yellow Yellow Black Black\nRed Red Red Black Yellow Yellow Yellow Black Black\nRed Red Red Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Red Red Red\nYellow Yellow Yellow Black Black Black Red Red Red\nYellow Yellow Yellow Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Blue Blue\nBlack Black Blue Blue Blue\nBlack Black Blue Blue Blue\nBlack Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlue Blue Blue Black Black\nBlue Blue Blue Black Black\nBlue Blue Blue Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\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 Black Black Black Black\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Pink Black\nBlue Blue Blue Black Black\nYellow Red Red Red Red\nRed Red Red Red Red\nBlack Red Red Red Red\nBlack Red Red Red Red\n\nOutput:\nBlue Blue Blue Pink Red\nBlue Blue Blue Red Red\nYellow Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\n\n\nExample 2\nInput:\nOrange Black Yellow Pink Black Black Black\nBlack Black Black Black Black Black Black\nPurple Pink Black Green Black Black Black\nGray Pink Pink Pink Black Black Black\nBlue Pink Pink Pink Black Gray Black\nBlack Pink Pink Pink Purple Pink Green\nBlack Orange Black Pink Pink Pink Pink\nBlack Black Brown Pink Pink Pink Pink\n\nOutput:\nOrange Pink Yellow Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPurple Pink Pink Green Pink Pink Pink\nGray Pink Pink Pink Pink Pink Pink\nBlue Pink Pink Pink Pink Gray Pink\nPink Pink Pink Pink Purple Pink Green\nPink Orange Pink Pink Pink Pink Pink\nPink Pink Brown Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Red Red Red Red\nBlack Red Red Red Red\nBlack Red Red Red Red\nBlack Red Red Red Red\nBlack Gray Brown Brown Brown\nBlack Red Brown Brown Brown\n\nOutput:\nBrown Red Red Red Red\nBrown Red Red Red Red\nBrown Red Red Red Red\nBrown Red Red Red Red\nBrown Gray Brown Brown Brown\nBrown Red Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black\nBlack Black Black Gray Black\nYellow Yellow Black Gray Black\nYellow Yellow Purple Purple Purple\nBlue Black Purple Purple Purple\nBlack Pink Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple\nPurple Purple Purple Gray Purple\nYellow Yellow Purple Gray Purple\nYellow Yellow Purple Purple Purple\nBlue Purple Purple Purple Purple\nPurple Pink Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink 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 Orange Black Black Black Black\nBlack Black Black Orange Orange Black Black Black\nBlack Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Black Black Black\nBlack Black Black Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange 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:\nPink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nPink Black Black Pink Pink Black Black Black\nPink Black Black Black Pink Black Black Black\nPink Black Black Black Pink Black Black Black\nPink Black Black Pink Pink Black Black Black\nPink Pink Pink Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Orange Black Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Black Orange Orange 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:\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlue Black Blue Blue Black Black Black\nBlue Black Black Blue 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:\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Black Black Yellow Black Black Yellow\nYellow Black Black Yellow Black Black Yellow\nYellow Black Black Yellow Black Black Yellow\nYellow Black Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Pink Black Pink Pink\nBlack Black Black Black Black Black Black Pink 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```\nGray Black Gray Gray Gray Black Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Black Gray Gray Gray Black Gray Gray\nBlack Black Black Gray Black Black Black Gray Black\nBlack Black Gray Gray Gray Black Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Black Gray Gray Gray Black Gray Gray\nBlack Black Black Gray Black Black Black Gray 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 Black Black Black Black Black Black Yellow\nBlack Black Black Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Black Black Black\nBrown Black Black Black Black Black Black Red\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Black Black Black Black Black Gray\nBlack Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Black Black\nPurple Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black\nBlack Orange Orange Black Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPink Black Black Black Black Black Orange\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Black Green Green Green Black Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlue Black Black Black Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Pink Pink Pink Black Pink Pink\nBlack Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Pink Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Blue\nBlack Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Black Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Black Brown Black Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Brown Brown Black Brown Brown Black Black\nBrown Black Black Black Black Black Black Black Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Yellow Black Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Purple\nBlack Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Purple Black Purple Black\nBlack Black Black Purple Black Black Black Purple\nBlack Black Purple Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Orange Black Black Black Black Black Orange\nBlack Black Orange Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Black\nBlack Black Black Black Gray Black Black Black Black Black Gray\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Pink\nBlack Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Pink Black Black Black Pink\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Red Red Red\nRed Blue Black Black Black Black Red\nRed Blue Blue Black Blue Blue Red\nRed Blue Blue Blue Blue Black Red\nRed Blue Black Black Black Black Red\nRed Red Red Red Red Red Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nRed Red Red Red Red Red\nRed Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Black Red\nRed Yellow Yellow Yellow Black Red\nRed Yellow Yellow Yellow Black Red\nRed Yellow Yellow Yellow Yellow Red\nRed Red Red Red Red Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Yellow Yellow Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Yellow Black Blue Blue\nBlue Blue Yellow Yellow Yellow Black Blue Blue\nBlue Blue Yellow Yellow Yellow Black Blue Blue\nBlue Blue Yellow Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red\nRed Pink Blue Blue Blue Blue Red\nRed Blue Pink Pink Pink Pink Red\nRed Pink Pink Blue Blue Black Red\nRed Blue Blue Black Blue Black Red\nRed Black Black Black Blue Black Red\nRed Red Red Red Red Red Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Pink Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Pink Blue Blue\nBlue Blue Pink Pink Blue Blue Black Blue Blue\nBlue Blue Blue Blue Black Blue Black Blue Blue\nBlue Blue Black Black Black Blue Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red\nRed Green Green Green Red\nRed Green Black Black Red\nRed Green Green Green Red\nRed Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Green Green Green Blue Blue\nBlue Blue Green Black Black Blue Blue\nBlue Blue Green Green Green Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Purple Black Black Black Black Black Black\nBlack Black Green Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Blue Brown Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Purple Black Black Black Black Black Black\nBlack Black Green Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Blue Brown Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Blue Brown Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Purple Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Black Orange Pink Black Blue Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Blue Purple\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Blue Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Orange Pink Black Blue Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Blue Purple\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Blue Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Purple\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Orange Pink Black Blue Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Blue Black Black Black Black Black Red Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Blue Black Black Black Black Black Red Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown 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 Gray Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nGray Black Brown Black Black Purple Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nGray Black Brown Black Black Purple Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Pink\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Pink\nGray Black Brown Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Blue\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 Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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```\nBlue Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black Blue Gray Gray Purple Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Pink Pink Brown Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Brown Black Black Pink Pink Orange Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange 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 Purple Black Black Black Black Yellow Pink Pink Brown Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Gray Gray Purple Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Purple Black Black Gray Gray Orange Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Yellow Yellow Blue 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 Red Red Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nYellow Blue Blue Blue Black Black Black Black Black Black Black Red Red Orange Orange\nYellow Blue Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nYellow Blue Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Blue Yellow 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 Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlue Yellow Yellow Yellow Black Black Black Black Black Black Black Green Green Orange Orange\nBlue Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlue Yellow Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Orange Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black\nYellow Black Black Black Pink Red Red Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Orange Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Purple Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Orange Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black\nBlue Black Black Black Gray Green Green Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Orange Orange Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Brown Brown 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 Gray Gray Gray Gray 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 Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Blue Black Black Pink Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Yellow Black Black Gray Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow 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 Yellow Yellow 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 Yellow Yellow 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 Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\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 Orange 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 Orange Orange Orange\nBlack Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black\nGray Gray Gray Black Black Black Black\nGray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Pink Pink Pink Green Green Green Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Pink Pink Pink Green Green Green Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Pink Pink Pink Green Green Green Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Gray Gray Gray Black Black Black Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Red Red Red Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Red Red Red Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Red Red Red Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray\nBrown Brown Brown Orange Orange Orange Purple Purple Purple Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBrown Brown Brown Orange Orange Orange Purple Purple Purple Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBrown Brown Brown Orange Orange Orange Purple Purple Purple Orange Orange Orange Brown Brown Brown Green Green Green Green Green Green Yellow Yellow Yellow Gray Gray Gray Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green Gray Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green Gray Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Green Green Green Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Brown Brown Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Gray Gray Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Gray Gray Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Yellow Brown Brown Yellow Blue Blue Brown Yellow Brown Brown Blue\nYellow Blue Blue Blue Yellow Brown Yellow Brown Brown Yellow Yellow Brown\nBlue Blue Blue Blue Yellow Brown Brown Blue Yellow Blue Brown Blue\nYellow Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nYellow Brown Blue Blue Blue Blue Blue Yellow Yellow Brown Blue Brown\nYellow Brown Yellow Yellow Blue Yellow Yellow Yellow Brown Blue Brown Blue\nYellow Brown Blue Blue Brown Blue Brown Blue Blue Yellow Blue Blue\nBrown Yellow Yellow Brown Blue Blue Blue Yellow Blue Blue Yellow Yellow\n\nOutput:\nGreen Yellow Green Yellow Green Yellow Green Yellow Green Yellow Green Yellow\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nGreen Yellow Green Yellow Green Yellow Green Yellow Green Yellow Green Yellow\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nGreen Yellow Green Yellow Green Yellow Green Yellow Green Yellow Green Yellow\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nGreen Yellow Green Yellow Green Yellow Green Yellow Green Yellow Green Yellow\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\n\n\nExample 2\nInput:\nPurple Green Purple Purple Orange Orange Purple Purple Orange Purple\nOrange Orange Green Orange Green Purple Orange Orange Green Orange\nGreen Orange Orange Purple Green Purple Orange Purple Green Green\nOrange Purple Purple Purple Purple Orange Purple Purple Purple Orange\nGreen Purple Green Purple Orange Green Green Green Purple Purple\nGreen Green Green Green Green Orange Orange Green Orange Purple\nGreen Orange Green Green Orange Purple Orange Purple Green Purple\n\nOutput:\nBlue Red Blue Red Blue Red Blue Red Blue Red\nGreen Yellow Green Yellow Green Yellow Green Yellow Green Yellow\nBlue Red Blue Red Blue Red Blue Red Blue Red\nGreen Yellow Green Yellow Green Yellow Green Yellow Green Yellow\nBlue Red Blue Red Blue Red Blue Red Blue Red\nGreen Yellow Green Yellow Green Yellow Green Yellow Green Yellow\nBlue Red Blue Red Blue Red Blue Red Blue Red\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nYellow Green Yellow Green Yellow Green Yellow Green Yellow Green Yellow\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nYellow Green Yellow Green Yellow Green Yellow Green Yellow Green Yellow\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nYellow Green Yellow Green Yellow Green Yellow Green Yellow Green Yellow\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Red Red Brown Brown Brown\nRed Red Brown Red Red Red Red Red Brown\nBrown Red Red Red Red Brown Brown Red Red\nRed Brown Brown Brown Red Brown Brown Brown Brown\nRed Brown Red Red Brown Brown Brown Brown Red\nRed Red Brown Brown Red Red Brown Brown Brown\nBrown Brown Red Brown Brown Red Brown Red Brown\nRed Brown Brown Red Brown Red Red Red Brown\nRed Red Brown Brown Red Red Brown Red Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Blue Red Blue Red Blue Red Blue Red\nYellow Green Yellow Green Yellow Green Yellow Green Yellow\nRed Blue Red Blue Red Blue Red Blue Red\nYellow Green Yellow Green Yellow Green Yellow Green Yellow\nRed Blue Red Blue Red Blue Red Blue Red\nYellow Green Yellow Green Yellow Green Yellow Green Yellow\nRed Blue Red Blue Red Blue Red Blue Red\nYellow Green Yellow Green Yellow Green Yellow Green Yellow\nRed Blue Red Blue Red Blue Red Blue Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Gray Pink Gray Black Black Black Black Black Black\nPink Blue Purple Brown Orange Gray Orange Black Black Black\nBlack Black Pink Yellow Brown Orange Orange Black Black Black\nBlack Black Black Black Green Green Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Brown Gray Brown Black Black Black Black Black Black\nGray Red Orange Gray Purple Brown Purple Black Black Black\nBlack Black Gray Green Gray Purple Purple Black Black Black\nBlack Black Black Black Yellow Yellow Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Blue Orange Black Gray Brown\nBlack Black Black Black Black Black Black Black Purple Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Orange Black Purple Purple Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Pink Green Black Black Black Black\nBlack Black Black Red Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Purple Black Brown Gray\nBlack Black Black Black Black Black Black Black Orange Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Purple Black Orange Orange Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Gray Yellow Black Black Black Black\nBlack Black Black Blue Red 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\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 Purple Pink Black Black Black Black Black\nBlack Purple Black Gray Orange Black Black Black Black Black\nBlack Blue Yellow Black Black Black Black Black Pink Purple\nBlack Pink Yellow Black Black Black Black Black Orange Blue\nBlack Black Brown Black Black Black Black Black Green Red\nBlack Black Black Red Gray Orange Black Black Black Black\nBlack Black Black Green Brown Blue Black Black Black Black\nBlack Black Black Blue Purple Green 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 Orange Gray Black Black Black Black Black\nBlack Orange Black Brown Purple Black Black Black Black Black\nBlack Red Green Black Black Black Black Black Gray Orange\nBlack Gray Green Black Black Black Black Black Purple Red\nBlack Black Gray Black Black Black Black Black Yellow Blue\nBlack Black Black Blue Brown Purple Black Black Black Black\nBlack Black Black Yellow Gray Red Black Black Black Black\nBlack Black Black Red Orange Yellow Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Gray Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Pink Black Black Black Black Black Black\nBlack Black Blue Brown Black Brown Black Black Black Black\nBlack Black Gray Brown Black Pink 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 Brown Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Gray Black Black Black Black Black Black\nBlack Black Red Gray Black Gray Black Black Black Black\nBlack Black Brown Gray Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink 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 Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Black Black Black\nBlue Blue Blue Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Orange Orange Orange Black Black Black Red Red Red Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Red Red Red Orange Orange Orange Black Black Black Red Red Red Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Red Red Red Orange Orange Orange Black Black Black Red Red Red Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Orange Orange Orange Blue Blue Blue\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Orange Orange Orange Blue Blue Blue\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Orange Orange Orange Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nPink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Black Black Black Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Black Black Black Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Purple Purple Purple Pink Pink Pink Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Purple Purple Purple Pink Pink Pink Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Purple Purple Purple Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow 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 Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 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 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 Black Black Black\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 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 Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Orange Orange Orange Brown Brown Brown Pink Pink Pink Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Brown Brown Brown Pink Pink Pink Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Brown Brown Brown Pink Pink Pink Blue Blue Blue Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Purple Purple Purple Blue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Purple Purple Purple Blue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Purple Purple Purple Blue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\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 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Yellow Yellow Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Blue 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 Blue Blue Purple Purple Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Black Green Green Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Red 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 Red Red Black Black\nBlack Black Black Black Black Brown Brown Black Black\nBlack Blue Blue Pink Red Pink Green Black Black\nBlack Gray Black Pink Pink Pink Gray Blue Black\nBlack Pink Purple Green Green Gray Gray Blue Black\nBlack Brown Blue Blue Green Purple Purple Purple Black\nBlack Red Yellow Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Red Brown Pink Gray Blue Black Black Black\nBlack Yellow Blue Purple Black Blue Black Black Black\nBlack Black Blue Green Pink Pink Black Black Black\nBlack Black Green Green Pink Red Black Black Black\nBlack Black Purple Gray Pink Pink Brown Red Black\nBlack Purple Purple Gray Gray Green Brown Red Black\nBlack Black Purple Blue Blue 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\nBlack Black Black Yellow Yellow\nBlack Black Yellow Yellow Black\nBlack Purple Yellow Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Purple Black Black Black\nBlack Yellow Yellow Black Black\nBlack Black Yellow Yellow Black\nBlack Black Black Yellow Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Green Blue Blue Green Green Blue Green\nGreen Green Red Blue Blue Red Green Green\nBlue Green Green Red Green Red Green Green\nRed Blue Green Red Green Red Blue Blue\nBlue Green Blue Blue Red Blue Red Green\nRed Blue Blue Green Green Green Green Green\nRed Blue Green Green Green Green Green Green\nRed Red Red Red Red Blue Green Red\n\nOutput:\nRed Green Red Red Green Green Red Green\nRed Red Blue Green Green Blue Red Red\nRed Red Blue Red Blue Red Red Green\nGreen Green Blue Red Blue Red Green Blue\nRed Blue Green Blue Green Green Red Green\nRed Red Red Red Red Green Green Blue\nRed Red Red Red Red Red Green Blue\nBlue Red Green Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nGreen Blue Green Green Red Green Blue Green\nBlue Red Red Blue Red Green Blue Red\nBlue Blue Red Red Red Red Red Green\nGreen Red Red Red Blue Green Red Green\nRed Blue Green Green Green Blue Green Green\nGreen Green Blue Red Red Green Blue Green\nRed Green Blue Blue Red Blue Red Blue\nBlue Green Red Blue Red Blue Blue Green\n\nOutput:\nRed Green Red Blue Red Red Green Red\nBlue Green Red Blue Green Blue Blue Green\nRed Blue Blue Blue Blue Blue Green Green\nRed Blue Red Green Blue Blue Blue Red\nRed Red Green Red Red Red Green Blue\nRed Green Red Blue Blue Green Red Red\nGreen Blue Green Blue Green Green Red Blue\nRed Green Green Blue Green Blue Red Green\n\n\nExample 3\nInput:\nGreen Green Red Red Green Blue Blue Blue\nBlue Red Green Red Green Blue Green Red\nBlue Blue Blue Red Blue Green Green Green\nRed Green Red Red Blue Red Green Green\nRed Blue Blue Blue Blue Blue Green Blue\nGreen Red Blue Blue Green Red Blue Red\nRed Red Blue Green Blue Red Red Blue\nGreen Red Blue Green Red Red Red Blue\n\nOutput:\nGreen Green Green Red Blue Blue Red Red\nBlue Red Green Red Blue Red Blue Green\nRed Red Red Green Blue Green Green Green\nRed Red Blue Green Blue Blue Red Blue\nGreen Red Green Green Green Green Green Blue\nBlue Green Blue Red Green Green Blue Red\nGreen Blue Blue Green Red Green Blue Blue\nGreen Blue Blue Blue Red Green Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Blue Blue Red Blue Red Green\nBlue Red Red Green Red Red Blue Red\nBlue Red Blue Red Red Blue Green Blue\nBlue Blue Red Green Red Green Green Blue\nBlue Red Red Blue Red Blue Blue Blue\nBlue Red Blue Green Red Green Green Green\nRed Green Blue Blue Red Green Red Green\nRed Green Green Red Green Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Blue Green Blue Green Green Blue Blue\nBlue Green Blue Blue Red Blue Blue Green\nGreen Red Green Blue Blue Green Blue Green\nGreen Red Red Blue Red Blue Green Green\nGreen Green Green Blue Green Blue Blue Green\nRed Red Red Blue Red Green Blue Green\nRed Blue Red Blue Green Green Red Blue\nGreen Green Green Red Blue Red Red Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Gray Gray Gray Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Gray Gray Gray Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Gray Gray Gray Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Gray Gray Gray Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Gray Gray Gray Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Gray Gray Gray Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\nGray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Pink Pink Pink Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\nPink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Purple Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Purple Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Blue Orange Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Yellow Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Blue Orange Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Yellow Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Orange Blue Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Black Black Black Black Blue\nBlack Blue Blue Blue Blue Blue Black Blue Black Black Black Black Blue\nBlack Blue Black Black Black Blue Black Blue Blue Blue Blue Blue Blue\nBlack Blue Black Black Black Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Blue Black Blue Black Black Black Blue Black\nBlack Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Yellow\nBlack Yellow Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Black Blue Black Black Black Blue Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Yellow Black Black Black Black Black Black Black Black Black\nBlack Green Pink 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\nRed Red Red Red Green Green Green Green Black Black Black Black\nRed Red Red Red Green Green Green Green Black Black Black Black\nRed Red Red Red Green Green Green Green Black Black Black Black\nRed Red Red Red Green Green Green Green Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Green Black\nBlack Black Black Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Yellow Black\nBlack Black Green Green Green Green Red Red Red Red Black\nBlack Black Green Green Green Green Red Red Red Red Black\nBlack Black Green Green Green Green Red Red Red Red Black\nBlack Black Green Green Green Green Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Red Black Black Black\nBlack Black Black Black Black Black Green Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Black Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Black Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Black Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Black Black Black\nRed Red Red Red Pink Pink Pink Pink Black Black Black\nRed Red Red Red Pink Pink Pink Pink Black Black Black\nRed Red Red Red Pink Pink Pink Pink Black Black Black\nRed Red Red Red Pink Pink Pink Pink 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 Yellow Pink Black Black Black\nBlack Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Black Black\nPink Pink Pink Pink Red Red Red Red Black Black\nPink Pink Pink Pink Red Red Red Red Black Black\nPink Pink Pink Pink Red Red Red Red Black Black\nPink Pink Pink Pink Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Red Gray Orange\nBlack Black Black Black Black Black Black Black Black Green Green Orange Orange\nBlack Black Purple Black Blue Purple Black Black Black Black Black Orange Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Pink Black\nBlack Black Black Blue Blue Blue Purple Purple Purple Purple Black Black Black\nBlack Black Purple Blue Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Red Gray Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Purple Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Purple Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Pink Blue Blue Pink Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Gray Yellow Black Gray Black Black\nBlack Blue Blue Blue Blue Black Black Blue Blue Yellow Black Black\nBlack Purple Purple Purple Purple Black Yellow Blue Blue Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Gray Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Green Purple Purple Green Black Black Black\n\nOutput:\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Pink Blue Blue Pink Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Gray Yellow Black Gray Black Black\nBlack Blue Blue Blue Blue Black Black Blue Blue Yellow Black Black\nBlack Purple Purple Purple Purple Black Yellow Blue Blue Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Gray Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Green Purple Purple Green Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow\nOrange Blue Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow\nOrange Blue Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Gray Gray Gray Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange\nGray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black\nYellow Yellow Yellow Orange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Orange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Orange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Gray Gray Gray\nYellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Gray Gray Gray\nYellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Gray Gray Gray\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black\nYellow Yellow Yellow Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Gray Gray Gray Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Gray Gray Gray Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Gray Gray Gray Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nGray Gray Gray Black Black Black Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Black Black Black Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Black Black Black Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Blue Blue Blue Black Black Black Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Black Black Black Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Black Black Black Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Blue Blue Blue Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBlack Black Black Blue Blue Blue Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBlack Black Black Blue Blue Blue Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray\n\n\nExample 2\nInput:\nGray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Gray Gray Gray\nBlack Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Gray Gray Gray\nBlack Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\n\n\nExample 3\nInput:\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange\nGray Gray Gray Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Gray Gray Gray Black Black Black Orange Orange Orange Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Black Black Black Orange Orange Orange Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Black Black Black Orange Orange Orange Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nGray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nGray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange\nGray Gray Gray Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Orange Orange Yellow Yellow Yellow\nGray Gray Gray Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Orange Orange Yellow Yellow Yellow\nGray Gray Gray Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Black Black Black Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Gray Gray Gray Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Gray Gray Gray Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Gray Gray Gray Orange Orange Orange Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Red Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Yellow Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Blue Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Blue Blue Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Blue Blue Blue Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Blue Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Yellow Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Brown Brown Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Black Black\nBlack Black Pink Pink Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Black Black\nBlack Black Pink Pink Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Black Black\nBlack Black Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black\nBlack Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Green Purple Black Black Black\nBlack Black Black Red Green Green Red Black Black Black\nBlack Black Black Green Purple Purple Purple Black Black Black\nBlack Black Black Green Green 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\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Yellow Brown Black Black Black\nBlack Black Black Blue Yellow Yellow Blue Black Black Black\nBlack Black Black Yellow Brown Brown Brown Black Black Black\nBlack Black Black Yellow Yellow Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Purple Black Black\nBlack Black Black Red Purple Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Brown Black Black\nBlack Black Black Blue Brown Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\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 Purple Red Purple Black Black Black\nBlack Green Green Red Black Black Black\nBlack Purple Green Green Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Brown Blue Brown Black Black Black\nBlack Yellow Yellow Blue Black Black Black\nBlack Brown Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Green Red Purple Red Black Black\nBlack Black Red Red Green Purple Green Black Black\nBlack Black Green Red Green Red Green Black Black\nBlack Black Red Red Purple Red Red Black Black\nBlack Black Red Green Red Purple Green 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 Yellow Yellow Blue Brown Blue Black Black\nBlack Black Blue Blue Yellow Brown Yellow Black Black\nBlack Black Yellow Blue Yellow Blue Yellow Black Black\nBlack Black Blue Blue Brown Blue Blue Black Black\nBlack Black Blue Yellow Blue Brown Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Pink 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\nGray Pink 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\nGray 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 Brown Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Brown Black Black Black Black Black Black Black\nBrown Brown Brown Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Brown Yellow\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\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow\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 Gray\nBlack Gray Gray Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow\nYellow Yellow Gray 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow\nYellow Yellow Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown\nBlack Black Black Black Black Yellow Brown\nBlack Black Black Black Black Yellow Brown\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Brown Black\nBlack Black Black Brown Yellow Yellow Black\nBlack Black Black Yellow Brown Brown Black\nBlack 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```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black\nBlack Black Black Brown Black Black Black\nBlack Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Purple Gray Purple Blue\nYellow Yellow Blue Blue Gray\nPurple Blue Brown Gray Yellow\nPurple Purple Gray Yellow Purple\nGray Purple Purple Blue Yellow\n\nOutput:\nYellow Purple Gray Purple Gray\nYellow Yellow Blue Blue Gray\nPurple Blue Brown Gray Yellow\nPurple Purple Gray Yellow Purple\nBlue Purple Purple Blue Gray\n\n\nExample 2\nInput:\nPink Gray Gray Pink Pink\nOrange Gray Orange Gray Gray\nGray Gray Green Orange Orange\nPurple Pink Gray Pink Orange\nPurple Purple Purple Purple Pink\n\nOutput:\nPink Gray Gray Pink Purple\nOrange Gray Orange Gray Gray\nGray Gray Green Orange Orange\nPurple Pink Gray Pink Orange\nPink Purple Purple Purple Pink\n\n\nExample 3\nInput:\nPink Blue Blue Yellow Blue\nBlue Green Blue Blue Green\nPink Pink Gray Yellow Yellow\nPink Green Pink Green Blue\nPink Green Blue Pink Blue\n\nOutput:\nBlue Blue Blue Yellow Pink\nBlue Green Blue Blue Green\nPink Pink Gray Yellow Yellow\nPink Green Pink Green Blue\nBlue Green Blue Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Brown Gray Blue Blue\nBrown Blue Blue Blue Blue\nBrown Brown Red Purple Blue\nBrown Gray Blue Gray Purple\nGray Brown Gray Gray Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Gray Blue Gray\nBrown Blue Blue Blue Blue\nBrown Brown Red Purple Blue\nBrown Gray Blue Gray Purple\nBlue Brown Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow\nYellow Brown Yellow\nYellow Yellow Yellow\n\nOutput:\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nGreen Green Green\nGreen Orange Green\nGreen Green Green\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\n\n\nExample 3\nInput:\nGreen Green Green\nGreen Purple Green\nGreen Green Green\n\nOutput:\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray\nGray Pink Gray\nGray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Purple Purple Black Black Black Black Black Black Brown Brown Brown\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Purple Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Pink Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Red Red Black Yellow Yellow Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlue Blue Blue Black Black Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Red Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green 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\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Pink Pink Black Black Black\nBrown Brown Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Pink Pink Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nGray Black Gray Black Gray Black Gray Black Gray\nGray Black Gray Black Gray Black Black Black Gray\nGray Black Gray Black Gray Black Black Black Gray\nGray Black Gray Black Gray Black Black Black Gray\nGray Black Gray Black Gray Black Black Black Black\nGray Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Green Black Red Black Gray Black Yellow\nBlue Black Green Black Red Black Black Black Yellow\nBlue Black Green Black Red Black Black Black Yellow\nBlue Black Green Black Red Black Black Black Yellow\nBlue Black Green Black Red Black Black Black Black\nBlue Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Black Gray Black Gray Black Gray Black Gray\nGray Black Gray Black Gray Black Gray Black Gray\nBlack Black Gray Black Gray Black Gray Black Gray\nBlack Black Gray Black Gray Black Gray Black Black\nBlack Black Gray Black Gray 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\n\nOutput:\nGray Black Blue Black Red Black Green Black Yellow\nGray Black Blue Black Red Black Green Black Yellow\nBlack Black Blue Black Red Black Green Black Yellow\nBlack Black Blue Black Red Black Green Black Black\nBlack Black Blue Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Black Gray Black Gray Black Gray Black Gray\nGray Black Black Black Gray Black Gray Black Gray\nGray Black Black Black Gray Black Gray Black Gray\nGray Black Black Black Gray Black Black Black Gray\nBlack Black Black Black Gray Black Black Black Gray\nBlack Black Black Black Gray 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\n\nOutput:\nGreen Black Gray Black Red Black Yellow Black Blue\nGreen Black Black Black Red Black Yellow Black Blue\nGreen Black Black Black Red Black Yellow Black Blue\nGreen Black Black Black Red Black Black Black Blue\nBlack Black Black Black Red Black Black Black Blue\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Gray Black Gray Black Gray Black Gray\nGray Black Gray Black Gray Black Black Black Gray\nGray Black Gray Black Gray Black Black Black Black\nGray Black Gray Black Gray Black Black Black Black\nGray Black Gray Black Gray Black Black Black Black\nGray Black Gray Black Black Black Black Black Black\nGray Black Gray Black Black Black Black Black Black\nBlack Black Gray 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```\nBlue Black Red Black Green Black Gray Black Yellow\nBlue Black Red Black Green Black Black Black Yellow\nBlue Black Red Black Green Black Black Black Black\nBlue Black Red Black Green Black Black Black Black\nBlue Black Red Black Green Black Black Black Black\nBlue Black Red Black Black Black Black Black Black\nBlue Black Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Orange Orange Green Green Green Green Green Green Blue Blue Orange Orange\nPink Pink Pink Pink Orange Orange Green Green Green Green Green Green Blue Blue Orange Orange\nYellow Yellow Yellow Yellow Orange Orange Green Green Pink Pink Green Green Orange Orange Yellow Yellow\nYellow Yellow Yellow Yellow Orange Orange Green Green Pink Pink Green Green Orange Orange Yellow Yellow\nPink Pink Orange Orange Red Red Orange Orange Red Red Orange Orange Yellow Yellow Green Green\nPink Pink Orange Orange Red Red Orange Orange Red Red Orange Orange Yellow Yellow Green Green\nGreen Green Green Green Green Green Pink Pink Red Red Green Green Blue Blue Blue Blue\nGreen Green Green Green Green Green Pink Pink Red Red Green Green Blue Blue Blue Blue\nOrange Orange Yellow Yellow Orange Orange Pink Pink Red Red Blue Blue Pink Pink Blue Blue\nOrange Orange Yellow Yellow Orange Orange Pink Pink Red Red Blue Blue Pink Pink Blue Blue\nPink Pink Pink Pink Orange Orange Red Red Pink Pink Orange Orange Yellow Yellow Green Green\nPink Pink Pink Pink Orange Orange Red Red Pink Pink Orange Orange Yellow Yellow Green Green\nOrange Orange Green Green Red Red Green Green Pink Pink Green Green Orange Orange Blue Blue\nOrange Orange Green Green Red Red Green Green Pink Pink Green Green Orange Orange Blue Blue\nPink Pink Red Red Green Green Pink Pink Green Green Blue Blue Yellow Yellow Pink Pink\nPink Pink Red Red Green Green Pink Pink Green Green Blue Blue Yellow Yellow Pink Pink\n\nOutput:\nOrange Orange Blue Blue Green Green Green Green Green Green Orange Orange Pink Pink Pink Pink\nOrange Orange Blue Blue Green Green Green Green Green Green Orange Orange Pink Pink Pink Pink\nYellow Yellow Orange Orange Green Green Pink Pink Green Green Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Orange Orange Green Green Pink Pink Green Green Orange Orange Yellow Yellow Yellow Yellow\nGreen Green Yellow Yellow Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Pink Pink\nGreen Green Yellow Yellow Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Pink Pink\nBlue Blue Blue Blue Green Green Blue Blue Pink Pink Green Green Green Green Green Green\nBlue Blue Blue Blue Green Green Blue Blue Pink Pink Green Green Green Green Green Green\nBlue Blue Pink Pink Blue Blue Blue Blue Pink Pink Orange Orange Yellow Yellow Orange Orange\nBlue Blue Pink Pink Blue Blue Blue Blue Pink Pink Orange Orange Yellow Yellow Orange Orange\nGreen Green Yellow Yellow Orange Orange Pink Pink Blue Blue Orange Orange Pink Pink Pink Pink\nGreen Green Yellow Yellow Orange Orange Pink Pink Blue Blue Orange Orange Pink Pink Pink Pink\nBlue Blue Orange Orange Green Green Pink Pink Green Green Blue Blue Green Green Orange Orange\nBlue Blue Orange Orange Green Green Pink Pink Green Green Blue Blue Green Green Orange Orange\nPink Pink Yellow Yellow Blue Blue Green Green Pink Pink Green Green Blue Blue Pink Pink\nPink Pink Yellow Yellow Blue Blue Green Green Pink Pink Green Green Blue Blue Pink Pink\n\n\nExample 2\nInput:\nGreen Green Red Red Yellow Yellow Pink Pink Red Red Yellow Yellow Orange Orange\nGreen Green Red Red Yellow Yellow Pink Pink Red Red Yellow Yellow Orange Orange\nYellow Yellow Pink Pink Yellow Yellow Green Green Green Green Yellow Yellow Blue Blue\nYellow Yellow Pink Pink Yellow Yellow Green Green Green Green Yellow Yellow Blue Blue\nGreen Green Green Green Green Green Pink Pink Red Red Red Red Pink Pink\nGreen Green Green Green Green Green Pink Pink Red Red Red Red Pink Pink\nRed Red Yellow Yellow Yellow Yellow Red Red Orange Orange Green Green Red Red\nRed Red Yellow Yellow Yellow Yellow Red Red Orange Orange Green Green Red Red\nOrange Orange Red Red Orange Orange Red Red Blue Blue Pink Pink Red Red\nOrange Orange Red Red Orange Orange Red Red Blue Blue Pink Pink Red Red\nBlue Blue Orange Orange Blue Blue Orange Orange Red Red Pink Pink Green Green\nBlue Blue Orange Orange Blue Blue Orange Orange Red Red Pink Pink Green Green\nBlue Blue Green Green Yellow Yellow Red Red Yellow Yellow Green Green Pink Pink\nBlue Blue Green Green Yellow Yellow Red Red Yellow Yellow Green Green Pink Pink\n\nOutput:\nOrange Orange Yellow Yellow Blue Blue Pink Pink Yellow Yellow Blue Blue Green Green\nOrange Orange Yellow Yellow Blue Blue Pink Pink Yellow Yellow Blue Blue Green Green\nBlue Blue Yellow Yellow Green Green Green Green Yellow Yellow Pink Pink Yellow Yellow\nBlue Blue Yellow Yellow Green Green Green Green Yellow Yellow Pink Pink Yellow Yellow\nPink Pink Blue Blue Blue Blue Pink Pink Green Green Green Green Green Green\nPink Pink Blue Blue Blue Blue Pink Pink Green Green Green Green Green Green\nBlue Blue Green Green Orange Orange Red Red Yellow Yellow Yellow Yellow Blue Blue\nBlue Blue Green Green Orange Orange Red Red Yellow Yellow Yellow Yellow Blue Blue\nBlue Blue Pink Pink Blue Blue Red Red Orange Orange Blue Blue Orange Orange\nBlue Blue Pink Pink Blue Blue Red Red Orange Orange Blue Blue Orange Orange\nGreen Green Pink Pink Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue\nGreen Green Pink Pink Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue\nPink Pink Green Green Yellow Yellow Red Red Yellow Yellow Green Green Blue Blue\nPink Pink Green Green Yellow Yellow Red Red Yellow Yellow Green Green Blue Blue\n\n\nExample 3\nInput:\nRed Red Yellow Yellow Orange Orange Red Red Blue Blue Orange Orange Pink Pink\nRed Red Yellow Yellow Orange Orange Red Red Blue Blue Orange Orange Pink Pink\nYellow Yellow Pink Pink Orange Orange Pink Pink Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Pink Pink Orange Orange Pink Pink Blue Blue Blue Blue Yellow Yellow\nPink Pink Pink Pink Yellow Yellow Blue Blue Orange Orange Yellow Yellow Green Green\nPink Pink Pink Pink Yellow Yellow Blue Blue Orange Orange Yellow Yellow Green Green\nRed Red Pink Pink Red Red Red Red Green Green Orange Orange Green Green\nRed Red Pink Pink Red Red Red Red Green Green Orange Orange Green Green\nGreen Green Yellow Yellow Pink Pink Red Red Blue Blue Blue Blue Pink Pink\nGreen Green Yellow Yellow Pink Pink Red Red Blue Blue Blue Blue Pink Pink\nOrange Orange Pink Pink Red Red Green Green Orange Orange Blue Blue Pink Pink\nOrange Orange Pink Pink Red Red Green Green Orange Orange Blue Blue Pink Pink\nBlue Blue Pink Pink Green Green Yellow Yellow Yellow Yellow Red Red Orange Orange\nBlue Blue Pink Pink Green Green Yellow Yellow Yellow Yellow Red Red Orange Orange\n\nOutput:\nPink Pink Orange Orange Blue Blue Red Red Orange Orange Yellow Yellow Blue Blue\nPink Pink Orange Orange Blue Blue Red Red Orange Orange Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Blue Blue Pink Pink Orange Orange Pink Pink Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Pink Pink Orange Orange Pink Pink Yellow Yellow\nGreen Green Yellow Yellow Orange Orange Blue Blue Yellow Yellow Pink Pink Pink Pink\nGreen Green Yellow Yellow Orange Orange Blue Blue Yellow Yellow Pink Pink Pink Pink\nGreen Green Orange Orange Green Green Red Red Blue Blue Pink Pink Blue Blue\nGreen Green Orange Orange Green Green Red Red Blue Blue Pink Pink Blue Blue\nPink Pink Blue Blue Blue Blue Red Red Pink Pink Yellow Yellow Green Green\nPink Pink Blue Blue Blue Blue Red Red Pink Pink Yellow Yellow Green Green\nPink Pink Blue Blue Orange Orange Green Green Blue Blue Pink Pink Orange Orange\nPink Pink Blue Blue Orange Orange Green Green Blue Blue Pink Pink Orange Orange\nOrange Orange Blue Blue Yellow Yellow Yellow Yellow Green Green Pink Pink Blue Blue\nOrange Orange Blue Blue Yellow Yellow Yellow Yellow Green Green Pink Pink Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Red Red Blue Blue Green Green Blue Blue Orange Orange Orange Orange Yellow Yellow Orange Orange\nBlue Blue Red Red Blue Blue Green Green Blue Blue Orange Orange Orange Orange Yellow Yellow Orange Orange\nRed Red Yellow Yellow Orange Orange Pink Pink Red Red Yellow Yellow Pink Pink Pink Pink Red Red\nRed Red Yellow Yellow Orange Orange Pink Pink Red Red Yellow Yellow Pink Pink Pink Pink Red Red\nRed Red Blue Blue Blue Blue Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Green Green\nRed Red Blue Blue Blue Blue Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Green Green\nRed Red Green Green Orange Orange Green Green Orange Orange Pink Pink Blue Blue Orange Orange Green Green\nRed Red Green Green Orange Orange Green Green Orange Orange Pink Pink Blue Blue Orange Orange Green Green\nYellow Yellow Red Red Blue Blue Red Red Blue Blue Blue Blue Pink Pink Pink Pink Orange Orange\nYellow Yellow Red Red Blue Blue Red Red Blue Blue Blue Blue Pink Pink Pink Pink Orange Orange\nBlue Blue Red Red Orange Orange Yellow Yellow Blue Blue Pink Pink Red Red Yellow Yellow Green Green\nBlue Blue Red Red Orange Orange Yellow Yellow Blue Blue Pink Pink Red Red Yellow Yellow Green Green\nRed Red Pink Pink Pink Pink Pink Pink Pink Pink Red Red Yellow Yellow Red Red Pink Pink\nRed Red Pink Pink Pink Pink Pink Pink Pink Pink Red Red Yellow Yellow Red Red Pink Pink\nOrange Orange Pink Pink Orange Orange Pink Pink Red Red Red Red Green Green Yellow Yellow Orange Orange\nOrange Orange Pink Pink Orange Orange Pink Pink Red Red Red Red Green Green Yellow Yellow Orange Orange\nRed Red Pink Pink Green Green Orange Orange Blue Blue Orange Orange Pink Pink Pink Pink Orange Orange\nRed Red Pink Pink Green Green Orange Orange Blue Blue Orange Orange Pink Pink Pink Pink Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Yellow Yellow Orange Orange Orange Orange Blue Blue Green Green Blue Blue Blue Blue Blue Blue\nOrange Orange Yellow Yellow Orange Orange Orange Orange Blue Blue Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Pink Pink Pink Pink Yellow Yellow Red Red Pink Pink Orange Orange Yellow Yellow Blue Blue\nBlue Blue Pink Pink Pink Pink Yellow Yellow Red Red Pink Pink Orange Orange Yellow Yellow Blue Blue\nGreen Green Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue\nGreen Green Yellow Yellow Blue Blue Green Green Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue\nGreen Green Orange Orange Blue Blue Pink Pink Orange Orange Green Green Orange Orange Green Green Blue Blue\nGreen Green Orange Orange Blue Blue Pink Pink Orange Orange Green Green Orange Orange Green Green Blue Blue\nOrange Orange Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nOrange Orange Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nGreen Green Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Orange Orange Blue Blue Blue Blue\nGreen Green Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Orange Orange Blue Blue Blue Blue\nPink Pink Blue Blue Yellow Yellow Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nPink Pink Blue Blue Yellow Yellow Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nOrange Orange Yellow Yellow Green Green Blue Blue Red Red Pink Pink Orange Orange Pink Pink Orange Orange\nOrange Orange Yellow Yellow Green Green Blue Blue Red Red Pink Pink Orange Orange Pink Pink Orange Orange\nOrange Orange Pink Pink Pink Pink Orange Orange Blue Blue Orange Orange Green Green Pink Pink Blue Blue\nOrange Orange Pink Pink Pink Pink Orange Orange Blue Blue Orange Orange Green Green Pink Pink Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Black Purple\nPurple Purple Purple Black Purple Purple Purple Black\nPurple Purple Purple Purple Purple Black Purple Black\nBlack Black Orange Orange Black Black Black Black\nPurple Purple Orange Orange Purple Purple Purple Purple\nPurple Black Purple Black Black Black Purple Purple\nPurple Black Purple Black Purple Purple Purple Purple\nBlack Purple Purple Purple Black Black Black Purple\nPurple Black Black Purple Purple Purple Purple Black\nPurple Black Purple Black Purple Black Purple Black\nBlack Black Purple Black Black Black Purple Purple\nBlack Black Black Black Black Black Purple Purple\n\nOutput:\nPurple Black Black Black Black Black Black Purple\nYellow Yellow Yellow Black Purple Purple Purple Black\nYellow Yellow Yellow Purple Purple Black Purple Black\nBlack Black Yellow Yellow Black Black Black Black\nPurple Purple Yellow Yellow Purple Purple Yellow Yellow\nPurple Black Purple Black Black Black Yellow Yellow\nPurple Black Purple Black Purple Purple Yellow Yellow\nBlack Purple Purple Purple Black Black Black Purple\nPurple Black Black Purple Purple Purple Purple Black\nPurple Black Purple Black Purple Black Purple Black\nYellow Yellow Purple Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Purple Purple Purple Purple Black\nPurple Purple Purple Black Purple Black Purple\nPurple Purple Black Purple Black Black Purple\nBlack Purple Black Black Black Purple Purple\nPurple Purple Purple Black Purple Black Purple\nPurple Black Black Black Purple Black Black\nRed Red Purple Purple Purple Black Purple\nRed Red Black Pink Pink Purple Black\nPurple Black Purple Pink Pink Purple Black\nBlack Black Black Purple Purple Purple Purple\n\nOutput:\nBlack Black Purple Purple Purple Purple Black\nYellow Yellow Purple Black Purple Black Purple\nYellow Yellow Black Purple Black Black Purple\nBlack Purple Black Black Black Purple Purple\nPurple Purple Purple Black Purple Black Purple\nPurple Black Black Black Purple Black Black\nYellow Yellow Purple Purple Purple Black Purple\nYellow Yellow Black Yellow Yellow Purple Black\nPurple Black Purple Yellow Yellow Purple Black\nBlack Black Black Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Pink Pink Pink Black Black\nBlack Pink Black Pink Pink Pink Black\nPink Pink Gray Gray Black Pink Black\nPink Black Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black\nPink Pink Black Black Pink Pink Black\nPink Black Black Pink Black Pink Black\nPink Pink Pink Black Black Black Pink\nBlack Black Pink Black Pink Black Black\nBlack Black Black Black Black Pink Black\nPink Black Pink Pink Pink Black Pink\n\nOutput:\nBlack Black Pink Yellow Yellow Black Black\nBlack Pink Black Yellow Yellow Pink Black\nPink Pink Yellow Yellow Black Pink Black\nPink Black Yellow Yellow Yellow Yellow Pink\nYellow Yellow Pink Pink Yellow Yellow Black\nYellow Yellow Black Black Yellow Yellow Black\nPink Black Black Pink Black Pink Black\nPink Pink Pink Black Black Black Pink\nYellow Yellow Pink Black Pink Black Black\nYellow Yellow Black Black Black Pink Black\nPink Black Pink Pink Pink Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Orange Black Orange Orange Orange Orange Black\nBlack Orange Black Orange Orange Orange Orange Black Black\nOrange Orange Black Black Black Black Black Orange Orange\nBlack Orange Orange Black Orange Orange Orange Black Black\nBlack Black Orange Orange Black Orange Black Black Orange\nOrange Orange Black Pink Pink Black Black Orange Orange\nOrange Orange Orange Pink Pink Orange Orange Orange Black\nBlack Orange Orange Black Orange Orange Orange Black Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Orange Black Yellow Yellow Yellow Orange Black\nBlack Orange Black Orange Yellow Yellow Yellow Black Black\nOrange Orange Black Black Black Black Black Orange Orange\nBlack Orange Orange Black Orange Orange Orange Black Black\nBlack Black Orange Orange Black Orange Black Black Orange\nYellow Yellow Black Yellow Yellow Black Black Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Black\nBlack Yellow Yellow Black Yellow Yellow Yellow Black Orange\nBlack Black Black Orange Yellow Yellow Yellow Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Gray Gray Pink Orange\nBlack Red Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Red Black\nOrange Pink Gray Gray Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Pink Pink Black\nBlack Black Pink Pink Black\nBlack Black Pink Pink Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Pink Pink Black Black\nBlack Pink Pink Black Black\nBlack Pink Pink Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Blue Black Black Black\nBlack Blue Red Purple Black\nBlack Blue Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Blue Black\nBlack Purple Red Blue Black\nBlack Black Black Blue Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Orange Black\nBlack Black Black Orange Black\nBlack Green Blue Blue Black\nBlack Black Black Blue Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Blue Black Black Black\nBlack Blue Blue Green Black\nBlack Orange Black Black Black\nBlack Orange Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Orange Red Orange Orange Black Orange Orange\nBlack Red Orange Orange Black Orange Orange Orange\nOrange Black Orange Orange Red Black Red Orange\nBlack Orange Black Red Orange Orange Black Orange\nOrange Orange Red Orange Pink Orange Orange Black\nOrange Pink Black Pink Orange Red Orange Red\nOrange Black Pink Black Red Black Red Orange\nBlack Pink Black Orange Black Orange Black Orange\nOrange Black Red Orange Pink Orange Red Black\nOrange Orange Orange Pink Black Orange Orange Orange\n\nOutput:\nPink Black Pink Black Black Orange Black Black\nOrange Pink Black Black Orange Black Black Black\nBlack Orange Black Black Pink Orange Pink Black\nOrange Black Orange Pink Black Black Orange Black\nBlack Black Pink Black Orange Black Black Orange\nBlack Orange Orange Orange Black Pink Black Pink\nBlack Orange Orange Orange Pink Orange Pink Black\nOrange Orange Orange Black Orange Black Orange Black\nBlack Orange Pink Black Orange Black Pink Orange\nBlack Black Black Orange Orange Black Black Black\n\n\nExample 2\nInput:\nOrange Red Orange Pink Orange Orange Black Pink Black Pink\nOrange Orange Pink Black Red Black Pink Orange Red Orange\nOrange Orange Black Orange Orange Orange Orange Red Orange Red\nPink Black Red Black Red Orange Orange Black Orange Orange\nBlack Red Black Red Black Orange Black Red Orange Red\nRed Orange Red Black Pink Black Pink Orange Red Orange\nBlack Orange Orange Red Orange Orange Orange Orange Orange Red\n\nOutput:\nBlack Pink Black Orange Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Pink Orange Orange Black Pink Black\nBlack Black Orange Black Black Black Black Pink Black Pink\nOrange Orange Pink Orange Pink Black Black Orange Black Black\nOrange Pink Orange Pink Orange Black Orange Pink Black Pink\nPink Black Pink Orange Orange Orange Orange Black Pink Black\nOrange Black Black Pink Black Black Black Black Black Pink\n\n\nExample 3\nInput:\nOrange Orange Orange Pink Black Red Orange Orange Black\nPink Orange Pink Black Red Orange Red Black Red\nOrange Pink Orange Pink Orange Orange Orange Orange Black\nRed Black Pink Black Orange Black Red Orange Pink\nBlack Pink Orange Orange Black Orange Black Orange Orange\nOrange Orange Pink Orange Orange Black Pink Orange Pink\nBlack Orange Orange Pink Orange Pink Black Orange Black\n\nOutput:\nBlack Black Black Orange Orange Pink Black Black Orange\nOrange Black Orange Orange Pink Black Pink Orange Pink\nBlack Orange Black Orange Black Black Black Black Orange\nPink Orange Orange Orange Black Orange Pink Black Orange\nOrange Orange Black Black Orange Black Orange Black Black\nBlack Black Orange Black Black Orange Orange Black Orange\nOrange Black Black Orange Black Orange Orange Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Orange Red Orange Red Orange Red Black\nRed Black Pink Orange Pink Orange Red Orange Orange\nOrange Red Black Red Black Red Orange Orange Black\nOrange Black Orange Orange Orange Black Red Black Pink\nBlack Pink Black Pink Orange Pink Orange Red Orange\nRed Black Red Black Orange Orange Pink Orange Red\nBlack Red Orange Pink Black Pink Orange Pink Orange\nOrange Black Red Orange Red Orange Pink Black Pink\nOrange Pink Black Pink Black Orange Orange Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Black Pink Black Pink Black Pink Orange\nPink Orange Orange Black Orange Black Pink Black Black\nBlack Pink Orange Pink Orange Pink Black Black Orange\nBlack Orange Black Black Black Orange Pink Orange Orange\nOrange Orange Orange Orange Black Orange Black Pink Black\nPink Orange Pink Orange Black Black Orange Black Pink\nOrange Pink Black Orange Orange Orange Black Orange Black\nBlack Orange Pink Black Pink Black Orange Orange Orange\nBlack Orange Orange Orange Orange Black Black Pink Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Pink Pink Brown Black Black\nBlack Black Black Black Blue Black Black Black Pink Black Black Black Black\nBlack Black Blue Red Brown Black Black Black Brown Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Blue Black Black Black\nBlack Black Black Orange Orange Black Orange Black Black Gray Black Black Black\nBlack Black Black Black Orange Black Black Black Black Gray Black Black Black\nBlack Black Black Orange Orange Black Black Black Purple Purple Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Blue Orange Black Purple Purple Purple Blue Black Black Black Black Black\nGray Orange Orange Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Blue Black Black Black Gray Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Gray Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Purple Black Black Black\nBlack Black Black Orange Orange Black Orange Black Black Purple Black Black Black\nBlack Black Black Black Orange Black Black Black Black Purple Black Black Black\nBlack Black Black Orange Orange Black Black Black Purple Purple Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack 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\nGray Gray Gray Black Purple Purple Purple Purple Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Green Gray Blue Black Black Red Black Black Black Black Black\nBlack Green Gray Blue Black Black Black Black Black Gray Blue Blue\nBlack Black Black Black Black Black Black Yellow Black Gray Black Black\nBlack Yellow Yellow Yellow Black Black Black Yellow Black Black Black Black\nBlack Blue Blue Blue Black Orange Black Yellow Black Black Black Black\nBlack Black Black Black Black Orange Black Blue Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Red Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Green Green Green Black Black Red Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Yellow Black Green Black Black\nBlack Green Green Green Black Black Black Yellow Black Black Black Black\nBlack Green Green Green Black Orange Black Yellow Black Black Black Black\nBlack Black Black Black Black Orange Black Yellow Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Red Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Purple Red Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Blue Black Black Black Black\nBlack Black Black Black Purple Orange Red Black Black Black Black Black\nBlack Black Black Black Purple Orange Red Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Blue Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Green Red Orange\nBlack Pink Black Black Black Black Black Black Black Blue Red Black\nBlack Pink Black Orange Red Black Black Black Black Blue Red Black\nBlack Pink Black Red Red Black Black Black Black Green Red Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Red Red Black Black Black\nBlack Black Black Black Black Black Black Orange 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\nBlue Blue Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Green Green Green\nBlack Pink Black Black Black Black Black Black Black Green Green Black\nBlack Pink Black Orange Orange Black Black Black Black Green Green Black\nBlack Pink Black Orange Orange Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Blue Orange Blue Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black\nPink Pink Pink Pink Black Green Yellow Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nPink Pink Pink Pink Black Green Green Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Green Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Brown Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\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 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 Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Blue Blue Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Blue Blue Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Blue Blue Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Blue Blue Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Brown Brown Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Brown Brown Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Green Green Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Green Green Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Brown Brown Red Red Black Black Black Black Red Red Brown Brown Red Red Black Black Black Black\nRed Red Brown Brown Red Red Black Black Black Black Red Red Brown Brown Red Red Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Blue Blue Black Black Green Green Green Green Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Green Green Green Green Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black\nPink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Blue Blue Pink Pink Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Red Red Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Red Red Gray Gray Gray Gray Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Orange Orange Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Orange Orange Brown Brown Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Gray Gray Blue Blue Gray Gray Black Black Black Black Green Green Orange Orange Brown Brown Black Black\nBlack Black Gray Gray Blue Blue Gray Gray Black Black Black Black Green Green Orange Orange Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Orange Orange Green Green Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Gray Gray Blue Blue Gray Gray Black Black Black Black Brown Brown Orange Orange Green Green Black Black\nBlack Black Gray Gray Blue Blue Gray Gray Black Black Black Black Brown Brown Orange Orange Green Green Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Gray Pink Orange\nBlack Black Black Purple Yellow Purple\nBlack Black Black Brown Pink Yellow\n\nOutput:\nYellow Pink Brown Brown Pink Yellow\nPurple Yellow Purple Purple Yellow Purple\nOrange Pink Gray Gray Pink Orange\nOrange Pink Gray Gray Pink Orange\nPurple Yellow Purple Purple Yellow Purple\nYellow Pink Brown Brown Pink Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Blue Red Orange\nBlack Black Black Pink Blue Pink\nBlack Black Black Green Yellow Green\n\nOutput:\nGreen Yellow Green Green Yellow Green\nPink Blue Pink Pink Blue Pink\nOrange Red Blue Blue Red Orange\nOrange Red Blue Blue Red Orange\nPink Blue Pink Pink Blue Pink\nGreen Yellow Green Green Yellow Green\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 Black Blue Yellow Gray\nBlack Black Black Green Yellow Orange\nBlack Black Black Red Brown Green\n\nOutput:\nGreen Brown Red Red Brown Green\nOrange Yellow Green Green Yellow Orange\nGray Yellow Blue Blue Yellow Gray\nGray Yellow Blue Blue Yellow Gray\nOrange Yellow Green Green Yellow Orange\nGreen Brown Red Red Brown Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Brown Pink Pink\nBlack Black Black Gray Green Gray\nBlack Black Black Brown Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Brown Brown Gray Gray\nGray Green Gray Gray Green Gray\nPink Pink Brown Brown Pink Pink\nPink Pink Brown Brown Pink Pink\nGray Green Gray Gray Green Gray\nGray Gray Brown Brown Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Green Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Blue Blue Blue Black\nBlack Blue Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Green Green Black Black Black\nBlack Green Green Black Black Black\nBlack Green Green Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Blue Blue Black Black Black\nBlack Blue Blue Black Black Black\nBlack Blue Blue Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Green Green Green 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 Blue Blue Blue 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 Green Black Black\nBlack Green 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 Blue Black Black\nBlack Blue Black Black\nBlack Black Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Pink Pink Black\nBlack Black Black Purple Black Black Purple Black Black Black Pink Black Black\nBlack Black Black Purple Black Black Purple Black Black Black Pink Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Pink Pink Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Pink Black\nBlack Black Brown Black Black Brown Brown Pink Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Pink Pink Pink Black Black Black\nBlack Black Brown Black Black Brown Brown Black Pink Pink Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Green Black Black Black Green Green Black\nBlack Black Black Green Green Green Green Black Black Black Green Black Black\nBlack Black Black Green Green Green Green Black Black Black Green Black Black\nBlack Black Black Green Green Green Green Black Black Black Green Green Black\nBlack Black Green Green Green Green Green Black Black Black Black Green Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Red Black Black Black Black\nBlack Yellow Black Black Yellow Yellow Black Red Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Red Red Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Red Black Black Black\nBlack Blue Black Black Black Blue Black Black Red Red Black Black\nBlack Blue Black Black Black Blue Black Black Red Red Black Black\nBlack Black Blue Blue Blue Blue 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 Green Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Green Black Black Black Black\nBlack Green Green Green Green Green Black Green Black Black Black Black\nBlack Black Green Green Green Black Black Green Green Black Black Black\nBlack Black Green Green Green Green Black Black Green Black Black Black\nBlack Green Green Green Green Green Black Black Green Green Black Black\nBlack Green Green Green Green Green Black Black Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Red Red Red Red Red Red Black Yellow Black Black\nBlack Black Red Black Black Black Black Red Black Black Purple Black\nBlack Black Red Red Red Black Black Red Black Black Purple Black\nBlack Green Green Green Green Red Black Red Purple Black Purple Black\nBlack Green Black Black Green Red Black Red Purple Purple Purple Black\nBlack Green Black Black Green Red Red Red Black Purple Black Black\nBlack Green Green Green Green 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 Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Green Green Green Green Green Green Black Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Black\nBlack Black Red Red Red Green Green Green Black Black Green Black\nBlack Green Green Green Green Red Green Green Green Black Green Black\nBlack Green Black Black Green Red Green Green Green Green Green Black\nBlack Green Black Black Green Red Green Green Black Green Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Gray Black Brown Brown Brown Brown Brown Black\nBlack Black Black Gray Gray Gray Gray Black Brown Brown Brown Black Black Black\nBlack Black Black Gray Black Black Gray Black Brown Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Green Black Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nPink Brown Brown Brown Brown Pink\nGreen Orange Gray Gray Orange Green\nRed Red Brown Brown Red Red\nBlue Gray Purple Purple Gray Blue\nYellow Blue Blue Blue Blue Yellow\n\nOutput:\nYellow Blue Red Green Pink\nBlue Gray Red Orange Brown\nBlue Purple Brown Gray Brown\nBlue Purple Brown Gray Brown\nBlue Gray Red Orange Brown\nYellow Blue Red Green Pink\n\n\nExample 2\nInput:\nBlue Pink Purple Purple Pink Blue\nGreen Gray Green Green Gray Green\nRed Orange Orange Orange Orange Red\nYellow Pink Yellow Yellow Pink Yellow\nYellow Purple Purple Purple Purple Yellow\nBrown Orange Blue Blue Orange Brown\n\nOutput:\nBrown Yellow Yellow Red Green Blue\nOrange Purple Pink Orange Gray Pink\nBlue Purple Yellow Orange Green Purple\nBlue Purple Yellow Orange Green Purple\nOrange Purple Pink Orange Gray Pink\nBrown Yellow Yellow Red Green Blue\n\n\nExample 3\nInput:\nYellow Green Black Green Yellow\nPurple Orange Black Orange Purple\nGreen Red Black Red Green\nBlue Yellow Black Yellow Blue\nBlue Pink Black Pink Blue\nGreen Yellow Black Yellow Green\nBrown Gray Black Gray Brown\n\nOutput:\nBrown Green Blue Blue Green Purple Yellow\nGray Yellow Pink Yellow Red Orange Green\nBlack Black Black Black Black Black Black\nGray Yellow Pink Yellow Red Orange Green\nBrown Green Blue Blue Green Purple Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPurple Brown Black Brown Purple\nPink Brown Black Brown Pink\nYellow Brown Black Brown Yellow\nPurple Red Black Red Purple\nPink Yellow Black Yellow Pink\nBrown Pink Black Pink Brown\nPink Yellow Black Yellow 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 Brown Pink Purple Yellow Pink Purple\nYellow Pink Yellow Red Brown Brown Brown\nBlack Black Black Black Black Black Black\nYellow Pink Yellow Red Brown Brown Brown\nPink Brown Pink Purple Yellow Pink Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black\nOrange 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 Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nOrange 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 Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Black Purple Black Black Purple Black Purple\nPurple Black Black Black Purple Black Black Purple Purple Purple Purple\nPurple Purple Black Purple Purple Purple Purple Black Purple Black Black\nBlack Purple Black Purple Purple Black Purple Black Purple Purple Purple\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Black Purple Black Gray Gray Gray Gray Gray Gray\nPurple Purple Black Purple Purple Gray Gray Gray Gray Gray Gray\nPurple Black Black Black Purple Gray Gray Gray Gray Gray Gray\nBlack Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Black Purple Black Black Purple Black Purple\nPurple Black Black Black Purple Black Black Purple Purple Purple Purple\nPurple Purple Black Purple Purple Purple Purple Black Purple Black Black\nBlack Purple Black Purple Purple Black Purple Black Purple Purple Purple\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Orange Orange Orange Black Orange Orange Orange\nOrange Black Orange Black Orange Orange Orange Orange\nOrange Orange Black Black Orange Orange Black Orange\nBlack Orange Black Orange Black Orange Orange Black\nOrange Orange Black Black Orange Orange Orange Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Orange Orange Gray Gray Gray Gray\nOrange Black Orange Black Gray Gray Gray Gray\nBlack Black Orange Orange Gray Gray Gray Gray\nBlack Orange Black Orange Gray Gray Gray Gray\nOrange Orange Orange Black Gray Gray Gray Gray\nBlack Orange Orange Orange Black Orange Orange Orange\nOrange Black Orange Black Orange Orange Orange Orange\nOrange Orange Black Black Orange Orange Black Orange\nBlack Orange Black Orange Black Orange Orange Black\nOrange Orange Black Black Orange Orange Orange Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Brown Brown Brown Brown Brown Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Brown Brown Black Brown Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Black Brown\n\nOutput:\nBrown Brown Brown Black Gray Gray Gray Gray\nBlack Black Brown Brown Gray Gray Gray Gray\nBrown Brown Black Brown Gray Gray Gray Gray\nBrown Brown Brown Brown Gray Gray Gray Gray\nBrown Brown Brown Black Gray Gray Gray Gray\nBlack Brown Brown Brown Brown Brown Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Brown Brown Black Brown Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink\nPink Black Black Pink Pink Black Black Pink Pink Pink\nPink Black Pink Black Pink Pink Black Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Pink Black\nPink Black Pink Pink Pink Pink Pink Pink 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 Pink Pink Black Pink Gray Gray Gray Gray Gray\nPink Pink Black Pink Pink Gray Gray Gray Gray Gray\nPink Black Pink Black Pink Gray Gray Gray Gray Gray\nPink Pink Black Black Pink Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink\nPink Black Black Pink Pink Black Black Pink Pink Pink\nPink Black Pink Black Pink Pink Black Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Pink Black\nPink Black Pink Pink Pink Pink Pink Pink Black Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow\nYellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Blue Yellow Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Blue Yellow Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow\nYellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow\nYellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Blue Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Blue Green Green Green\nGreen Green Green Green Green Blue Green Blue Green Green\nGreen Green Green Green Blue Green Green Green Blue Green\nGreen Green Green Blue Green Green Green Green Green Blue\nGreen Green Blue Green Green Green Green Green Green Green\nGreen Blue Green Green Green Green Green Green Green Green\nBlue Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green 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\nGreen Green Blue Green Green Green Green 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\nGreen Green Green Green Green Green Green 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\nOutput:\nGreen Green Green Green Green Blue Green Green Green Green Green\nBlue Green Green Green Blue Green Green Green Green Green Green\nGreen Blue Green Blue Green Green Green Green Green Green Green\nGreen Green Blue Green Green Green Green Green Green Green Green\nGreen Blue Green Blue Green Green Green Green Green Green Green\nBlue Green Green Green Blue Green Green Green Green Green Green\nGreen Green Green Green Green Blue Green Green Green Green Green\nGreen Green Green Green Green Green Blue Green Green Green Green\nGreen Green Green Green Green Green Green Blue Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Gray\nBlue Gray Gray Gray Gray Gray Blue Gray Gray\nGray Blue Gray Gray Gray Blue Gray Gray Gray\nGray Gray Blue Gray Blue Gray Gray Gray Gray\nGray Gray Gray Blue Gray Gray Gray Gray Gray\nGray Gray Blue Gray Blue Gray Gray Gray Gray\nGray Blue Gray Gray Gray Blue Gray Gray Gray\nBlue Gray Gray Gray Gray Gray Blue Gray Gray\nGray Gray Gray Gray Gray Gray Gray Blue Gray\nGray Gray Gray Gray Gray Gray Gray Gray Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Green Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Brown Orange Green Pink Brown Pink Gray\nPurple Brown Orange Green Pink Brown Pink Gray\nPurple Brown Orange Green Pink Brown Pink Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\n\nOutput:\nPurple Gray Pink Pink Green Orange Green Gray\nPurple Gray Pink Pink Green Orange Green Gray\nPurple Gray Pink Pink Green Orange Green Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Gray Blue Brown Red\nYellow Gray Blue Brown Red\nYellow Gray Blue Brown 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Green Orange Blue Yellow\nRed Green Orange Blue Yellow\nRed Green Orange Blue Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray 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 Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Brown Brown\nBlack Black Black Black Blue Blue Black Black Black Black Brown Brown Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Blue Blue Black Black Black Black Brown Brown Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Red Red Orange Orange Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Purple Purple\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow\nGreen Green Green Green Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Brown Brown Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Orange Orange Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Brown Brown Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Orange Orange Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Pink Pink Black Black Red Red Black Black Black Black Black Black Orange Orange Brown Brown Black Black\nBlack Black Pink Pink Black Black Red Red Black Black Black Black Black Black Orange Orange Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Green Green Green Green Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Green Green Green Green Pink Pink Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Orange Orange Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Orange Orange Black Black Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Orange Orange Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Orange Orange Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown Pink Brown Brown Brown Brown Brown Brown Brown Brown Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Blue Pink Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Brown Brown Brown Brown\nBrown Brown Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Purple Purple Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Orange Brown Brown\nOrange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Green Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Red Pink Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Pink Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Brown Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Gray Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Pink Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green Green Green Green Green\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray\nGray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Brown Pink Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Red Red Yellow Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Purple Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Brown Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Purple Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Purple Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Red\nRed Red Red Red Red Red Red Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\n\nOutput:\nBlack Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black\nBrown Brown Brown Brown Black Black\nBrown Brown Brown Brown Black Black\nBrown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray 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 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 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 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 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 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 Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Yellow Orange Gray Yellow\nBlue Purple Orange Gray Orange\nOrange Purple Red Gray Blue\nGreen Purple Orange Gray Purple\nOrange Red Purple Green Purple\n\nOutput:\nGray Yellow Orange Gray Yellow\nYellow Pink Orange Gray Orange\nOrange Pink Green Gray Yellow\nGreen Pink Orange Gray Pink\nOrange Green Pink Green Pink\n\n\nExample 2\nInput:\nPurple Gray Orange Purple Yellow\nRed Yellow Purple Blue Purple\nGray Red Green Blue Green\nOrange Blue Red Gray Blue\nRed Green Red Green Red\n\nOutput:\nPink Gray Orange Pink Yellow\nGreen Yellow Pink Yellow Pink\nGray Green Green Yellow Green\nOrange Yellow Green Gray Yellow\nGreen Green Green Green Green\n\n\nExample 3\nInput:\nPurple Orange Green Red Yellow\nYellow Purple Gray Blue Gray\nBlue Green Purple Red Orange\nGray Orange Green Gray Blue\nBlue Red Gray Yellow Orange\n\nOutput:\nPink Orange Green Green Yellow\nYellow Pink Gray Yellow Gray\nYellow Green Pink Green Orange\nGray Orange Green Gray Yellow\nYellow Green Gray Yellow Orange\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Gray Gray Green\nBlue Green Purple Gray Red\nGreen Yellow Purple Red Red\nGray Green Gray Green Gray\nRed Yellow Red Gray Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Gray Gray Green\nYellow Green Pink Gray Green\nGreen Yellow Pink Green Green\nGray Green Gray Green Gray\nGreen Yellow Green Gray 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 Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Purple Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange 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 Blue Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Pink Black Black Black\nBlack Black Black Pink Black Black Black Blue Black Black Black Black Black Black Brown Black Black Black Orange Black\nBlack Pink Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Purple Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Orange Black\nBlack Black Black Black Pink Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Green Pink Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Pink Black Pink Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Pink Pink Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Blue Pink Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Pink Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Brown Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Purple Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Purple 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Gray Gray Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black\nYellow Yellow Blue Blue Black Black Purple Purple Black Black Black Black Purple Purple Blue Blue\nYellow Yellow Blue Blue Black Black Purple Purple Black Black Black Black Purple Purple Blue Blue\nGray Gray Brown Brown Black Black Purple Purple Black Black Black Black Blue Blue Purple Purple\nGray Gray Brown Brown Black Black Purple Purple Black Black Black Black Blue Blue Purple Purple\nBlue Blue Purple Purple Black Black Black Black Purple Purple Black Black Brown Brown Black Black\nBlue Blue Purple Purple Black Black Black Black Purple Purple Black Black Brown Brown Black Black\nBlack Black Blue Blue Brown Brown Yellow Yellow Black Black Gray Gray Black Black Black Black\nBlack Black Blue Blue Brown Brown Yellow Yellow Black Black Gray Gray Black Black Black Black\nBlue Blue Blue Blue Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Gray Gray Black Black Blue Blue Gray Gray Blue Blue\nBlack Black Black Black Brown Brown Gray Gray Black Black Blue Blue Gray Gray Blue Blue\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Gray Gray Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Gray Gray Yellow Yellow\nBlack Black Gray Gray Blue Blue Black Black Blue Blue Gray Gray Black Black Yellow Yellow\nBlack Black Gray Gray Blue Blue Black Black Blue Blue Gray Gray Black Black Yellow Yellow\nBlack Black Black Black Gray Gray Brown Brown Gray Gray Black Black Black Black Blue Blue\nBlack Black Black Black Gray Gray Brown Brown Gray Gray Black Black Black Black Blue Blue\nPurple Purple Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nPurple Purple Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Pink Pink Black Black Black Black Pink Pink Purple Purple\nBlack Black Gray Gray Pink Pink Black Black Black Black Pink Pink Purple Purple\nBlack Black Black Black Green Green Green Green Black Black Gray Gray Black Black\nBlack Black Black Black Green Green Green Green Black Black Gray Gray Black Black\nOrange Orange Black Black Black Black Black Black Green Green Purple Purple Purple Purple\nOrange Orange Black Black Black Black Black Black Green Green Purple Purple Purple Purple\nOrange Orange Black Black Purple Purple Black Black Pink Pink Black Black Purple Purple\nOrange Orange Black Black Purple Purple Black Black Pink Pink Black Black Purple Purple\nOrange Orange Black Black Pink Pink Green Green Gray Gray Pink Pink Gray Gray\nOrange Orange Black Black Pink Pink Green Green Gray Gray Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nOrange Orange Black Black Black Black Pink Pink Black Black Gray Gray Black Black\nOrange Orange Black Black Black Black Pink Pink Black Black Gray Gray Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Green Green Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Green Green Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nGreen Green Black Black Black Black Blue Blue Black Black Black Black Black Black\nGreen Green Black Black Black Black Blue Blue Black Black Black Black Black Black\nGray Gray Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black\nGray Gray Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Black Black Blue Blue\nGreen Green Black Black Black Black Black Black Green Green Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green\nBlack Black Yellow Yellow Black Black Gray Gray Black Black Pink Pink Green Green\nBlack Black Yellow Yellow Black Black Gray Gray Black Black Pink Pink Green Green\nPink Pink Black Black Black Black Black Black Pink Pink Black Black Gray Gray\nPink Pink Black Black Black Black Black Black Pink Pink Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Black Black Green Green Black Black Green Green Black Black\nGray Gray Yellow Yellow Black Black Green Green Black Black Green Green Black Black\nYellow Yellow Gray Gray Gray Gray Black Black Green Green Black Black Black Black\nYellow Yellow Gray Gray Gray Gray Black Black Green Green Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Blue Blue Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Brown Brown Red Red Black Black Purple Purple Brown Brown Purple Purple Purple Purple\nBlack Black Black Black Brown Brown Red Red Black Black Purple Purple Brown Brown Purple Purple Purple Purple\nBrown Brown Black Black Red Red Gray Gray Black Black Purple Purple Red Red Blue Blue Blue Blue\nBrown Brown Black Black Red Red Gray Gray Black Black Purple Purple Red Red Blue Blue Blue Blue\nBlack Black Blue Blue Black Black Blue Blue Gray Gray Purple Purple Black Black Purple Purple Brown Brown\nBlack Black Blue Blue Black Black Blue Blue Gray Gray Purple Purple Black Black Purple Purple Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Brown Brown Red Red Red Red Blue Blue Black Black Brown Brown\nRed Red Black Black Black Black Brown Brown Red Red Red Red Blue Blue Black Black Brown Brown\nBrown Brown Black Black Blue Blue Purple Purple Black Black Black Black Brown Brown Purple Purple Black Black\nBrown Brown Black Black Blue Blue Purple Purple Black Black Black Black Brown Brown Purple Purple Black Black\nBlue Blue Brown Brown Blue Blue Black Black Black Black Purple Purple Purple Purple Purple Purple Red Red\nBlue Blue Brown Brown Blue Blue Black Black Black Black Purple Purple Purple Purple Purple Purple Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black\nBlack Blue Blue Blue Blue Black Black\nBlack Blue Black Blue Blue Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Green Green Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Green Green Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Green Green Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Green Green Black Black Brown Brown Brown Brown\nBlack Black Black Black Purple Purple Purple Purple Green Green Green Green\nBlack Black Black Black Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Black Black Black Black\nGreen Green Green Green Purple Purple Purple Purple Black Black Black Black\nBrown Brown Brown Brown Black Black Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Green Green Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Red Red Red Red Green Green Green Green\nBrown Brown Brown Brown Red Red Red Red Green Green Green Green\nGreen Green Green Green Red Red Red Red Brown Brown Brown Brown\nGreen Green Green Green Red Red Red Red Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Green Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Blue Blue Gray Gray Blue Blue Red Red\nRed Red Blue Blue Gray Gray Blue Blue Red Red\nYellow Yellow Gray Gray Blue Blue Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Blue Blue Gray Gray Yellow Yellow\nBlack Black Purple Purple Blue Blue Purple Purple Black Black\nBlack Black Purple Purple Blue Blue Purple Purple Black Black\n\nOutput:\nBrown Brown Brown Brown Red Red Green Green Brown Brown\nBrown Brown Brown Brown Red Red Green Green Brown Brown\nBrown Brown Brown Brown Blue Blue Pink Pink Red Red\nBrown Brown Brown Brown Blue Blue Pink Pink Red Red\nBrown Brown Brown Brown Pink Pink Blue Blue Blue Blue\nBrown Brown Brown Brown Pink Pink Blue Blue Blue Blue\nBrown Brown Brown Brown Blue Blue Pink Pink Red Red\nBrown Brown Brown Brown Blue Blue Pink Pink Red Red\nBrown Brown Brown Brown Red Red Green Green Brown Brown\nBrown Brown Brown Brown Red Red Green Green Brown Brown\n\n\nExample 3\nInput:\nRed Red Pink Pink Gray Gray Orange Orange Gray Gray Pink Pink Red Red\nRed Red Pink Pink Gray Gray Orange Orange Gray Gray Pink Pink Red Red\nRed Red Red Red Orange Orange Red Red Orange Orange Red Red Red Red\nRed Red Red Red Orange Orange Red Red Orange Orange Red Red Red Red\nOrange Orange Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Orange Orange\nOrange Orange Pink Pink Blue Blue Blue Blue Blue Blue Pink Pink Orange Orange\nRed Red Red Red Yellow Yellow Black Black Yellow Yellow Red Red Red Red\nRed Red Red Red Yellow Yellow Black Black Yellow Yellow Red Red Red Red\nOrange Orange Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Orange Orange\nOrange Orange Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Orange Orange\n\nOutput:\nRed Red Red Red Blue Blue Red Red Blue Blue\nRed Red Red Red Blue Blue Red Red Blue Blue\nPink Pink Red Red Pink Pink Red Red Green Green\nPink Pink Red Red Pink Pink Red Red Green Green\nPink Pink Blue Blue Blue Blue Green Green Green Green\nPink Pink Blue Blue Blue Blue Green Green Green Green\nBlue Blue Red Red Blue Blue Brown Brown Green Green\nBlue Blue Red Red Blue Blue Brown Brown Green Green\nPink Pink Blue Blue Blue Blue Green Green Green Green\nPink Pink Blue Blue Blue Blue Green Green Green Green\nPink Pink Red Red Pink Pink Red Red Green Green\nPink Pink Red Red Pink Pink Red Red Green Green\nRed Red Red Red Blue Blue Red Red Blue Blue\nRed Red Red Red Blue Blue Red Red Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Red Blue Blue Gray Gray Pink Pink Red Red Red Red\nBlack Black Red Red Blue Blue Gray Gray Pink Pink Red Red Red Red\nRed Red Red Red Purple Purple Pink Pink Pink Pink Blue Blue Purple Purple\nRed Red Red Red Purple Purple Pink Pink Pink Pink Blue Blue Purple Purple\nRed Red Orange Orange Orange Orange Green Green Gray Gray Purple Purple Purple Purple\nRed Red Orange Orange Orange Orange Green Green Gray Gray Purple Purple Purple Purple\nRed Red Orange Orange Pink Pink Green Green Black Black Purple Purple Black Black\nRed Red Orange Orange Pink Pink Green Green Black Black Purple Purple Black Black\nRed Red Orange Orange Orange Orange Green Green Gray Gray Purple Purple Purple Purple\nRed Red Orange Orange Orange Orange Green Green Gray Gray Purple Purple Purple Purple\nRed Red Red Red Purple Purple Pink Pink Pink Pink Blue Blue Purple Purple\nRed Red Red Red Purple Purple Pink Pink Pink Pink Blue Blue Purple Purple\nBlack Black Red Red Blue Blue Gray Gray Pink Pink Red Red Red Red\nBlack Black Red Red Blue Blue Gray Gray Pink Pink Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Brown Brown Red Red Red Red Red Red\nRed Red Red Red Red Red Brown Brown Red Red Red Red Red Red\nRed Red Blue Blue Red Red Red Red Red Red Blue Blue Red Red\nRed Red Blue Blue Red Red Red Red Red Red Blue Blue Red Red\nPink Pink Pink Pink Pink Pink Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Green Green Green Green Green Green Pink Pink Pink Pink\nPink Pink Pink Pink Green Green Green Green Green Green Pink Pink Pink Pink\nBlue Blue Red Red Blue Blue Pink Pink Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Pink Pink Blue Blue Red Red Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red\nBrown Brown Red Red Red Red Red Red Red Red Red Red Brown Brown\nBrown Brown Red Red Red Red Red Red Red Red Red Red Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Black Brown Brown\nBlack Black Black Black Black Black Brown Brown Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Black Brown Brown\nBlack Black Black Black Black Black Brown Brown Black Brown Brown\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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Pink Pink\nBlack Black Black Black Black Black Pink Pink Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Blue Black Black Black\nBlack Black Black Black Black Gray Purple Gray Black Black Black Black Purple Purple Green Yellow Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Green Red Black\nBlack Black Black Black Black Gray Purple Gray Black Black Black Black Black Black Brown Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Red 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 Green Green Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Purple Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Purple Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Purple Black Black Gray Gray Orange Black Black Black Black Black\nBlack Brown Brown Brown Orange Black Black Gray Yellow Pink Black Black Black Black Black\nBlack Black Black Black Brown Black Black Gray Yellow Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Pink Pink Orange Black Black Black Black Black\nBlack Black Black Black Black Black Gray Yellow Yellow Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Orange Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Pink Gray Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Purple Blue Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Purple Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Purple Red Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Purple Purple Purple Orange Purple\nBlack Black Black Black Black Black Black Black Black Black Gray Blue Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple Pink Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Gray Black Black Black Pink Black Green Black\nYellow Black Pink Orange Pink Purple Black Black Black Black\nBlue Orange Black Black Pink Black Black Black Black Red\nGreen Black Black Black Black Orange Black Black Black Yellow\nBlack Green Black Black Pink Purple Black Black Blue Black\nBlack Brown Green Black Orange Black Red Black Black Black\nOrange Black Purple Gray Black Yellow Green Black Black Red\nBlack Black Purple Black Yellow Black Pink Black Red Black\nBlack Orange Purple Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Green Yellow Black Black Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Brown Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Black Black Black Black Red\nBlack Black Black Black Gray Purple Yellow Black Orange Black\nBlack Blue Yellow Black Purple Black Green Pink Gray Pink\nBlack Black Black Orange Red Black Black Gray Black Black\nBlack Black Black Black Black Black Black Orange Pink Pink\nBlack Black Pink Red Black Black Black Blue Red Gray\nOrange Blue Black Black Black Black Black Black Purple Black\nBlue Black Purple Black Black Black Black Blue Red Purple\nBlack Orange Gray Brown Red Black Black Yellow Brown Blue\nPurple Black Black Orange Brown Black Black Yellow Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Green Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Brown Black Black Black Black Black Black Black Purple\nBrown Black Black Orange Black Black Black Black Green Yellow\nBlack Black Black Black Yellow Black Black Green Black Black\nBlack Black Black Black Black Black Black Blue Gray Orange\nBlack Black Black Black Brown Black Orange Black Brown Blue\nBlack Pink Black Red Black Red Black Purple Black Black\nOrange Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Red Black Yellow Black Black Black Black\nBlack Pink Black Black Black Black Black Purple Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Gray Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Black Black Green Black Black Black\nBlue Black Black Black Black Gray Brown Brown Purple Brown\nBlack Black Black Green Yellow Orange Orange Black Yellow Brown\nBlack Black Black Orange Black Black Gray Black Brown Orange\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Gray Purple Black Black Black Black\nBlue Green Black Blue Black Red Black Black Black Black\nBlack Brown Black Gray Blue Black Black Black Black Black\nBlack Orange Purple Pink Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Red Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow 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 Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nYellow Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Red Red Red Blue Black Black Black\nYellow Black Blue Red Red Red Blue Black Black Black\nBlack Black Blue Red Red Red Blue Black Black Black\nBrown Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\n\n\nExample 2\nInput:\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Purple Black Red Red Red Black Black Black Pink\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\n\nOutput:\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Blue Green Blue Blue Blue Black Black Black\nBlack Purple Blue Red Red Red Blue Black Black Pink\nBlack Black Blue Red Red Red Blue Black Black Black\nBlack Black Blue Red Red Red Blue Black Black Black\nBlack Brown Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Red Blue Blue Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Green\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Blue Blue Blue Blue Black Black Black\nBlack Black Blue Red Red Red Blue Black Black Black\nBlack Black Blue Red Red Red Blue Black Black Black\nBlack Black Blue Red Red Red Blue Black Black Green\nBlack Black Blue Blue Blue Blue Blue Orange Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Gray 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 Purple Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Gray Black Black\nBlack Brown Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Red Red Red Blue Black Black Black\nBlack Black Blue Red Red Red Blue Gray Black Black\nBlack Brown Blue Red Red Red Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Purple Black Black Purple Black Black Purple Black Black Purple\nBlack Blue Black Black Blue Black Black Blue Black Black Blue Black Black\nBlack Black Blue Black Black Blue Black Black Blue Black Black Blue Black\nGray Black Black Gray Black Black Gray Black Black Gray Black Black Gray\nBlack Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nGray Black Black Gray Black Black Gray Black Black Gray Black Black Gray\nBlack Blue Black Black Blue Black Black Blue Black Black Blue Black Black\nBlack Black Blue Black Black Blue Black Black Blue Black Black Blue Black\nPurple Black Black Purple Black Black Purple Black Black Purple Black Black Purple\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black\nBlack Black Blue Black Black Blue Black Black Blue Black Black Blue Black\nGray Black Black Gray Black Black Gray Black Black Gray Black Black Gray\n\nOutput:\nPurple Black Blue Purple Blue Blue Purple Blue Blue Purple Blue Blue Purple\nBlack Blue Purple Blue Blue Purple Blue Blue Purple Blue Blue Purple Blue\nBlue Purple Blue Blue Purple Blue Blue Purple Blue Blue Purple Blue Yellow\nGray Blue Blue Gray Blue Blue Gray Blue Blue Gray Blue Yellow Gray\nBlue Yellow Purple Blue Yellow Purple Blue Yellow Purple Blue Yellow Gray Brown\nBlue Purple Brown Blue Purple Brown Blue Purple Brown Yellow Gray Brown Blue\nGray Blue Blue Gray Blue Blue Gray Blue Yellow Gray Brown Blue Gray\nBlue Blue Purple Blue Blue Purple Blue Blue Gray Brown Blue Gray Blue\nBlue Purple Blue Blue Purple Blue Yellow Gray Blue Blue Gray Blue Brown\nPurple Blue Blue Purple Blue Yellow Purple Brown Blue Purple Blue Brown Purple\nBlue Brown Purple Blue Brown Gray Brown Brown Gray Blue Brown Purple Blue\nBlue Purple Blue Yellow Gray Blue Blue Gray Blue Brown Purple Blue Black\nGray Blue Yellow Gray Brown Blue Gray Blue Brown Gray Blue Black Gray\n\n\nExample 2\nInput:\nBlack Black Orange Black Black Orange Black Black Orange Black Black Orange\nOrange Black Black Orange Black Black Orange Black Black Orange Black Black\nBlack Orange Black Black Orange Black Black Orange Black Black Orange Black\nBlack Black Orange Black Black Orange Black Black Orange Black Black Orange\nGray Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Purple Black Black Purple Black Black Purple Black Black Purple Black\nBlack Black Gray Black Black Gray Black Black Gray Black Black Gray\nOrange Black Black Orange Black Black Orange Black Black Orange Black Black\nBlack Purple Black Black Purple Black Black Purple Black Black Purple Black\nBlack Black Pink Black Black Pink Black Black Pink Black Black Pink\nPurple Black Black Purple Black Black Purple Black Black Purple Black Black\nBlack Green Black Black Green Black Black Green Black Black Green Black\n\nOutput:\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Orange\nGray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange Purple\nOrange Purple Orange Orange Purple Orange Orange Purple Gray Orange Purple Orange\nOrange Orange Gray Orange Orange Gray Orange Gray Gray Purple Orange Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Orange Gray Purple\nOrange Purple Orange Orange Purple Gray Orange Purple Orange Gray Purple Purple\nOrange Orange Pink Orange Gray Pink Purple Orange Pink Purple Purple Pink\nPurple Orange Orange Purple Orange Purple Purple Gray Purple Purple Pink Green\nOrange Green Gray Orange Green Orange Gray Green Purple Pink Green Black\n\n\nExample 3\nInput:\nBlack Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow\nGray Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Pink Black Black Pink Black Black Pink Black Black Pink Black\nBlack Black Green Black Black Green Black Black Green Black Black Green\nGray Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Green Black Black Green Black Black Green Black Black Green Black\nBlack Black Gray Black Black Gray Black Black Gray Black Black Gray\nYellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black\nBlack Black Pink Black Black Pink Black Black Pink Black Black Pink\nGray Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black\n\nOutput:\nBlack Gray Yellow Pink Gray Yellow Pink Gray Yellow Pink Gray Yellow\nGray Yellow Pink Gray Yellow Pink Gray Yellow Pink Gray Yellow Pink\nYellow Pink Gray Yellow Pink Gray Yellow Pink Gray Yellow Pink Gray\nPink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nGray Yellow Pink Gray Yellow Pink Gray Yellow Pink Gray Green Green\nYellow Green Gray Yellow Green Gray Yellow Green Gray Green Green Yellow\nPink Gray Gray Pink Gray Gray Pink Gray Gray Green Yellow Gray\nYellow Yellow Pink Yellow Yellow Pink Yellow Green Green Yellow Gray Yellow\nYellow Yellow Gray Yellow Yellow Gray Green Yellow Yellow Gray Yellow Gray\nPink Gray Pink Pink Gray Pink Green Yellow Pink Yellow Gray Pink\nGray Yellow Pink Gray Green Green Gray Gray Yellow Gray Pink Yellow\nYellow Yellow Gray Green Yellow Yellow Gray Yellow Gray Pink Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Black Black Blue Black Black Blue Black Black Blue Black Black Blue\nBlack Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black\nRed Black Black Red Black Black Red Black Black Red Black Black Red Black\nBlack Brown Black Black Brown Black Black Brown Black Black Brown Black Black Brown\nBlack Black Blue Black Black Blue Black Black Blue Black Black Blue Black Black\nBrown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nBlack Red Black Black Red Black Black Red Black Black Red Black Black Red\nBlack Black Blue Black Black Blue Black Black Blue Black Black Blue Black Black\nBlue Black Black Blue Black Black Blue Black Black Blue Black Black Blue Black\nBlack Blue Black Black Blue Black Black Blue Black Black Blue Black Black Blue\nBlack Black Red Black Black Red Black Black Red Black Black Red Black Black\nBrown Black Black Brown Black Black Brown Black Black Brown Black Black Brown Black\nBlack Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple\nBlack Black Brown Black Black Brown Black Black Brown Black Black Brown Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Red Brown Blue Red Brown Blue Red Brown Blue Red Brown Blue\nBlue Red Brown Blue Red Brown Blue Red Brown Blue Red Brown Blue Red\nRed Brown Blue Red Brown Blue Red Brown Blue Red Brown Blue Red Blue\nBrown Brown Red Brown Brown Red Brown Brown Red Brown Brown Red Blue Brown\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Brown Brown\nBrown Brown Blue Brown Brown Blue Brown Brown Blue Brown Blue Brown Brown Blue\nBrown Red Red Brown Red Red Brown Red Red Blue Red Brown Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Brown Brown Blue Red Blue\nBlue Brown Blue Blue Brown Blue Blue Blue Brown Blue Blue Red Blue Red\nBrown Blue Red Brown Blue Red Blue Blue Brown Blue Blue Blue Red Blue\nBlue Red Red Blue Red Red Brown Brown Red Red Blue Red Blue Brown\nBrown Brown Blue Brown Blue Brown Brown Blue Red Brown Red Blue Brown Brown\nBrown Purple Red Blue Purple Brown Blue Purple Blue Red Purple Brown Brown Purple\nBlue Red Brown Brown Brown Brown Red Blue Brown Blue Brown Brown Purple Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Purple Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Blue Black Blue Black Black Black Black\nOrange Orange Orange Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Brown Brown Black Black Black\nBlack Black Black Black Blue Black Black Brown Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\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 Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Blue Blue Black Black Black Black Black\nOrange Orange Orange Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Brown Brown Black Black Black\nBlack Black Black Black Black Blue Black Black Brown Black Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Purple Purple Black Black Purple Purple Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlack Purple Purple Black Black Purple Purple Black\nBlack Purple Purple Black Black Purple Purple Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlack Purple Purple Black Black Purple Purple Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Black 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:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\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 Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nGray Black Black Gray Gray Gray\nGray Gray Gray Black Gray Black\nGray Black Black Black Gray Black\nBlack Black Gray Black Gray Black\nGray Gray Gray Black Gray Black\nBlack Black Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Black Black Pink Black\nBlack Pink Pink Black Pink Black\nPink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlue Black Purple Blue Black Black Black Black Black Black\nBlue Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlue Purple Purple Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Orange Orange Black Orange Orange\nBlack Black Black Black Black Orange Pink Pink Pink Black\nBlack Black Black Black Black Gray Black Orange Gray Gray\nBlack Black Black Black Black Gray Orange Orange Orange Black\nBlack Black Black Black Black Gray Orange Black Orange Gray\nBlack Black Black Black Black Gray Black Pink Purple Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Orange Orange\nBlack Black Black Black Black Orange Orange Black Orange Orange\nBlack Black Black Black Black Orange Pink Pink Pink Orange\nBlack Black Black Black Black Gray Gray Orange Gray Gray\nBlack Black Black Black Black Gray Orange Orange Orange Gray\nBlack Black Black Black Black Gray Orange Black Orange Gray\nBlack Black Black Black Black Gray Purple Pink Purple Gray\n\n\nExample 3\nInput:\nBlack Black Black Orange Black Orange Black Black Black Black\nBlack Black Black Orange Yellow Black Black Black Black Black\nBlack Black Black Red Black Black Purple Black Black Black\nBlack Black Brown Blue Black Blue Brown Black Black Black\nBlack Black Black Blue Black Black Brown Black Black Black\nBlack Black Green Black Black Black Green Black Black Black\nBlack Black Purple Purple Black Purple Purple Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Yellow Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Black Orange Black Black Black Black\nBlack Black Black Orange Yellow Orange Black Black Black Black\nBlack Black Purple Red Black Red Purple Black Black Black\nBlack Black Brown Blue Black Blue Brown Black Black Black\nBlack Black Brown Blue Black Blue Brown Black Black Black\nBlack Black Green Black Black Black Green Black Black Black\nBlack Black Purple Purple Black Purple Purple Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Red Blue Red Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black\nBlack Gray Black Gray 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 Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Red Blue Red Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Brown Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Brown Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Brown Black Black Black Black Black Black Black\nBrown Brown Brown Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Orange Purple Orange Black Black Black Black Black\nBlack Black Black Black Orange Purple Orange Black Green Black Black Black\nBlack Black Black Black Orange Orange Orange Green Green Black Black Black\nBlack Black Black Black Black Green Purple Orange Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black\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\nOrange Purple Orange Black Black Black Black Black Black Black Black Black\nOrange Purple Orange Black Green Black Black Black Black Black Black Black\nOrange Orange Orange Green Green Black Black Black Black Black Black Black\nBlack Green Purple Orange Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black\nBlack Black Gray Gray Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Pink Black Black Black Black Black Black Black Black\nBlack Pink Green Pink Pink Green Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black\nBlack Black Gray Gray Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Pink Black Black Black Black Black Black Black Black\nBlack Pink Green Pink Pink Green Pink 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 Gray Black Black Black Red Gray Gray Black Black\nBlack Black Black Black Gray Gray Red Gray Red Red Brown Gray Gray Black\nBlack Black Black Gray Gray Red Red Gray Red Red Brown Brown Black Black\nBlack Black Black Brown Gray Brown Black Gray Gray Black Red Brown Black Black\nBlack Black Black Gray Black Brown Brown Gray Gray Brown Brown Brown Gray Black\nBlack Black Black Gray Black Brown Brown Gray Gray Brown Brown Brown Gray Black\nBlack Black Black Brown Gray Brown Black Gray Gray Black Red Brown Black Black\nBlack Black Red Red Red Red Red Gray Red Red Brown Brown Black Black\nBlack Black Red Red Red Gray Red Gray Red Red Brown Gray Gray Black\nBlack Black Black Black Black Gray Black Black Black Red Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Black Black Black Red Gray Gray Black Black Black Black\nBlack Black Gray Gray Red Gray Red Red Brown Gray Gray Black Black Black\nBlack Gray Gray Red Red Gray Red Red Brown Brown Black Black Black Black\nBlack Brown Gray Brown Black Gray Gray Black Red Brown Black Black Black Black\nBlack Gray Black Brown Brown Gray Gray Brown Brown Brown Gray Black Black Black\nBlack Gray Black Brown Brown Gray Gray Brown Brown Brown Gray Black Black Black\nBlack Brown Gray Brown Black Gray Gray Black Red Brown Black Black Black Black\nRed Red Red Red Red Gray Red Red Brown Brown Black Black Black Black\nRed Red Red Gray Red Gray Red Red Brown Gray Gray Black Black Black\nBlack Black Black Gray Black Black Black Red Gray Gray Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Black Black Purple Black Black Black Black\nBlack Black Black Black Black Purple Orange Black Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Orange Purple Purple Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Purple Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Purple Black Black Black Black\nBlack Black Black Black Black Black Orange Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Orange Black Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Pink Pink Black Black Black Black\nBlack Black Black Black Orange Orange Orange Pink Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Pink Black Black Black Black\nBlack Black Black Black Black Orange Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Gray Black Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Gray Orange Orange Black Black Black Black\nBlack Black Black Black Gray Gray Gray Orange Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Orange Black Black Black Black\nBlack Black Black Black Black Gray 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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Pink Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Pink Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Gray Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Gray Black Black Black Black Black\nBlack Black Black Black Black Black Pink Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n\n\nExample 2\nInput:\nGray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple\n\nOutput:\nGray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple\n\n\nExample 3\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Orange Green Orange\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Orange Green Orange\nBlack Black Black Black Black Red Red Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Gray Blue Black\nBlack Black Black Orange Black Black Gray Yellow Black Black Black Black Green Blue Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Gray Blue Black\nBlack Black Black Black Black Black Gray Yellow Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Gray Gray Black\nBlack Pink Green Pink Black Black Black Black Gray Gray Black\nBlack Blue Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated 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 Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Black Pink\nBlack Black Black Black Black Purple Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Pink\nOrange Black Black Black Black Black Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Pink\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Pink\nOrange Black Black Black Black Black Red Black Black Black\n\n\nExample 2\nInput:\nBlack Yellow Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Brown Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Brown Black Black\nBrown Black Black Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Brown Black Black\nBrown Black Black Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Pink\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 Blue Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Brown Black\nBlack Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Brown Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack 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 Pink Black Black Brown Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green\nGreen Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green\nGreen Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green\nGreen Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green\nGreen Green Green Green Black Black Black Black Red Red Red Red Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Red Red Red Red Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Red Red Red Red Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Red Red Red Red Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Red Red Red Red Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Red Red Red Red Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Red Red Red Red Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Red Red Red Red Black Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Gray Gray Gray Gray Red Red Black Black Pink Pink Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Red Red Gray Gray Gray Gray Red Red Black Black Pink Pink Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Purple Purple Pink Pink Pink Pink Purple Purple\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Purple Purple Pink Pink Pink Pink Purple Purple\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Pink Pink Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Pink Pink Pink Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nRed Red Gray Gray Gray Gray Red Red\nRed Red Gray Gray Gray Gray Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\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 Orange Orange Red Red Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Red Red Pink Pink Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Red Red Pink Pink Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Orange Orange Pink Pink Black Black Black Black Black Black Orange Orange Red Red Orange Orange\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Orange Orange Pink Pink Black Black Black Black Black Black Orange Orange Red Red Orange Orange\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Red Red Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Brown Brown Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Brown Brown Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Brown Brown Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Brown Brown Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nPink Pink Red Red Red Red Pink Pink Black Black Black Black\nPink Pink Red Red Red Red Pink Pink Black Black Black Black\nPink Pink Orange Orange Orange Orange Pink Pink Black Black Black Black\nPink Pink Orange Orange Orange Orange Pink Pink Black Black Black Black\nPink Pink Orange Orange Orange Orange Pink Pink Black Black Black Black\nPink Pink Orange Orange Orange Orange Pink Pink Black Black Black Black\nPink Pink Red Red Orange Orange Red Red Orange Orange Black Black\nPink Pink Red Red Orange Orange Red Red Orange Orange Black Black\nBlack Black Black Black Red Red Red Red Red Red Orange Orange\nBlack Black Black Black Red Red Red Red Red Red Orange Orange\nBlack Black Black Black Red Red Red Red Red Red Purple Purple\nBlack Black Black Black Red Red Red Red Red Red Purple Purple\nBlack Black Black Black Orange Orange Red Red Orange Orange Purple Purple\nBlack Black Black Black Orange Orange Red Red Orange Orange Purple Purple\nBlack Black Black Black Purple Purple Brown Brown Brown Brown Purple Purple\nBlack Black Black Black Purple Purple Brown Brown Brown Brown Purple Purple\nBlack Black Black Black Orange Orange Pink Pink Pink Pink Orange Orange\nBlack Black Black Black Orange Orange Pink Pink Pink Pink Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Brown Brown Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Brown Brown Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Yellow Yellow Black Black Black Black Black Black Red Red Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Yellow Yellow Black Black Black Black Black Black Red Red Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Pink Pink Brown Brown Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Pink Pink Brown Brown Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Yellow Yellow Purple Purple Purple Purple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Yellow Yellow Purple Purple Purple Purple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Pink Pink Brown Brown Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Pink Pink Brown Brown Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Yellow Yellow Purple Purple Purple Purple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Purple Purple Purple Purple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Pink Pink Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Pink Pink Yellow Yellow\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Pink Pink Brown Brown Pink Pink Yellow Yellow\nBlack Black Black Black Pink Pink Brown Brown Pink Pink Yellow Yellow\nBlack Black Blue Blue Red Red Brown Brown Red Red Black Black\nBlack Black Blue Blue Red Red Brown Brown Red Red Black Black\nYellow Yellow Purple Purple Pink Pink Brown Brown Pink Pink Black Black\nYellow Yellow Purple Purple Pink Pink Brown Brown Pink Pink Black Black\nPink Pink Brown Brown Blue Blue Blue Blue Blue Blue Black Black\nPink Pink Brown Brown Blue Blue Blue Blue Blue Blue Black Black\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Black Black Black Black\nYellow Yellow Purple Purple Purple Purple Yellow Yellow Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Brown Brown Yellow Yellow Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Brown Brown Yellow Yellow Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Brown Brown Blue Blue Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Brown Brown Blue Blue Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Brown Brown Yellow Yellow Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Brown Brown Yellow Yellow Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Red Red Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Red Red Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Black Black Gray Gray Red Red Red Red Gray Gray Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Gray Gray Red Red Red Red Gray Gray Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Gray Gray Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Gray Gray Brown Brown Yellow Yellow Brown Brown Gray Gray\nBlack Black Black Black Gray Gray Brown Brown Yellow Yellow Brown Brown Gray Gray\nBlack Black Black Black Gray Gray Brown Brown Blue Blue Brown Brown Gray Gray\nBlack Black Black Black Gray Gray Brown Brown Blue Blue Brown Brown Gray Gray\nBlack Black Pink Pink Gray Gray Brown Brown Yellow Yellow Brown Brown Gray Gray\nBlack Black Pink Pink Gray Gray Brown Brown Yellow Yellow Brown Brown Gray Gray\nGray Gray Red Red Red Red Gray Gray Orange Orange Black Black Black Black\nGray Gray Red Red Red Red Gray Gray Orange Orange Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Pink Pink Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Pink Pink Black Black Black Black\nGray Gray Red Red Red Red Gray Gray Black Black Black Black Black Black\nGray Gray Red Red Red Red Gray Gray Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Black Black Pink Pink Purple Purple Purple Purple Black Black Black Black Black Black Black Black Gray Gray Pink Pink\nBlue Blue Blue Blue Black Black Pink Pink Purple Purple Purple Purple Black Black Black Black Black Black Black Black Gray Gray Pink Pink\nRed Red Blue Blue Gray Gray Pink Pink Purple Purple Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nRed Red Blue Blue Gray Gray Pink Pink Purple Purple Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black\nYellow Yellow Yellow Yellow Blue Blue Purple Purple Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Purple Purple Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Purple Purple Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Purple Purple Blue Blue Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Yellow Yellow Green Green Black Black Black Black Black Black Black Black\nBlue Blue Purple Purple Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nBlue Blue Purple Purple Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Green Green\nBlack Black Black Black Blue Blue Purple Purple Purple Purple Purple Purple Yellow Yellow Green Green\nBlue Blue Gray Gray Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Orange Orange\nBlue Blue Gray Gray Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Orange Orange\nBlack Black Black Black Purple Purple Yellow Yellow Black Black Gray Gray Black Black Brown Brown\nBlack Black Black Black Purple Purple Yellow Yellow Black Black Gray Gray Black Black Brown Brown\nBlack Black Brown Brown Orange Orange Green Green Black Black Blue Blue Black Black Black Black\nBlack Black Brown Brown Orange Orange Green Green Black Black Blue Blue Black Black Black Black\nPurple Purple Purple Purple Yellow Yellow Green Green Black Black Black Black Blue Blue Black Black\nPurple Purple Purple Purple Yellow Yellow Green Green Black Black Black Black Blue Blue Black Black\nBlue Blue Purple Purple Purple Purple Orange Orange Brown Brown Black Black Gray Gray Black Black\nBlue Blue Purple Purple Purple Purple Orange Orange Brown Brown Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Brown Brown Orange Orange Purple Purple Purple Purple Blue Blue\nBlack Black Gray Gray Black Black Brown Brown Orange Orange Purple Purple Purple Purple Blue Blue\nBlack Black Blue Blue Black Black Black Black Green Green Yellow Yellow Purple Purple Purple Purple\nBlack Black Blue Blue Black Black Black Black Green Green Yellow Yellow Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nRed Red Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red Yellow Yellow Gray Gray Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red Yellow Yellow Gray Gray Black Black\nGreen Green Gray Gray Gray Gray Yellow Yellow Red Red Black Black Gray Gray Gray Gray\nGreen Green Gray Gray Gray Gray Yellow Yellow Red Red Black Black Gray Gray Gray Gray\nGreen Green Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Gray Gray Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Yellow Yellow Yellow Yellow Black Black Green Green Green Green Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Green Green Green Green Black Black Black Black\nRed Red Yellow Yellow Gray Gray Black Black Gray Gray Gray Gray Black Black Red Red\nRed Red Yellow Yellow Gray Gray Black Black Gray Gray Gray Gray Black Black Red Red\nRed Red Black Black Gray Gray Gray Gray Black Black Gray Gray Yellow Yellow Red Red\nRed Red Black Black Gray Gray Gray Gray Black Black Gray Gray Yellow Yellow Red Red\nBlack Black Black Black Green Green Green Green Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Green Green Green Green Black Black Yellow Yellow Yellow Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nPink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Pink Pink Black Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple\nBlue Blue Blue Blue Pink Pink Black Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Brown Brown\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Brown Brown\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Purple Purple Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Black Black Brown Brown Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Black Black Brown Brown Black Black Black Black Black Black Blue Blue Blue Blue\nPink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Pink Pink\nBlue Blue Blue Blue Black Black Black Black Black Black Brown Brown Black Black Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Brown Brown Black Black Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue 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 Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nPink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black\n\nOutput:\nBlack 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 Yellow Yellow Yellow 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue\nYellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nGreen Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Pink Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Pink Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black 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 Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Orange Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green\nBlack Black Black Black Black Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Red Black Black Green Black Black\nYellow Black Gray Green Black Black Black Red Gray Black\nBlack Black Gray Red Black Yellow Yellow Blue Blue Black\nGray Gray Green Black Black Black Blue Blue Gray Blue\nBlack Black Black Red Yellow Black Red Black Gray Yellow\nBlue Black Blue Black Gray Black Yellow Red Red Black\nYellow Black Black Black Black Green Green Red Red Black\nYellow Black Green Red Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Red Red\nBlack Gray Yellow Black Blue Black Gray Black Red Red\n\nOutput:\nBlack Black Black Green Green Black Green Green Black Black\nYellow Black Green Green Black Black Green Green Gray Black\nBlack Black Green Green Black Yellow Yellow Blue Blue Black\nGray Gray Green Green Black Green Green Blue Gray Blue\nBlack Black Green Green Yellow Green Green Black Gray Yellow\nBlue Black Blue Black Gray Black Yellow Green Green Black\nYellow Black Green Green Black Green Green Green Green Black\nYellow Black Green Green Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Green Green\nBlack Gray Yellow Black Blue Black Gray Black Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Black Black Black Black\nRed Black Blue Black Red Red Black Black Black Black\nGray Blue Yellow Black Black Gray Black Black Black Black\nRed Green Black Black Black Black Green Black Black Black\nGray Black Black Gray Black Black Black Green Black Red\nBlack Blue Black Black Black Black Gray Black Red Black\nBlack Black Black Black Black Black Green Black Black Red\nGreen Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Gray Red Red Red Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black\n\nOutput:\nGreen Black Black Black Green Green Black Black Black Black\nGreen Black Blue Black Green Green Black Black Black Black\nGreen Blue Yellow Black Black Gray Black Black Black Black\nGreen Green Black Black Black Black Green Black Green Green\nGray Black Black Gray Black Black Black Green Green Green\nBlack Blue Black Black Black Black Gray Green Green Green\nBlack Black Black Black Black Black Green Black Green Green\nGreen Black Black Black Black Red Green Green Black Black\nBlack Black Black Black Gray Red Green Green Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black\n\n\nExample 3\nInput:\nBlue Black Black Green Black Black Black Red Black Green\nBlack Black Black Black Gray Black Green Green Black Black\nGreen Black Gray Black Red Black Black Black Green Gray\nBlack Black Black Black Black Blue Yellow Gray Black Black\nBlack Gray Gray Black Black Red Red Gray Black Black\nGray Red Red Black Green Red Red Black Black Gray\nYellow Red Red Blue Gray Black Black Black Red Yellow\nBlack Black Blue Black Black Green Yellow Black Black Gray\nBlack Black Black Black Black Black Blue Gray Black Black\nBlack Black Green Red Black Green Black Gray Black Blue\n\nOutput:\nBlue Black Black Green Black Black Green Green Black Green\nBlack Black Black Green Green Black Green Green Black Black\nGreen Black Gray Green Green Black Black Black Green Gray\nBlack Black Black Black Black Blue Yellow Gray Black Black\nBlack Gray Gray Black Black Green Green Gray Black Black\nGray Green Green Black Green Green Green Green Green Gray\nYellow Green Green Blue Gray Black Black Green Green Yellow\nBlack Black Blue Black Black Green Yellow Black Black Gray\nBlack Black Green Green Black Black Blue Gray Black Black\nBlack Black Green Green Black Green Black Gray Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Yellow Gray Black Red Black Black Black Black\nBlack Black Black Red Black Gray Gray Black Blue Red\nBlack Yellow Black Gray Red Red Yellow Gray Black Black\nBlack Yellow Yellow Blue Red Red Green Gray Gray Black\nBlue Red Black Black Blue Red Black Black Gray Yellow\nBlack Black Black Green Red Black Black Black Yellow Blue\nBlack Black Black Gray Black Gray Black Black Black Yellow\nGray Black Black Black Red Red Red Green Black Black\nBlack Black Yellow Black Green Red Red Black Black Black\nBlack Black Black Black Black Gray Gray Yellow Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Green Green Green Green Black Black Green Green\nBlack Black Green Green Black Gray Gray Black Green Green\nBlack Yellow Black Gray Red Red Yellow Gray Black Black\nGreen Green Yellow Blue Green Green Green Gray Gray Black\nGreen Green Black Green Green Green Black Black Gray Yellow\nBlack Black Black Green Green Black Black Black Yellow Blue\nBlack Black Black Gray Black Gray Black Black Black Yellow\nGray Black Black Black Red Green Green Green Black Black\nBlack Black Yellow Black Green Green Green Black Black Black\nBlack Black Black Black Black Gray Gray Yellow Yellow Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown 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 Black Black Black Green Green\nGray Gray Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue 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\nPink Pink Black Black Purple Purple Red Red Black Black\nPink Pink Black Black Purple Purple Red Red Black Black\n\nOutput:\nGray Gray Black Black Purple Purple Black Black Black Black\nGray Gray Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Yellow Yellow\nPink Pink Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Red Red Green Green Black Black\nBlue Blue Black Black Red Red Green Green Black Black\n\n\nExample 2\nInput:\nBrown Brown Black Black Black Black Black Black Red Red Black Black\nBrown Brown Black Black Black Black Black Black Red Red Black Black\nPurple Purple Black Black Black Black Black Black Orange Orange Black Black\nPurple Purple Black Black Black Black Black Black Orange Orange Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Black Black Black Black Black Black Orange Orange Black Black\nPurple Purple Black Black Black Black Black Black Orange Orange Black Black\nPink Pink Black Black Black Black Black Black Brown Brown Black Black\nPink Pink Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Red Red Black Black Black Black\nGray Gray Black Black Black Black Red Red Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\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:\nGray Gray Pink Pink Orange Orange Black Black Black Black Black Black\nGray Gray Pink Pink Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Purple Black Black Yellow Yellow\nBlack Black Purple Purple Black Black Yellow Yellow\nRed Red Black Black Blue Blue Brown Brown\nRed Red Black Black Blue Blue Brown Brown\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Blue Blue Black Black Brown Brown\nRed Red Blue Blue Black Black Brown Brown\nOrange Orange Black Black Yellow Yellow Black Black\nOrange Orange Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Red Green\nPink Yellow Black Green Black\nGreen Black Red Black Yellow\nOrange Blue Black Blue Green\nPink Black Black Black Blue\nPink Yellow Black Black Pink\nGreen Black Black Black Black\nBlack Black Green Blue Red\nGreen Green Black Black Black\n\nOutput:\nBlack Black Black Red Green\nPink Yellow Black Green Black\nGreen Black Red Black Yellow\nOrange Blue Black Blue Green\nPink Black Black Black Blue\nPink Yellow Black Black Pink\nGreen Black Black Black Black\nBlack Black Green Blue Red\nYellow Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Red Pink Black Black Blue Black Red Yellow\nOrange Black Red Green Black Yellow Green Black Black\nPink Black Black Orange Black Black Black Black Blue\nBlue Red Black Red Orange Blue Black Black Blue\nBlue Red Black Yellow Black Red Black Black Blue\nBlack Red Green Black Pink Black Black Black Black\nBlack Black Black Orange Black Black Blue Orange Black\nRed Orange Black Black Green Black Blue Black Pink\nGreen Red Blue Black Green Black Green Black Blue\n\nOutput:\nBlack Red Pink Black Black Blue Black Red Yellow\nOrange Black Red Green Black Yellow Green Black Black\nPink Black Black Orange Black Black Black Black Blue\nBlue Red Black Red Orange Blue Black Black Blue\nBlue Red Black Yellow Black Red Black Black Blue\nBlack Red Green Black Pink Black Black Black Black\nBlack Black Black Orange Black Black Blue Orange Black\nRed Orange Black Black Yellow Black Blue Black Pink\nGreen Red Blue Black Yellow Black Green Black Blue\n\n\nExample 3\nInput:\nRed Blue Black Red Red Pink Black Yellow\nBlack Black Pink Black Black Orange Blue Black\nRed Black Black Black Black Red Black Black\nBlack Black Yellow Blue Black Black Black Black\nBlack Orange Black Blue Blue Black Black Blue\nBlack Orange Orange Black Orange Orange Yellow Orange\nGreen Green Green Black Black Black Black Black\nBlack Pink Green Black Green Green Black Red\nOrange Black Pink Blue Black Green Black Blue\n\nOutput:\nRed Blue Black Red Red Pink Black Yellow\nBlack Black Pink Black Black Orange Blue Black\nRed Black Black Black Black Red Black Black\nBlack Black Yellow Blue Black Black Black Black\nBlack Orange Black Blue Blue Black Black Blue\nBlack Orange Orange Black Orange Orange Yellow Orange\nGreen Green Green Black Black Black Black Black\nBlack Pink Green Black Yellow Yellow Black Red\nOrange Black Pink Blue Black Yellow Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Pink Blue Pink Green\nOrange Black Black Blue Black Black\nBlue Black Black Pink Orange Black\nBlack Black Blue Black Black Blue\nGreen Black Black Green Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Pink Blue Pink Green\nOrange Black Black Blue Black Black\nBlue Black Black Pink Orange Black\nBlack Black Blue Black Black Blue\nGreen Black Black Yellow Yellow 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\nPurple Purple Purple Black\nBlack Purple Purple Purple\nBlack Purple Black Purple\nBlue Blue Blue Blue\nBrown Brown Brown Black\nBlack Brown Brown Brown\nBrown Black Brown Brown\nBlack Brown Black Black\nBlue Blue Blue Blue\nBlack Black Pink Pink\nBlack Pink Black Black\nBlack Pink Black Black\nPink Pink Pink Pink\n\nOutput:\nBrown Brown Brown Pink\nPurple Purple Purple Brown\nBrown Purple Purple Purple\nPink Purple Pink Purple\n\n\nExample 2\nInput:\nBlack Purple Purple Black\nBlack Purple Purple Purple\nBlack Purple Purple Black\nBlack Purple Black Purple\nBlue Blue Blue Blue\nBrown Brown Brown Brown\nBrown Brown Black Black\nBlack Brown Black Brown\nBrown Black Black Black\nBlue Blue Blue Blue\nBlack Pink Black Black\nBlack Black Pink Black\nPink Pink Pink Black\nBlack Black Pink Pink\n\nOutput:\nBrown Purple Purple Brown\nBrown Purple Purple Purple\nPink Purple Purple Brown\nBrown Purple Pink Purple\n\n\nExample 3\nInput:\nBlack Purple Purple Purple\nBlack Black Purple Black\nBlack Purple Black Black\nPurple Purple Purple Black\nBlue Blue Blue Blue\nBlack Brown Brown Brown\nBlack Black Black Black\nBrown Brown Black Brown\nBrown Black Brown Black\nBlue Blue Blue Blue\nPink Black Pink Black\nPink Pink Black Pink\nPink Black Black Black\nBlack Black Pink Pink\n\nOutput:\nPink Purple Purple Purple\nPink Pink Purple Pink\nBrown Purple Black Brown\nPurple Purple Purple Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple\nPurple Black Purple Purple\nBlack Black Black Black\nBlack Purple Purple Black\nBlue Blue Blue Blue\nBrown Black Black Brown\nBrown Brown Brown Brown\nBrown Brown Black Black\nBrown Black Black Brown\nBlue Blue Blue Blue\nBlack Black Pink Black\nBlack Black Pink Pink\nPink Black Pink Pink\nPink Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple\nPurple Brown Purple Purple\nBrown Brown Pink Pink\nBrown Purple Purple Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Brown\nBlack Black Black Black Pink Pink Pink Black Brown Brown\n\nOutput:\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Brown\nBlack Black Black Black Pink Pink Pink Black Brown Brown\n\n\nExample 2\nInput:\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nPurple Purple Black Purple Black Black Black Black Black Black\nPurple Purple Black Purple Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nPurple Purple Black Purple Black Black Black Black Black Black\nPurple Purple Black Purple Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Black Brown Brown Brown 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\nBrown Brown Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Purple Purple Black\nBlack Black Red Red Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Purple Purple Black\nBlack Black Red Red Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Brown Black Black Black\nBlack Black Black Black Brown Black Black Black Black Brown Black\nBlack Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Brown Black\nBlack Brown Black Brown Black Black Black Brown Black Black Black\nBrown Black Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Green Black Green Black Black Black Black Black Black Green\nBlack Green Black Black Black Black Green Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black Black Black Green\nBlack Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Green Black Green Black Green Black Green\nBlack Black Green Black Black Black Black Green Black Green Black Black Black\nGreen Black Black Black Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Green\nBlack Black Green Black Black Green Black Black Green Black Black Black Black\nBlack Black Black Green Black Black Black Green Black Green Black Green Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Gray Black Black Gray Black Gray Black Black Gray Black Black Gray Black\nBlack Black Black Gray Black Black Black Black Black Black Black Gray Black Black\nGray Black Black Black Gray Black Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Gray Black Black Black Black Black Black\nGray Black Black Gray Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Gray Black Black Gray Black Gray\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Gray Black Black\nBlack Black Gray Black Gray Black Gray Black Black Gray Black Black Black Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Red Black Red Black Black Black Black\nBlack Red Black Red Black Black Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Red Black Black Black Black Black Red Black\nRed Black Black Black Black Red Black Red Black Red Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nRed Black Black Black Red Black Red Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nBlue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Yellow Blue Black Black Black Black Black Black\nBlack Red Black Black Yellow Black Orange Black Black\nPurple Orange Black Orange Black Black Black Black Black\nBlack Gray Black Black Black Pink Black Black Green\nBlack Black Brown Black Orange Black Black Brown Black\nBlack Black Black Black Pink Black Green Black Yellow\nBlack Black Yellow Black Black Black Green Black Purple\nBlack Brown Orange Black Black Black Black Black Pink\nPurple Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Black Yellow Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Pink Black Pink Black Black Green\nBlack Brown Black Black Orange Black Black Brown Black\nYellow Black Green Black Pink Black Green Black Yellow\nPurple Black Green Black Black Black Green Black Purple\nPink Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBrown Black Purple Black Brown Yellow Black Black Black Black Blue\nBlack Black Green Gray Black Green Orange Black Black Black Black\nBlack Yellow Black Black Black Blue Black Black Black Pink Black\nBlack Orange Black Pink Black Black Black Black Black Black Purple\nBlack Purple Black Brown Pink Black Black Black Black Orange Black\nBlack Black Black Black Yellow Gray Black Black Black Purple Black\nOrange Black Black Purple Red Black Black Blue Green Black Black\nBlack Black Gray Black Black Black Black Black Orange Yellow Black\n\nOutput:\nBlue Black Black Black Black Yellow Black Black Black Black Blue\nBlack Black Black Black Orange Green Orange Black Black Black Black\nBlack Pink Black Black Black Blue Black Black Black Pink Black\nPurple Black Black Black Black Black Black Black Black Black Purple\nBlack Orange Black Black Black Black Black Black Black Orange Black\nBlack Purple Black Black Black Gray Black Black Black Purple Black\nBlack Black Green Blue Black Black Black Blue Green Black Black\nBlack Yellow Orange Black Black Black Black Black Orange Yellow Black\n\n\nExample 3\nInput:\nBlack Pink Black Yellow Black Black Yellow Black Black Brown\nBlack Black Black Black Brown Black Pink Black Black Blue\nBlack Black Black Gray Black Blue Green Black Black Black\nBlack Black Black Black Pink Black Black Black Green Black\nBlack Black Orange Black Black Black Brown Black Black Black\nBlue Black Yellow Gray Black Pink Black Gray Black Gray\nBlack Black Brown Black Black Black Black Purple Black Black\nOrange Black Black Black Black Black Black Black Brown Orange\n\nOutput:\nBrown Black Black Yellow Black Black Yellow Black Black Brown\nBlue Black Black Pink Black Black Pink Black Black Blue\nBlack Black Black Green Blue Blue Green Black Black Black\nBlack Green Black Black Black Black Black Black Green Black\nBlack Black Black Brown Black Black Brown Black Black Black\nGray Black Gray Black Pink Pink Black Gray Black Gray\nBlack Black Purple Black Black Black Black Purple Black Black\nOrange Brown Black Black Black Black Black Black Brown Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Black Black Black Black Pink Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black\nBlack Yellow Purple Black Gray Black Black Black Pink Black\nBlack Black Brown Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nRed Black Black Black Black Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Brown Black Black\nGreen Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Pink Black\nBlack Black Gray Black Black Black Black Gray Black Black\nPink Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Green Green 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 Purple Brown Pink Yellow Pink\nBlack Black Black Black Black Black Black Black Purple Brown Pink Yellow Black\nBlack Black Black Black Black Black Black Black Purple Brown Pink Black Black\nBlack Black Black Black Black Black Black Black Purple Brown Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nPink Yellow Pink Brown Purple Black Black Black Black Black Black Black Black\nBlack Yellow Pink Brown Purple Black Black Black Black Black Black Black Black\nBlack Black Pink Brown Purple Black Black Black Black Black Black Black Black\nBlack Black Black Brown Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Pink Green Red Blue Yellow\nBlack Black Black Black Black Black Black Pink Green Red Blue Black\nBlack Black Black Black Black Black Black Pink Green Red Black Black\nBlack Black Black Black Black Black Black Pink Green Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow 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 Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Blue Red Green Pink Black Black Black Black Black Black Black\nBlack Blue Red Green Pink Black Black Black Black Black Black Black\nBlack Black Red Green Pink Black Black Black Black Black Black Black\nBlack Black Black Green Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Brown\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow 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 Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow 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 Black Black Black Black\nYellow Yellow Yellow Yellow 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 Pink Green Gray Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Green Gray Black\nBlack Black Black Black Black Black Black Black Black Black Pink Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Yellow Black Yellow Green Blue Blue Blue Black Green Yellow Blue Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Blue\nYellow Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Orange Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Blue Green Black Blue Black Black Green Black Blue Yellow Black Green Black Yellow Green Black\n\nOutput:\nBlack Black Green Yellow Yellow Yellow Yellow Green Green Blue Blue Green Yellow Blue Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Orange Green Black Black Black Yellow\nYellow Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Blue\nYellow Black Black Black Black Black Orange Orange Orange Orange Orange Orange Blue Black Black Black Blue\nYellow Black Black Black Black Black Orange Orange Orange Orange Black Orange Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Yellow\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Green\nBlue Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nYellow Blue Green Black Blue Black Black Green Black Blue Yellow Black Green Black Yellow Green Black\n\n\nExample 2\nInput:\nBlack Gray Green Gray Black Gray Green Gray Gray Brown Brown Gray Green Green Black\nGray Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Green\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Gray\nGray Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Gray\nGreen Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Gray\nBrown Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Gray\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Green Gray Black Green Black Gray Gray Gray Gray Black Black Gray Brown Black\n\nOutput:\nBlack Gray Green Gray Green Brown Green Gray Gray Gray Green Gray Green Green Black\nGray Black Black Black Orange Orange Orange Orange Orange Orange Black Green Black Black Green\nGreen Black Black Black Orange Orange Orange Orange Orange Orange Black Gray Black Black Gray\nGray Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Gray\nGreen Black Black Black Orange Orange Orange Orange Orange Orange Black Green Black Black Gray\nGray Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Gray\nGreen Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Gray Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Gray Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Gray Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Green Gray Black Green Black Gray Gray Gray Gray Black Black Gray Brown Black\n\n\nExample 3\nInput:\nBlack Purple Black Orange Purple Orange Black Purple Orange Black Orange Brown Black Orange Purple Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nOrange Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Orange\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Purple\nOrange Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Orange Orange Purple Orange Black Black Orange Purple Black Black Orange Black Black\n\nOutput:\nBlack Orange Black Orange Orange Orange Orange Orange Orange Black Orange Brown Black Orange Purple Black\nPurple Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Purple\nPurple Black Black Black Black Black Black Black Gray Gray Gray Orange Gray Gray Black Orange\nOrange Black Black Black Black Black Black Black Gray Gray Gray Purple Gray Gray Black Purple\nOrange Black Black Black Black Black Black Black Gray Gray Gray Orange Gray Gray Black Orange\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBrown Orange Black Orange Orange Purple Orange Black Black Orange Purple Black Black Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Gray Green Green Red Black Gray Green Gray Black Red Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Green\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Gray\nGreen Black Black Pink Pink Pink Pink Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Green\nGray Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Red Black Green Green Gray Red Red Green Red Green Green Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Red Green Green Green Red Green Green Gray Gray Black Gray Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Pink Pink Pink Black Black Black Black Black Black Gray\nRed Black Black Black Pink Pink Pink Black Black Black Black Black Black Red\nGreen Black Black Pink Pink Pink Pink Black Black Black Black Black Black Red\nGray Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Red\nGray Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green\nRed Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Red Black Green Green Green Gray Green Green Green Green Green Gray Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow\nBlack Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Black Black Black Black Black Black Green Green\nGreen Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Green Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Green Black Black\nGreen Green Green Black Black Black Black Green Green Green\nGreen Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Green Black Black\nBlack Green Black Black Black Black Black Green Green Green\nGreen Green Green Black Black Black Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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```\nGray Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Gray\n```",
"role": "assistant"
}
] |
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