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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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue 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 Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Brown Black Black Brown Black Black Black Black\nRed Red Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Red Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Red Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Brown Black Black Brown Black Black Black Black\nGray Gray Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Gray Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Gray Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Black Black Black Pink Pink Pink Black Black Black Black\nPink Pink Black Black Black Pink Pink Pink Black Black Black Black\nPink Pink Black Black Black Pink 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\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 Orange Black Black Black Orange Pink Pink Black Black Black Black\nOrange Orange Black Black Black Orange Pink Pink Black Black Black Black\nOrange Orange Black Black Black Orange 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\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Red Red Red Black Black Black\nGray Black Black Black Black Black Black Black Red Black Black Black Black\nGray Black Black Black Black Black Black Red Red Red Black Black Black\nGray Black Black Black Black Black Black Red Red Red Black Black Black\nGray Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Black Black Black Black Red Red Red Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black\nRed Black Black Black Black Black Black Red Red Red Black Black Black\nRed Black Black Black Black Black Black Red Red Red Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Yellow Black\nBlack Black Yellow Gray Gray Gray Gray Gray Yellow Yellow\nBlack Yellow Yellow Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Gray Gray Black Yellow\nYellow Yellow Black Gray Gray Gray Gray Gray Black Black\nYellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Blue\nBlue Blue Black Blue Blue Blue Blue Blue Black Black\nBlue Blue Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nGreen Green Green Black Green Green Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlue Blue Blue Black Blue Blue Black Black Black Black\nBlue Blue Blue 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 Green Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Green Black Black\nBlack Gray Gray Gray Gray Gray Gray Green Green Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Green Green Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black\nGreen Gray Gray Gray Gray Gray Gray Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue 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\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Purple Green\nBlack Black Black Black Black Purple Green Black Red Yellow\nBlack Black Black Black Black Black Blue Orange Black Black\nBlack Black Black Black Black Orange Black Black Brown Pink\nBlack Black Black Black Black Black Brown Pink Yellow Purple\n\nOutput:\nYellow Pink Black Black Black Black Black Black Purple Green\nGreen Blue Black Yellow Pink Purple Green Black Red Yellow\nBlack Black Brown Red Black Black Blue Orange Black Black\nPurple Orange Black Black Brown Orange Black Black Brown Pink\nPink Green Purple Orange Black Black Brown Pink Yellow Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Purple Blue Black Blue\nBlack Black Black Black Black Purple Blue Orange Black Black\nBlack Black Black Black Black Green Black Orange Pink Purple\nBlack Black Black Black Black Brown Brown Black Black Brown\nBlack Black Black Black Black Red Black Red Black Orange\n\nOutput:\nRed Black Red Pink Black Black Purple Blue Black Blue\nBlack Black Brown Red Pink Purple Blue Orange Black Black\nPink Purple Brown Black Yellow Green Black Orange Pink Purple\nOrange Black Black Orange Orange Brown Brown Black Black Brown\nBrown Black Blue Black Blue Red Black Red Black Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Gray Orange Black\nBlack Black Black Black Black Gray Brown Black Purple Green\nBlack Black Black Black Black Yellow Black Black Gray Pink\nBlack Black Black Black Black Blue Black Red Black Black\n\nOutput:\nOrange Orange Black Black Black Black Black Black Brown Brown\nBlack Brown Black Black Black Black Black Gray Orange Black\nYellow Pink Black Orange Black Gray Brown Black Purple Green\nPurple Black Black Black Green Yellow Black Black Gray Pink\nBlack Black Blue Black Red Blue Black Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Purple Black Purple Brown\nBlack Black Black Black Black Black Black Blue Black Pink\nBlack Black Black Black Black Black Yellow Purple Black Orange\nBlack Black Black Black Black Black Black Gray Black Blue\nBlack Black Black Black Black Black Black Black Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Pink Black Pink Black Black Purple Black Purple Brown\nPurple Black Red Black Black Black Black Blue Black Pink\nBrown Black Pink Green Black Black Yellow Purple Black Orange\nRed Black Black Black Black Black Black Gray Black Blue\nBlack Black Black Black Black Black Black Black Gray Black\n```",
"role": "assistant"
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]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black\nBlack Yellow Yellow Black Yellow Yellow Black Black\nBlack Yellow Yellow Black Yellow Yellow 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 Blue Blue Black Black\nBlack Black Black Black Black Green Black Black\nBlack Pink Pink Black Yellow Yellow Black Black\nBlack Pink Pink Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Yellow Yellow\nBlack Black Black Blue Blue Black Yellow Yellow\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow\nBlack Red Red Black Black Black Yellow Yellow\nBlack Red Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Pink Pink\nBlack Black Black Yellow Yellow Black Yellow Yellow\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow\nBlack Green Green Black Black Black Yellow Yellow\nBlack Black Red Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nYellow Yellow Pink Pink Black Black Black Black\nYellow Yellow Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow 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 Red Red Black Black Black Black\nPink Pink Red Red Black Black Black Black\nPink Pink Green Green Black Black Black Black\nPink Pink Green Green Black Black Black Black\nPink Pink Pink Black Black Black Black Black\nPink Pink 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 Black\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black 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 Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black 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 Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue 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\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Purple Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Orange Black Black Purple Purple Purple\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black\nBlack Orange Orange Orange Black\nOrange Orange Orange Orange Orange\nBlack Orange Orange Orange Black\nBlack Black Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Blue Black Black Yellow Yellow Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Red Red Red Black Black\nBrown Brown Black Black Red Red Red Red Red Black\nBrown Brown Black Black Red Red Red Red Red Black\nBrown Brown Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Black Black\n\nOutput:\nBlack Red Red Red Black\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nBlack Red Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Brown Brown Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black\nBlack Brown Black Brown Black Black Black Black Black Black\nBlack Brown 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 Black Black Black Pink Pink Pink\nBlack Gray Gray Gray Black Black Black Black Black Pink\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown\nBrown Brown Brown\nBrown Black Brown\nBrown Black Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Brown Green Green Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Red Red Brown Black\n\nOutput:\nBlack Black Black Green Green Brown Black Black Brown Green Green Black Black Black\nBlack Black Black Green Black Brown Brown Brown Brown Black Green Black Black Black\nBrown Brown Black Green Black Black Black Black Black Black Green Black Brown Brown\nBlack Brown Red Red Black Black Black Black Black Black Red Red Brown Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Purple Pink Pink\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Green Black Green Green\nBlack Black Black Black Black Black Green Black Green Black\n\nOutput:\nBlack Pink Pink Pink Black Black Pink Pink Pink Black\nPink Pink Purple Pink Pink Pink Pink Purple Pink Pink\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Green Black Green Green\nBlack Green Black Green Black Black Green Black Green Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Orange Red Red Red Red Orange\nBlack Black Black Black Black Black Pink Pink Red Red Pink Pink\nBlack Black Black Black Black Black Red Pink Blue Blue Pink Red\nBlack Black Black Black Black Black Red Red Orange Orange Red Red\nBlack Black Black Black Black Black Red Brown Gray Gray Brown Red\n\nOutput:\nOrange Red Red Red Red Orange Orange Red Red Red Red Orange\nPink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink\nRed Pink Blue Blue Pink Red Red Pink Blue Blue Pink Red\nRed Red Orange Orange Red Red Red Red Orange Orange Red Red\nRed Brown Gray Gray Brown Red Red Brown Gray Gray Brown Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Yellow Green Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Blue Blue Black Black Black\nBlack Black Black Blue Blue Black Black Black\nBlue Blue Green Yellow Yellow Green 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\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black\nBlack 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 Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\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 Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black 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\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange\n\n\nExample 2\nInput:\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black\nBrown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nRed\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nRed\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 Gray Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray 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```\nGray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated 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 Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Purple Black Purple Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nOrange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Orange Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black\nOrange Orange Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black\nOrange Orange Orange Orange Orange Orange Blue Blue Red Red Red Red Red Red Black Black Black Black\nOrange Orange Orange Orange Orange Orange Blue Blue Red Red Red Red Red Red Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlue Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nOrange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nOrange Orange Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nOrange Orange Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red\nOrange Orange Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Blue Blue Red Red Red Red Red Red Black Black\nOrange Orange Orange Orange Orange Orange Blue Blue Red Red Red Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black\nBlue Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Red Red\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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nGreen Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Green Green Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black\nBlack Black Green Green Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black\nGreen Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown 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\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 Red Red Red Red Red Red Black Black\nBlack 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 Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nGreen Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Green Green Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown\nBlack Black Green Green Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown\nBlack 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 Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Black Black\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nGreen 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Yellow Yellow Yellow 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 Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Blue Blue Black\nBlack Yellow Blue Blue Black\nYellow Yellow Yellow Black Black\nBlack Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Yellow Blue Blue Black\nYellow Yellow Blue Blue Black\nBlack Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Yellow Black Black Black\nYellow Yellow Yellow Black Black\nBlack Yellow Blue Blue Black\nBlack Black Blue Blue Black\nBlack Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Black\nYellow Yellow Blue Blue Black\nBlack Yellow Blue Blue Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Black\nBlack Black Yellow Yellow Yellow\nBlack Blue Blue Yellow Black\nBlack Blue Blue Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Black\nBlack Blue Blue Yellow Yellow\nBlack Blue Blue Yellow Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Blue\nBlack Black Black Blue Blue\nBlack Black Black Yellow Black\nBlack Black Yellow Yellow Yellow\nBlack Black Black Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Blue Blue\nBlack Black Black Blue Blue\nBlack Black Yellow Yellow Yellow\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:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nPurple Black Black Black Purple Black Blue Black Black\nBlack Black Black Red Black Black Blue Black Purple\nOrange Orange Black Black Black Black Black Brown Black\nOrange Orange Black Black Black Black Black Red Black\nBlack Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nPurple Black Black Black Purple Black Blue Black Black\nBlack Black Black Red Black Black Blue Black Purple\nYellow Yellow Black Black Black Black Black Brown Black\nYellow Yellow Black Black Black Black Black Red Black\nBlack Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow\n\n\nExample 2\nInput:\nPink Green Green Black Blue Black Black Blue Black\nBlack Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple\nPink Black Black Green Green Black Blue Black Black\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Yellow Black Black Black Black Black Black Black\n\nOutput:\nPink Gray Gray Black Blue Black Black Blue Black\nBlack Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple\nPink Black Black Gray Gray Black Blue Black Black\nBlack Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Yellow Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Brown Black Black Black Black Black Black\nBlue Black Black Black Black Brown Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Purple Black Black Green Green Black Green Green\nBrown Black Black Black Green Green Black Green Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black\n\nOutput:\nBlack Black Brown Black Black Black Black Black Black\nBlue Black Black Black Black Brown Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Purple Black Black Gray Gray Black Gray Gray\nBrown Black Black Black Gray Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Gray Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Blue Black Black Gray\nRed Black Purple Black Black Pink Black Black Black\nBrown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Green Green\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```\nPurple Black Black Black Gray Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Blue Black Black Gray\nRed Black Purple Black Black Pink Black Black Black\nBrown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Gray Gray\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\nBlack Black Black Black Black Black 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 Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack 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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black 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 Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black 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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack 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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Orange Red Black Black Black\nBlack Black Black Black Blue Blue Blue Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Orange Red Black Black Black\nBlack Black Blue Blue Blue Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\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 Gray 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 Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Gray Red Black Black Black\nBlack Black Black Blue Blue Blue Red Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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\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 Blue Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Pink Red Black\nBlack Black Black Blue Blue Blue Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Black Orange Orange Orange\nOrange Black Black Orange Black Orange Orange Black\nOrange Orange Black Orange Orange Orange Orange Black\nOrange Orange Black Black Black Black Orange Orange\nBlack Orange Orange Black Orange Orange Black Orange\nBlack Orange Orange Black Orange Black Orange Black\nBlack Orange Orange Orange Orange Black Orange Orange\nBlack Orange Black Orange Orange Orange Orange Orange\nOrange Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Orange Orange\nOrange Black Orange Black Black Orange Orange Black\nOrange Orange Black Orange Black Black Orange Orange\nBlack Black Orange Orange Black Orange Black Black\nBlack Orange Black Black Black Orange Black Black\nBlack Black Orange Orange Orange Black Orange Orange\nOrange Black Orange Black Orange Black Orange Orange\nOrange Orange Black Orange Orange Black Orange Orange\nBlack Orange Black Black Orange Black Orange Orange\n\nOutput:\nOrange Orange Orange Orange Black Orange Orange Orange\nOrange Black Black Orange Black Orange Orange Black\nOrange Orange Black Orange Orange Orange Orange Black\nOrange Orange Black Black Black Black Orange Orange\nBlack Orange Orange Black Orange Orange Black Orange\nBlack Orange Orange Black Orange Black Orange Black\nBlack Orange Orange Orange Orange Black Orange Orange\nBlack Orange Black Orange Orange Orange Orange Orange\nOrange Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Orange Orange\nOrange Black Orange Black Black Orange Orange Black\nOrange Orange Black Orange Black Black Orange Orange\nBlack Black Orange Orange Black Orange Black Black\nBlack Orange Black Black Black Orange Black Black\nBlack Black Orange Orange Orange Black Blue Blue\nOrange Black Orange Black Orange Black Blue Blue\nOrange Orange Black Orange Orange Black Blue Blue\nBlack Orange Black Black Orange Black Blue Blue\n\n\nExample 2\nInput:\nOrange Black Orange Black Black Black Black Orange Orange Orange\nOrange Black Black Black Orange Black Black Black Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange Black\nOrange Orange Black Orange Orange Black Orange Black Orange Orange\nOrange Black Black Orange Black Black Orange Orange Black Orange\nBlack Black Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Black Black Black Orange Black Orange Orange\n\nOutput:\nOrange Black Orange Black Black Black Black Orange Orange Orange\nOrange Black Black Black Orange Black Black Black Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange Black\nOrange Orange Black Orange Orange Black Orange Black Orange Orange\nOrange Black Black Orange Black Black Orange Orange Black Orange\nBlack Black Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Black Black Black Orange Black Blue Blue\n\n\nExample 3\nInput:\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange\nOrange Orange Orange Black Black Orange Black Orange Black Orange Orange\nOrange Orange Black Black Orange Black Black Orange Orange Black Black\nBlack Black Orange Orange Black Orange Orange Orange Black Orange Black\nOrange Black Orange Orange Orange Orange Orange Black Orange Black Black\nOrange Orange Orange Orange Black Orange Orange Orange Black Black Orange\nBlack Black Black Orange Orange Black Orange Orange Black Black Orange\n\nOutput:\nOrange Orange Black Black Black Black Orange Orange Orange Orange Orange\nOrange Orange Orange Black Black Orange Black Orange Black Orange Orange\nOrange Orange Black Black Orange Black Black Orange Orange Black Black\nBlack Black Orange Orange Black Orange Orange Orange Black Orange Black\nOrange Black Orange Orange Orange Orange Orange Black Orange Black Black\nOrange Orange Orange Orange Black Orange Orange Orange Black Black Blue\nBlack Black Black Orange Orange Black Orange Orange Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Black Black Orange Orange Black Orange Black\nBlack Black Black Black Black Orange Orange Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Black Orange Black\nOrange Orange Orange Black Orange Orange Black Orange Orange\nOrange Black Black Black Orange Orange Black Black Orange\nOrange Black Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Black Orange Black Orange Orange Black\nBlack Orange Black Orange Orange Orange 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```\nOrange Black Black Black Orange Orange Black Orange Black\nBlack Black Black Black Black Orange Orange Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Black Orange Black\nOrange Orange Orange Black Orange Orange Black Orange Orange\nOrange Black Black Black Orange Orange Black Black Orange\nOrange Black Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Black Orange Black Orange Orange Black\nBlack Orange Black Orange Orange Orange 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 Green Green Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Green Green Black Blue Black Blue Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Green Black Blue Blue Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Blue Blue Blue Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Blue Black Black Black Black\nRed 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 Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Red Green\nBlack Black Black Red Black Black Black\nBlack Black Green Green Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Green Red Red Black\nBlack Black Black Black Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Red Black Black Black\nBlack Red Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Green\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Black Black Black\nBlack Red Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Red Red Blue Black Black\nBlack Black Black Blue Black Blue Black\nBlack Blue Black Blue Blue Green Green\nBlue Black Black Black Black Green Black\nRed Red Black Black Black Green Green\nBlack Black Black Black Black Black Red\nBlue Blue Black Black Black Red Red\nBlue Blue Black Black Black Black Black\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Black Blue Black Black\nBlack Black Black Black Black Blue Black\nBlack Blue Black Blue Black Black Black\nBlue Black Black Black Black Green Black\nRed Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Red Black\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue Black Black Black Black\nBlue Blue Black Black Blue Blue Blue Black Black\nBlue Blue Blue Black Black Blue Black Black Black\nBlack Blue Red Red Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Red\nBlack Black Red Red Black Black Red Red Red\nBlack Black Black Black Black Green Green Red Red\nBlack Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Green 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\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 Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack 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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Gray Gray Gray Black Black Black\nBlack Black Black Black Blue Black Gray Black Black Black Blue Gray Gray Gray Black Black Black\nBlack Black Black Black Blue Gray Gray Gray Black Black Blue Gray Gray Gray Black Black Black\nBlack Black Black Black Blue Gray Gray Gray Black Black Blue Gray Gray Gray Gray Black Black\nBlack Black Black Black Blue Gray Gray Gray Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Blue Black Gray Black Black Black Black\nBlack Black Blue Gray Black Black Black Black Blue Gray Gray Gray Black Black Black\nBlack Black Blue Black Black Black Black Black Blue Gray Gray Gray Gray Black Black\nBlack Green Gray Gray Black Black Black Black Blue Gray Gray Gray Black Black Black\nBlack Gray Green Gray Black Black Black Black Blue Black Gray Black Black Black Black\nBlack Black Black Green Black Black Black Black Blue Black Black Black Black Black Black\nBlue Gray Gray Gray Green Black Black Black Black Black Black Black Black Black Black\nBlue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Red Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Red Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Yellow Green Red Red Black Black Red Green Red Red Yellow\nGreen Yellow Yellow Blue Blue Blue Red Blue Green Green Red Blue\nBlack Blue Green Blue Yellow Red Red Blue Green Red Yellow Black\nBlack Blue Yellow Yellow Yellow Green Red Blue Red Black Black Green\nGreen Green Blue Black Yellow Yellow Black Green Green Black Yellow Black\nRed Black Red Black Yellow Green Green Green Green Red Green Blue\nBlue Black Yellow Black Red Blue Blue Black Red Black Yellow Green\nBlack Green Red Green Green Black Blue Red Green Green Blue Yellow\n\nOutput:\nBlack Yellow Blue Yellow Yellow Black Green Blue Yellow Yellow Green Red\nGreen Black Red Black Blue Green Green Black Blue Black Red Yellow\nBlue Black Blue Black Red Yellow Yellow Yellow Yellow Blue Yellow Green\nYellow Yellow Green Black Red Red Black Yellow Yellow Black Red Black\nBlack Green Red Red Red Yellow Blue Green Blue Black Black Yellow\nBlack Green Yellow Green Red Blue Blue Green Yellow Blue Red Black\nYellow Red Red Green Green Green Blue Green Yellow Yellow Blue Green\nBlue Red Yellow Blue Blue Black Black Blue Yellow Blue Blue Red\n\n\nExample 2\nInput:\nBlue Yellow Blue Blue Black Red Red Green Black Black\nRed Blue Yellow Black Blue Yellow Green Blue Yellow Black\nBlue Black Yellow Black Blue Red Yellow Blue Green Red\nYellow Red Yellow Black Yellow Yellow Green Green Yellow Blue\nGreen Green Green Red Red Red Yellow Yellow Red Black\nGreen Red Black Red Black Red Blue Red Blue Black\nBlue Black Red Green Blue Green Yellow Red Yellow Green\n\nOutput:\nGreen Black Blue Yellow Green Yellow Red Blue Red Yellow\nYellow Blue Black Blue Black Blue Green Blue Green Black\nYellow Yellow Yellow Blue Blue Blue Red Red Blue Black\nRed Blue Red Black Red Red Yellow Yellow Red Green\nGreen Black Red Black Green Blue Red Green Yellow Blue\nBlue Green Red Black Green Red Yellow Green Red Black\nGreen Red Green Green Black Blue Blue Yellow Black Black\n\n\nExample 3\nInput:\nBlack Green Red Black Green Green Red Red Yellow Red Yellow\nBlack Red Yellow Blue Yellow Red Green Yellow Green Red Black\nBlack Green Green Red Blue Black Blue Black Red Yellow Red\nBlue Black Green Black Red Green Red Yellow Black Red Blue\nBlack Yellow Black Blue Blue Yellow Yellow Blue Black Yellow Green\nRed Red Red Green Black Green Green Yellow Red Blue Blue\nBlack Red Green Black Blue Blue Green Yellow Yellow Red Black\n\nOutput:\nBlack Blue Yellow Black Green Green Yellow Red Red Blue Black\nBlue Blue Blue Yellow Black Yellow Yellow Red Blue Green Green\nBlack Red Black Green Green Red Red Green Black Red Yellow\nGreen Black Yellow Black Blue Yellow Blue Red Black Blue Green\nBlack Yellow Yellow Blue Green Black Green Black Blue Red Blue\nBlack Blue Red Green Red Blue Yellow Red Yellow Blue Black\nBlack Yellow Blue Black Yellow Yellow Blue Blue Red Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Blue Green Yellow Blue Green Green Blue\nBlue Green Yellow Black Red Black Green Yellow Blue\nBlue Red Blue Green Blue Black Black Yellow Black\nRed Yellow Black Red Yellow Red Red Blue Blue\nYellow Blue Green Red Yellow Green Red Green Black\nGreen Black Blue Black Green Yellow Red Blue Red\nBlue Blue Black Blue Red Black Yellow Blue Red\nYellow Green Red Red Yellow Red Black Black Red\nRed Green Yellow Black Red Green Black Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Yellow Red Black Blue Yellow Black Green Black\nRed Yellow Blue Blue Red Blue Black Black Blue\nGreen Green Black Green Blue Black Red Green Blue\nYellow Black Green Black Yellow Red Blue Green Blue\nRed Green Yellow Blue Red Yellow Blue Yellow Black\nBlue Red Black Blue Red Blue Blue Green Green\nGreen Blue Green Yellow Green Black Black Red Black\nGreen Yellow Red Black Blue Black Yellow Red Green\nBlack Red Green Yellow Red Green Yellow Yellow 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 Purple Black Black Black Black\nBlack Black Orange Yellow Yellow Green Orange Black Black\nBlack Green Purple Yellow Gray Brown Purple Brown Black\nBlack Orange Green Orange Blue Purple Green Green Black\nBlue Pink Gray Purple Orange Yellow Purple Red Orange\nBlack Green Orange Orange Brown Orange Gray Orange Black\nBlack Brown Purple Gray Pink Orange Brown Green Black\nBlack Black Purple Orange Pink Yellow Pink Black Black\nBlack Black Black Black Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Orange Orange Brown Orange Gray Orange Black Black Green Orange Orange\nBlack Black Black Black Black Black Brown Purple Gray Pink Orange Brown Green Black Black Brown Purple Gray\nBlack Black Black Black Black Black Black Purple Orange Pink Yellow Pink Black Black Black Black Purple Orange\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Yellow Yellow Green Orange Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Green Purple Yellow Gray Brown Purple Brown Black Black Green Purple Yellow\nBlack Black Black Black Black Black Orange Green Orange Blue Purple Green Green Black Black Orange Green Orange\nBlack Black Black Black Black Blue Pink Gray Purple Orange Yellow Purple Red Orange Blue Pink Gray Purple\nBlack Black Black Black Black Black Green Orange Orange Brown Orange Gray Orange Black Black Green Orange Orange\nBlack Black Black Black Black Black Brown Purple Gray Pink Orange Brown Green Black Black Brown Purple Gray\nBlack Black Black Black Black Black Black Purple Orange Pink Yellow Pink Black Black Black Black Purple Orange\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Brown Black Black Black Black Black\nBlack Black Gray Purple Purple Orange Green Red Red Black Black\nBlack Brown Brown Purple Purple Purple Red Yellow Gray Orange Black\nBlack Orange Yellow Brown Gray Gray Orange Pink Orange Orange Black\nBlack Gray Pink Gray Yellow Purple Pink Orange Red Pink Black\nPurple Pink Orange Blue Green Red Pink Blue Purple Red Purple\nBlack Pink Green Green Yellow Yellow Orange Yellow Blue Purple Black\nBlack Brown Purple Purple Brown Pink Orange Blue Orange Brown Black\nBlack Gray Red Orange Brown Blue Purple Brown Gray Brown Black\nBlack Black Orange Yellow Blue Red Green Pink Blue Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Pink Green Green Yellow Yellow Orange Yellow Blue Purple Black Black Pink Green Green Yellow\nBlack Black Black Black Black Black Black Brown Purple Purple Brown Pink Orange Blue Orange Brown Black Black Brown Purple Purple Brown\nBlack Black Black Black Black Black Black Gray Red Orange Brown Blue Purple Brown Gray Brown Black Black Gray Red Orange Brown\nBlack Black Black Black Black Black Black Black Orange Yellow Blue Red Green Pink Blue Black Black Black Black Orange Yellow Blue\nBlack Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Purple Purple Orange Green Red Red Black Black Black Black Gray Purple Purple\nBlack Black Black Black Black Black Black Brown Brown Purple Purple Purple Red Yellow Gray Orange Black Black Brown Brown Purple Purple\nBlack Black Black Black Black Black Black Orange Yellow Brown Gray Gray Orange Pink Orange Orange Black Black Orange Yellow Brown Gray\nBlack Black Black Black Black Black Black Gray Pink Gray Yellow Purple Pink Orange Red Pink Black Black Gray Pink Gray Yellow\nBlack Black Black Black Black Black Purple Pink Orange Blue Green Red Pink Blue Purple Red Purple Purple Pink Orange Blue Green\nBlack Black Black Black Black Black Black Pink Green Green Yellow Yellow Orange Yellow Blue Purple Black Black Pink Green Green Yellow\nBlack Black Black Black Black Black Black Brown Purple Purple Brown Pink Orange Blue Orange Brown Black Black Brown Purple Purple Brown\nBlack Black Black Black Black Black Black Gray Red Orange Brown Blue Purple Brown Gray Brown Black Black Gray Red Orange Brown\nBlack Black Black Black Black Black Black Black Orange Yellow Blue Red Green Pink Blue Black Black Black Black Orange Yellow Blue\nBlack Black Black Black Black Black 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 Black Black Black 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\n\nExample 3\nInput:\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Brown Yellow Pink Pink Purple Pink Green Black Black\nBlack Blue Orange Green Gray Blue Green Blue Gray Pink Black\nBlack Yellow Yellow Blue Orange Yellow Brown Brown Pink Purple Black\nBlack Purple Red Brown Green Blue Green Yellow Green Blue Black\nYellow Brown Pink Blue Gray Green Gray Blue Blue Purple Orange\nBlack Red Yellow Pink Purple Orange Gray Pink Purple Brown Black\nBlack Orange Green Purple Blue Blue Brown Green Orange Gray Black\nBlack Orange Purple Pink Orange Gray Pink Blue Purple Yellow Black\nBlack Black Gray Brown Yellow Yellow Red Green Blue Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red Yellow Pink Purple Orange Gray Pink Purple Brown Black Black Red Yellow Pink Purple\nBlack Black Black Black Black Black Black Orange Green Purple Blue Blue Brown Green Orange Gray Black Black Orange Green Purple Blue\nBlack Black Black Black Black Black Black Orange Purple Pink Orange Gray Pink Blue Purple Yellow Black Black Orange Purple Pink Orange\nBlack Black Black Black Black Black Black Black Gray Brown Yellow Yellow Red Green Blue Black Black Black Black Gray Brown Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Yellow Pink Pink Purple Pink Green Black Black Black Black Brown Yellow Pink\nBlack Black Black Black Black Black Black Blue Orange Green Gray Blue Green Blue Gray Pink Black Black Blue Orange Green Gray\nBlack Black Black Black Black Black Black Yellow Yellow Blue Orange Yellow Brown Brown Pink Purple Black Black Yellow Yellow Blue Orange\nBlack Black Black Black Black Black Black Purple Red Brown Green Blue Green Yellow Green Blue Black Black Purple Red Brown Green\nBlack Black Black Black Black Black Yellow Brown Pink Blue Gray Green Gray Blue Blue Purple Orange Yellow Brown Pink Blue Gray\nBlack Black Black Black Black Black Black Red Yellow Pink Purple Orange Gray Pink Purple Brown Black Black Red Yellow Pink Purple\nBlack Black Black Black Black Black Black Orange Green Purple Blue Blue Brown Green Orange Gray Black Black Orange Green Purple Blue\nBlack Black Black Black Black Black Black Orange Purple Pink Orange Gray Pink Blue Purple Yellow Black Black Orange Purple Pink Orange\nBlack Black Black Black Black Black Black Black Gray Brown Yellow Yellow Red Green Blue Black Black Black Black Gray Brown Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Black Black Black\nBlack Blue Orange Orange Pink Gray Black\nBlack Pink Pink Purple Brown Yellow Black\nPink Gray Pink Brown Brown Orange Pink\nBlack Gray Brown Blue Pink Gray Black\nBlack Pink Gray Green Pink Brown Black\nBlack Black Black Gray Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Gray Brown Blue Pink Gray Black Black Gray Brown\nBlack Black Black Black Black Pink Gray Green Pink Brown Black Black Pink Gray\nBlack Black Black Black Black Black Black Gray 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 Blue Orange Orange Pink Gray Black Black Blue Orange\nBlack Black Black Black Black Pink Pink Purple Brown Yellow Black Black Pink Pink\nBlack Black Black Black Pink Gray Pink Brown Brown Orange Pink Pink Gray Pink\nBlack Black Black Black Black Gray Brown Blue Pink Gray Black Black Gray Brown\nBlack Black Black Black Black Pink Gray Green Pink Brown Black Black Pink Gray\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nPink Pink Blue Purple Orange Yellow Pink Blue Gray Pink Orange Purple\nOrange Blue Purple Purple Brown Orange Orange Purple Yellow Orange Pink Purple\nYellow Gray Brown Brown Pink Yellow Blue Red Purple Yellow Orange Purple\nBlue Red Gray Pink Green Blue Green Purple Pink Brown Orange Red\nRed Orange Brown Orange Green Purple Red Gray Orange Gray Brown Yellow\nGreen Brown Brown Blue Yellow Purple Pink Pink Red Gray Brown Gray\nGreen Brown Brown Blue Yellow Purple Pink Pink Red Gray Brown Gray\nRed Orange Brown Orange Green Purple Red Gray Orange Gray Brown Yellow\nBlue Red Gray Pink Green Blue Green Purple Pink Brown Orange Red\nYellow Gray Brown Brown Pink Yellow Blue Red Purple Yellow Orange Purple\nOrange Blue Purple Purple Brown Orange Orange Purple Yellow Orange Pink Purple\nPink Pink Blue Purple Orange Yellow Pink Blue Gray Pink Orange Purple\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nOrange Green Gray Green Orange Orange Brown Blue Brown Blue Brown Green\nGray Blue Pink Purple Gray Gray Pink Blue Green Yellow Brown Gray\nBrown Orange Blue Blue Red Pink Blue Purple Blue Yellow Pink Blue\nYellow Purple Purple Blue Yellow Purple Gray Orange Green Blue Purple Green\nYellow Pink Yellow Brown Pink Brown Green Purple Yellow Orange Blue Blue\nRed Orange Orange Green Purple Yellow Gray Red Green Yellow Orange Gray\nRed Orange Orange Green Purple Yellow Gray Red Green Yellow Orange Gray\nYellow Pink Yellow Brown Pink Brown Green Purple Yellow Orange Blue Blue\nYellow Purple Purple Blue Yellow Purple Gray Orange Green Blue Purple Green\nBrown Orange Blue Blue Red Pink Blue Purple Blue Yellow Pink Blue\nGray Blue Pink Purple Gray Gray Pink Blue Green Yellow Brown Gray\nOrange Green Gray Green Orange Orange Brown Blue Brown Blue Brown Green\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGray Brown Brown Brown Blue Blue Red Purple Brown Yellow Yellow Purple Gray Blue\nPink Blue Brown Yellow Red Orange Pink Yellow Orange Gray Orange Green Orange Yellow\nGray Pink Orange Blue Pink Yellow Green Blue Brown Gray Blue Pink Green Orange\nGreen Gray Pink Orange Brown Purple Green Green Yellow Red Gray Red Orange Brown\nPink Pink Pink Orange Red Green Brown Red Blue Purple Purple Yellow Red Yellow\nBrown Gray Pink Pink Purple Gray Orange Purple Pink Blue Orange Gray Brown Gray\nGray Pink Purple Gray Orange Orange Purple Purple Blue Red Green Brown Yellow Gray\nGray Pink Purple Gray Orange Orange Purple Purple Blue Red Green Brown Yellow Gray\nBrown Gray Pink Pink Purple Gray Orange Purple Pink Blue Orange Gray Brown Gray\nPink Pink Pink Orange Red Green Brown Red Blue Purple Purple Yellow Red Yellow\nGreen Gray Pink Orange Brown Purple Green Green Yellow Red Gray Red Orange Brown\nGray Pink Orange Blue Pink Yellow Green Blue Brown Gray Blue Pink Green Orange\nPink Blue Brown Yellow Red Orange Pink Yellow Orange Gray Orange Green Orange Yellow\nGray Brown Brown Brown Blue Blue Red Purple Brown Yellow Yellow Purple Gray Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen 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:\nBrown Yellow Orange Green Pink Brown Red Pink Gray Yellow Pink Brown Red Purple Brown Red Green Pink\nPurple Green Gray Pink Yellow Green Orange Brown Purple Orange Red Red Pink Purple Purple Gray Pink Purple\nGray Blue Brown Purple Blue Purple Pink Pink Purple Green Orange Orange Red Blue Yellow Orange Red Gray\nYellow Green Yellow Yellow Orange Pink Red Orange Blue Purple Green Gray Green Pink Brown Brown Yellow Red\nPink Gray Red Red Pink Purple Red Brown Yellow Blue Pink Green Pink Blue Orange Purple Orange Brown\nPurple Green Red Blue Brown Green Orange Green Purple Gray Blue Red Orange Purple Gray Blue Yellow Gray\nPink Brown Yellow Brown Purple Brown Purple Pink Gray Pink Brown Blue Yellow Pink Blue Purple Brown Yellow\nBrown Red Green Orange Orange Orange Red Gray Pink Green Gray Red Pink Green Pink Purple Yellow Pink\nBlue Blue Green Brown Gray Red Pink Blue Blue Pink Orange Gray Brown Orange Purple Yellow Brown Purple\nBlue Blue Green Brown Gray Red Pink Blue Blue Pink Orange Gray Brown Orange Purple Yellow Brown Purple\nBrown Red Green Orange Orange Orange Red Gray Pink Green Gray Red Pink Green Pink Purple Yellow Pink\nPink Brown Yellow Brown Purple Brown Purple Pink Gray Pink Brown Blue Yellow Pink Blue Purple Brown Yellow\nPurple Green Red Blue Brown Green Orange Green Purple Gray Blue Red Orange Purple Gray Blue Yellow Gray\nPink Gray Red Red Pink Purple Red Brown Yellow Blue Pink Green Pink Blue Orange Purple Orange Brown\nYellow Green Yellow Yellow Orange Pink Red Orange Blue Purple Green Gray Green Pink Brown Brown Yellow Red\nGray Blue Brown Purple Blue Purple Pink Pink Purple Green Orange Orange Red Blue Yellow Orange Red Gray\nPurple Green Gray Pink Yellow Green Orange Brown Purple Orange Red Red Pink Purple Purple Gray Pink Purple\nBrown Yellow Orange Green Pink Brown Red Pink Gray Yellow Pink Brown Red Purple Brown Red Green Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Green Green Black Black Black Black\nBlack Black Black Black Brown Blue Brown Orange Orange Black Black Black Black\nBlack Black Black Black Black Brown Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Red Red Black Purple Blue Purple Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Blue Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Green Orange Green Black Black Black Black\nBlack Black Black Black Black Black Purple Brown Green Black Black Black Black\nBlack Black Red Red Black Black Blue Brown Black Black Black Black Black\nBlack Black Red Red Black Black Purple Brown 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Purple Yellow Black Black Pink Pink Purple Purple Black\nBlack Blue Purple Black Black Pink Pink Black Purple Black\nBlack Purple Yellow Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Pink Gray Black\nBlack Black Black Black Black Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nPurple Blue Purple Black Black Pink Pink Pink Black Black\nYellow Purple Yellow Black Black Black Black Purple Pink Black\nBlack Black Black Black Black Black Purple Purple 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 Gray Yellow Blue Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Gray Yellow Blue Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Green Red Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Gray Black Gray Black Black\nBlack Black Black Black Black Yellow Orange Yellow Black Black\nBlack Black Black Black Black Blue Black Blue Black Black\nBlue Green Blue Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Black Black\nBlack Yellow Blue Blue Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Yellow Blue Black Black Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nBrown Pink Brown Green Purple\nRed Blue Blue Blue Orange\nBlue Brown Red Brown Brown\nPink Purple Purple Brown Brown\nBlue Blue Green Brown Brown\n\nOutput:\nBrown Pink Brown Green Purple\nRed Blue Blue Blue Orange\nBlue Brown Red Yellow Yellow\nPink Purple Purple Yellow Yellow\nBlue Blue Green Yellow Yellow\n\n\nExample 2\nInput:\nRed Brown Purple Red Blue\nPink Green Red Orange Purple\nRed Red Pink Blue Brown\nPink Purple Green Pink Pink\nRed Green Pink Pink Pink\n\nOutput:\nRed Brown Purple Red Blue\nPink Green Red Orange Purple\nRed Red Pink Blue Brown\nPink Purple Green Yellow Yellow\nRed Green Pink Yellow Yellow\n\n\nExample 3\nInput:\nOrange Brown Pink Orange Brown\nRed Blue Red Green Green\nGreen Green Blue Green Purple\nGreen Green Green Orange Red\nPurple Purple Orange Pink Blue\n\nOutput:\nOrange Brown Pink Orange Brown\nRed Blue Red Green Green\nYellow Yellow Blue Green Purple\nYellow Yellow Green Orange Red\nPurple Purple Orange Pink Blue\n\n\nHere is the input grid for the test example:\nInput:\nPink Orange Pink Green Green\nPink Brown Blue Blue Purple\nGreen Brown Pink Blue Orange\nPink Purple Purple Blue Purple\nBlue Purple Purple Brown Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Orange Pink Green Green\nPink Brown Blue Blue Purple\nGreen Brown Pink Blue Orange\nPink Yellow Yellow Blue Purple\nBlue Yellow Yellow Brown Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Yellow Yellow Black\nBlack Black Black 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 Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Yellow Yellow Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Yellow 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 Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black 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:\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 Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Yellow Black Black Black Black\nBlack Black Blue Blue Blue Black Yellow Yellow Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Blue Blue Blue Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Blue Blue Blue Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\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 Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red 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\nRed Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red\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```\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated 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 Brown Brown Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Brown Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Orange Purple 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 Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Brown Brown Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black\nBlack Pink Black Black Black Brown Black Brown Black Black Black Black\nBlack Black Blue Black Black Black Brown Purple Black Black Black Black\nBlack Black Black Black Black Brown Black Orange Purple Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Purple Black Black Black Black Black Black Black Brown\nBlack Black Black Brown Black Black Black Black Brown Black\nBlack Black Black Black Black Black Blue Brown Black Black\nBlack Black Black Black Black Black Brown Black Green Black\nBlack Gray Black Black Black Brown Black Black Black Black\nBlue Black Black Black Brown Black Black Black Black Gray\nBlack Black Black Brown Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Purple Black Black Black Black Black Brown\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 Red Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Yellow Gray Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Green Black Black Black\nPurple Black Black Black Black Black Brown Black Black Black Black\nBlack Blue Black Yellow Gray Brown Black Black Black Black Black\nGreen Black Black Black Brown Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\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\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Brown Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Gray Black Black Black Black Brown\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Brown Black Pink Black Black\nBlack Black Black Gray Pink Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black\nPurple Black Black Black Brown Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black 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 Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black 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 Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack 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 Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack 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 Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack 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 Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack 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 Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack 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 Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nPurple Brown Green Green Orange Gray Green Brown\nOrange Purple Green Orange Purple Orange Brown Pink\nGreen Brown Green Orange Gray Brown Orange Yellow\nYellow Gray Purple Red Pink Orange Pink Pink\nYellow Yellow Blue Purple Blue Orange Gray Orange\nOrange Purple Orange Yellow Orange Green Purple Purple\n\nOutput:\nOrange Purple Green Orange Purple Orange Brown Pink\nGreen Brown Green Orange Gray Brown Orange Yellow\nYellow Gray Purple Red Pink Orange Pink Pink\nYellow Yellow Blue Purple Blue Orange Gray Orange\nOrange Purple Orange Yellow Orange Green Purple Purple\nPurple Brown Green Green Orange Gray Green Brown\n\n\nExample 2\nInput:\nRed Yellow Orange Brown Gray\nGreen Orange Blue Gray Blue\nBlue Yellow Orange Brown Pink\nOrange Yellow Pink Purple Green\nPink Green Brown Blue Red\nPurple Green Purple Brown Blue\nPurple Pink Purple Orange Yellow\nBlue Brown Brown Red Orange\n\nOutput:\nGreen Orange Blue Gray Blue\nBlue Yellow Orange Brown Pink\nOrange Yellow Pink Purple Green\nPink Green Brown Blue Red\nPurple Green Purple Brown Blue\nPurple Pink Purple Orange Yellow\nBlue Brown Brown Red Orange\nRed Yellow Orange Brown Gray\n\n\nExample 3\nInput:\nOrange Brown Yellow Green Purple\nPurple Yellow Red Orange Orange\nBlue Brown Gray Yellow Blue\nBlue Purple Orange Purple Green\nGray Pink Green Blue Red\nGreen Gray Brown Pink Yellow\nGray Orange Blue Gray Yellow\nBlue Purple Blue Orange Brown\nPink Pink Purple Pink Gray\n\nOutput:\nPurple Yellow Red Orange Orange\nBlue Brown Gray Yellow Blue\nBlue Purple Orange Purple Green\nGray Pink Green Blue Red\nGreen Gray Brown Pink Yellow\nGray Orange Blue Gray Yellow\nBlue Purple Blue Orange Brown\nPink Pink Purple Pink Gray\nOrange Brown Yellow Green Purple\n\n\nHere is the input grid for the test example:\nInput:\nPurple Red Blue Blue Brown Brown Brown\nPurple Orange Orange Gray Purple Pink Gray\nOrange Gray Purple Pink Pink Gray Brown\nBrown Green Red Orange Pink Pink Pink\nGreen Purple Brown Orange Pink Gray Green\nGreen Yellow Pink Blue Orange Pink Gray\nPink Orange Red Yellow Brown Blue Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Orange Orange Gray Purple Pink Gray\nOrange Gray Purple Pink Pink Gray Brown\nBrown Green Red Orange Pink Pink Pink\nGreen Purple Brown Orange Pink Gray Green\nGreen Yellow Pink Blue Orange Pink Gray\nPink Orange Red Yellow Brown Blue Pink\nPurple Red Blue Blue Brown Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Pink Black Black Black\nBlack Black Black Green Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Green Green Green Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Green Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Orange Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Black\nBlack Black Black Black Black Black Black Orange Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Orange Black Black Brown Brown Brown Brown Brown Black Black\nBlack Orange Orange Orange Black Brown Brown Brown Brown Brown Black Black\nOrange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Black\nBlack Orange Orange Orange Black Brown Brown Brown Brown Brown Black Black\nBlack Black Orange Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Yellow Black Black Black Black Black Black Blue Black Black\nBlack Yellow Yellow Yellow Black Pink Black Black Black Black Black Black\nBlack Black Yellow Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Black\nBlack Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black\nBlack Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Brown Black\nBlack Black Black Black Black Black Brown Pink Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown 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 Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\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 Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Brown Black Green Green Green Green Green Black\nBlack Black Black Black Black Brown Brown Brown Black Green Green Green Black Black\nBlack Black Black Black Black Black Brown Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Brown Brown Brown Green Green Green Green Green Black\nBlack Black Black Black Black Brown Brown Brown Green Green Green Green Green Black\nBlack Black Black Black Black Brown Brown Brown Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack 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\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue 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 Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red 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 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 Blue Blue Blue Blue Black Black Red Red Red Red Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Red Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack 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\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 Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Red Red Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Red Red Black Black\nBlack Black Black Black 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 Red Red Red Red Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Red Red Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red 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 Black Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nBlack 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 Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black\nBlack 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 Red Red Red Red Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Red Red Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Red Red Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Green Green Red Red Blue Blue Blue Blue\nGreen Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Green Green Red Red Blue Blue Blue Blue\nRed Red Red Red Green Green Blue Blue Blue Blue Green Green Green Green Red Red Green Green Red Red Blue Blue Green Green Green Green\nRed Red Red Red Green Green Blue Blue Blue Blue Green Green Green Green Red Red Green Green Red Red Blue Blue Green Green Green Green\nBlue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Red Red Green Green\nBlue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Red Red Green Green\nBlue Blue Red Red Green Green Green Green Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Red Red Green Green Green Green Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Green Green Red Red Green Green\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Blue Blue Green Green Red Red Green Green\nGreen Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue\nGreen Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue\nBlue Blue Green Green Red Red Red Red Green Green Red Red Blue Blue Blue Blue Green Green Green Green Green Green Red Red Green Green\nBlue Blue Green Green Red Red Red Red Green Green Red Red Blue Blue Blue Blue Green Green Green Green Green Green Red Red Green Green\nBlue Blue Blue Blue Blue Blue Green Green Red Red Red Red Blue Blue Green Green Blue Blue Blue Blue Green Green Red Red Green Green\nBlue Blue Blue Blue Blue Blue Green Green Red Red Red Red Blue Blue Green Green Blue Blue Blue Blue Green Green Red Red Green Green\nGreen Green Blue Blue Green Green Red Red Blue Blue Red Red Green Green Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Blue Blue Green Green Red Red Blue Blue Red Red Green Green Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Red Red Red Red Green Green Blue Blue Red Red Red Red Green Green Red Red Blue Blue Blue Blue Red Red Red Red\nGreen Green Red Red Red Red Green Green Blue Blue Red Red Red Red Green Green Red Red Blue Blue Blue Blue Red Red Red Red\nBlue Blue Green Green Blue Blue Green Green Blue Blue Red Red Red Red Red Red Green Green Green Green Green Green Green Green Red Red\nBlue Blue Green Green Blue Blue Green Green Blue Blue Red Red Red Red Red Red Green Green Green Green Green Green Green Green Red Red\n\nOutput:\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green Green Red Red Green Green Red Red Blue Blue Green Green Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green Green Red Red Green Green Red Red Blue Blue Green Green Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Red Red Green Green Red Red Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue Red Red Green Green Red Red Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Green Green\nGreen Green Blue Blue Red Red Green Green Green Green Blue Blue Green Green Green Green Green Green Blue Blue Green Green Green Green Green Green\nGreen Green Blue Blue Red Red Green Green Green Green Blue Blue Green Green Green Green Green Green Blue Blue Green Green Green Green Green Green\nBlue Blue Green Green Green Green Green Green Blue Blue Green Green Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Blue Green Green Green Green Green Green Blue Blue Green Green Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Blue Green Green Green Green Red Red Green Green Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Blue Green Green Green Green Red Red Green Green Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Green Green Red Red Green Green Red Red Green Green Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nBlue Blue Blue Blue Green Green Red Red Green Green Red Red Green Green Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nBlue Blue Green Green Green Green Green Green Red Red Green Green Red Red Green Green Green Green Blue Blue Blue Blue Green Green Green Green\nBlue Blue Green Green Green Green Green Green Red Red Green Green Red Red Green Green Green Green Blue Blue Blue Blue Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Blue Blue Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Blue Blue Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Green Green Green Green Red Red Green Green Red Red Green Green Green Green Red Red Red Red\nGreen Green Green Green Green Green Blue Blue Green Green Green Green Red Red Green Green Red Red Green Green Green Green Red Red Red Red\n\n\nExample 2\nInput:\nGreen Green Red Red Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Red Red Blue Blue Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Green Green Red Red Blue Blue Blue Blue Green Green\nBlue Blue Red Red Blue Blue Red Red Blue Blue Green Green Red Red Blue Blue Blue Blue Green Green\nRed Red Red Red Blue Blue Green Green Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue\nRed Red Red Red Blue Blue Green Green Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue\nGreen Green Blue Blue Green Green Green Green Blue Blue Red Red Red Red Green Green Red Red Green Green\nGreen Green Blue Blue Green Green Green Green Blue Blue Red Red Red Red Green Green Red Red Green Green\nRed Red Blue Blue Blue Blue Blue Blue Green Green Red Red Green Green Green Green Green Green Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Green Green Red Red Green Green Green Green Green Green Blue Blue\nRed Red Red Red Blue Blue Red Red Green Green Red Red Green Green Green Green Blue Blue Green Green\nRed Red Red Red Blue Blue Red Red Green Green Red Red Green Green Green Green Blue Blue Green Green\nGreen Green Red Red Blue Blue Blue Blue Red Red Green Green Green Green Green Green Blue Blue Blue Blue\nGreen Green Red Red Blue Blue Blue Blue Red Red Green Green Green Green Green Green Blue Blue Blue Blue\nBlue Blue Red Red Green Green Green Green Green Green Blue Blue Green Green Red Red Red Red Blue Blue\nBlue Blue Red Red Green Green Green Green Green Green Blue Blue Green Green Red Red Red Red Blue Blue\nGreen Green Red Red Red Red Blue Blue Red Red Red Red Red Red Blue Blue Red Red Blue Blue\nGreen Green Red Red Red Red Blue Blue Red Red Red Red Red Red Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Red Red Red Red Red Red Green Green\nBlue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Red Red Red Red Red Red Green Green\nRed Red Green Green Red Red Red Red Green Green Blue Blue Red Red Green Green Red Red Red Red\nRed Red Green Green Red Red Red Red Green Green Blue Blue Red Red Green Green Red Red Red Red\nBlue Blue Green Green Blue Blue Green Green Green Green Green Green Blue Blue Green Green Red Red Green Green\nBlue Blue Green Green Blue Blue Green Green Green Green Green Green Blue Blue Green Green Red Red Green Green\nBlue Blue Red Red Green Green Blue Blue Red Red Green Green Blue Blue Blue Blue Red Red Green Green\nBlue Blue Red Red Green Green Blue Blue Red Red Green Green Blue Blue Blue Blue Red Red Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue\nRed Red Green Green Green Green Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue\nRed Red Green Green Green Green Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Blue Blue Green Green Green Green Blue Blue Green Green Green Green\nGreen Green Green Green Green Green Green Green Blue Blue Green Green Green Green Blue Blue Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Green Green Green Green Green Green Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Green Green Green Green Green Green Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Green Green Green Green Red Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Blue Blue Green Green Green Green Red Red Red Red Green Green Green Green Green Green\nRed Red Green Green Green Green Blue Blue Red Red Green Green Green Green Green Green Green Green Blue Blue\nRed Red Green Green Green Green Blue Blue Red Red Green Green Green Green Green Green Green Green Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue\nGreen Green Green Green Green Green Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Red Red Green Green Red Red Green Green Green Green Green Green Red Red Green Green Green Green\nGreen Green Red Red Green Green Red Red Green Green Green Green Green Green Red Red Green Green Green Green\nRed Red Green Green Red Red Blue Blue Green Green Green Green Red Red Green Green Red Red Green Green\nRed Red Green Green Red Red Blue Blue Green Green Green Green Red Red Green Green Red Red Green Green\nBlue Blue Red Red Green Green Red Red Green Green Green Green Green Green Red Red Red Red Green Green\nBlue Blue Red Red Green Green Red Red Green Green Green Green Green Green Red Red Red Red Green Green\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Red Red\n\n\nExample 3\nInput:\nRed Red Red Red Green Green Red Red Blue Blue Red Red Green Green Blue Blue Red Red Red Red\nRed Red Red Red Green Green Red Red Blue Blue Red Red Green Green Blue Blue Red Red Red Red\nBlue Blue Green Green Green Green Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red\nBlue Blue Green Green Green Green Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red\nGreen Green Red Red Red Red Green Green Red Red Blue Blue Green Green Blue Blue Red Red Blue Blue\nGreen Green Red Red Red Red Green Green Red Red Blue Blue Green Green Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Green Green Blue Blue Red Red Red Red Blue Blue Green Green\nBlue Blue Red Red Blue Blue Red Red Green Green Blue Blue Red Red Red Red Blue Blue Green Green\nRed Red Blue Blue Green Green Red Red Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue\nRed Red Blue Blue Green Green Red Red Blue Blue Red Red Blue Blue Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Green Green Green Green Red Red Red Red Green Green Red Red Blue Blue\nBlue Blue Red Red Blue Blue Green Green Green Green Red Red Red Red Green Green Red Red Blue Blue\nRed Red Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Red Red\nRed Red Blue Blue Green Green Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Red Red\nGreen Green Blue Blue Green Green Green Green Red Red Red Red Red Red Blue Blue Red Red Blue Blue\nGreen Green Blue Blue Green Green Green Green Red Red Red Red Red Red Blue Blue Red Red Blue Blue\nGreen Green Blue Blue Green Green Red Red Green Green Blue Blue Red Red Green Green Blue Blue Blue Blue\nGreen Green Blue Blue Green Green Red Red Green Green Blue Blue Red Red Green Green Blue Blue Blue Blue\nGreen Green Green Green Green Green Red Red Red Red Green Green Blue Blue Blue Blue Green Green Red Red\nGreen Green Green Green Green Green Red Red Red Red Green Green Blue Blue Blue Blue Green Green Red Red\nGreen Green Red Red Green Green Red Red Red Red Blue Blue Blue Blue Green Green Green Green Blue Blue\nGreen Green Red Red Green Green Red Red Red Red Blue Blue Blue Blue Green Green Green Green Blue Blue\nBlue Blue Green Green Red Red Green Green Red Red Red Red Blue Blue Green Green Red Red Green Green\nBlue Blue Green Green Red Red Green Green Red Red Red Red Blue Blue Green Green Red Red Green Green\nRed Red Green Green Blue Blue Red Red Blue Blue Red Red Red Red Red Red Red Red Blue Blue\nRed Red Green Green Blue Blue Red Red Blue Blue Red Red Red Red Red Red Red Red Blue Blue\nRed Red Green Green Blue Blue Blue Blue Green Green Red Red Green Green Green Green Green Green Blue Blue\nRed Red Green Green Blue Blue Blue Blue Green Green Red Red Green Green Green Green Green Green Blue Blue\n\nOutput:\nGreen Green Green Green Red Red Blue Blue Green Green Green Green Green Green Green Green Green Green Red Red\nGreen Green Green Green Red Red Blue Blue Green Green Green Green Green Green Green Green Green Green Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Red Red Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Red Red Green Green\nGreen Green Red Red Green Green Red Red Blue Blue Green Green Green Green Green Green Blue Blue Red Red\nGreen Green Red Red Green Green Red Red Blue Blue Green Green Green Green Green Green Blue Blue Red Red\nRed Red Blue Blue Red Red Green Green Green Green Green Green Green Green Blue Blue Red Red Blue Blue\nRed Red Blue Blue Red Red Green Green Green Green Green Green Green Green Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Green Green Red Red Blue Blue Red Red Green Green Blue Blue Green Green\nBlue Blue Red Red Blue Blue Green Green Red Red Blue Blue Red Red Green Green Blue Blue Green Green\nRed Red Blue Blue Green Green Green Green Green Green Red Red Green Green Green Green Green Green Green Green\nRed Red Blue Blue Green Green Green Green Green Green Red Red Green Green Green Green Green Green Green Green\nBlue Blue Green Green Blue Blue Green Green Green Green Green Green Green Green Blue Blue Red Red Blue Blue\nBlue Blue Green Green Blue Blue Green Green Green Green Green Green Green Green Blue Blue Red Red Blue Blue\nGreen Green Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green\nGreen Green Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green\nGreen Green Green Green Green Green Green Green Red Red Red Red Green Green Blue Blue Green Green Green Green\nGreen Green Green Green Green Green Green Green Red Red Red Red Green Green Blue Blue Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Blue Blue Green Green Green Green Green Green Blue Blue\nGreen Green Green Green Green Green Red Red Red Red Blue Blue Green Green Green Green Green Green Blue Blue\nGreen Green Green Green Red Red Red Red Red Red Green Green Blue Blue Blue Blue Green Green Green Green\nGreen Green Green Green Red Red Red Red Red Red Green Green Blue Blue Blue Blue Green Green Green Green\nGreen Green Green Green Green Green Red Red Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Red Red Red Red Green Green Red Red Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Red Red Red Red Green Green Red Red Green Green Green Green\nRed Red Green Green Blue Blue Green Green Green Green Green Green Red Red Green Green Green Green Blue Blue\nRed Red Green Green Blue Blue Green Green Green Green Green Green Red Red Green Green Green Green Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Green Green Green Green Blue Blue Green Green Red Red Blue Blue Blue Blue Green Green Blue Blue Green Green Blue Blue\nRed Red Green Green Green Green Blue Blue Green Green Red Red Blue Blue Blue Blue Green Green Blue Blue Green Green Blue Blue\nRed Red Green Green Red Red Red Red Blue Blue Red Red Red Red Blue Blue Red Red Green Green Red Red Blue Blue\nRed Red Green Green Red Red Red Red Blue Blue Red Red Red Red Blue Blue Red Red Green Green Red Red Blue Blue\nBlue Blue Green Green Green Green Blue Blue Red Red Red Red Blue Blue Green Green Red Red Red Red Green Green Green Green\nBlue Blue Green Green Green Green Blue Blue Red Red Red Red Blue Blue Green Green Red Red Red Red Green Green Green Green\nRed Red Blue Blue Red Red Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Red Red Green Green Red Red\nRed Red Blue Blue Red Red Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Red Red Green Green Red Red\nRed Red Green Green Red Red Blue Blue Blue Blue Red Red Green Green Blue Blue Blue Blue Red Red Green Green Green Green\nRed Red Green Green Red Red Blue Blue Blue Blue Red Red Green Green Blue Blue Blue Blue Red Red Green Green Green Green\nGreen Green Red Red Green Green Red Red Red Red Green Green Green Green Green Green Blue Blue Green Green Blue Blue Blue Blue\nGreen Green Red Red Green Green Red Red Red Red Green Green Green Green Green Green Blue Blue Green Green Blue Blue Blue Blue\nBlue Blue Red Red Green Green Blue Blue Blue Blue Green Green Red Red Green Green Blue Blue Green Green Red Red Blue Blue\nBlue Blue Red Red Green Green Blue Blue Blue Blue Green Green Red Red Green Green Blue Blue Green Green Red Red Blue Blue\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Red Red Blue Blue Red Red Green Green\nRed Red Green Green Blue Blue Green Green Red Red Red Red Green Green Blue Blue Red Red Blue Blue Red Red Green Green\nGreen Green Red Red Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue Red Red\nGreen Green Red Red Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Blue Blue Red Red\nRed Red Green Green Red Red Green Green Red Red Red Red Green Green Blue Blue Red Red Green Green Red Red Blue Blue\nRed Red Green Green Red Red Green Green Red Red Red Red Green Green Blue Blue Red Red Green Green Red Red Blue Blue\nGreen Green Red Red Blue Blue Green Green Green Green Green Green Red Red Red Red Green Green Green Green Red Red Green Green\nGreen Green Red Red Blue Blue Green Green Green Green Green Green Red Red Red Red Green Green Green Green Red Red Green Green\nGreen Green Green Green Red Red Green Green Green Green Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red\nGreen Green Green Green Red Red Green Green Green Green Green Green Red Red Red Red Green Green Blue Blue Green Green 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 Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Green Green Blue Blue\nRed Red Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Green Green Blue Blue\nGreen Green Red Red Green Green Blue Blue Red Red Red Red Blue Blue Green Green Green Green Red Red Green Green Green Green\nGreen Green Red Red Green Green Blue Blue Red Red Red Red Blue Blue Green Green Green Green Red Red Green Green Green Green\nRed Red Blue Blue Green Green Green Green Blue Blue Green Green Green Green Blue Blue Red Red Red Red Red Red Green Green\nRed Red Blue Blue Green Green Green Green Blue Blue Green Green Green Green Blue Blue Red Red Red Red Red Red Green Green\nGreen Green Red Red Green Green Blue Blue Green Green Green Green Blue Blue Blue Blue Green Green Red Red Red Red Green Green\nGreen Green Red Red Green Green Blue Blue Green Green Green Green Blue Blue Blue Blue Green Green Red Red Red Red Green Green\nGreen Green Red Red Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Green Green Green Green\nGreen Green Red Red Green Green Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green Green Green Green Green\nGreen Green Green Green Red Red Green Green Green Green Red Red Green Green Blue Blue Blue Blue Green Green Green Green Blue Blue\nGreen Green Green Green Red Red Green Green Green Green Red Red Green Green Blue Blue Blue Blue Green Green Green Green Blue Blue\nRed Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nRed Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Red Red Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Red Red Green Green Green Green\nGreen Green Red Red Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Red Red Green Green Green Green\nRed Red Green Green Red Red Blue Blue Red Red Green Green Blue Blue Blue Blue Red Red Green Green Red Red Blue Blue\nRed Red Green Green Red Red Blue Blue Red Red Green Green Blue Blue Blue Blue Red Red Green Green Red Red Blue Blue\nGreen Green Red Red Blue Blue Red Red Green Green Green Green Green Green Green Green Green Green Red Red Green Green Red Red\nGreen Green Red Red Blue Blue Red Red Green Green Green Green Green Green Green Green Green Green Red Red Green Green Red Red\nRed Red Green Green Red Red Green Green Green Green Red Red Red Red Green Green Red Red Green Green Green Green Green Green\nRed Red Green Green Red Red Green Green Green Green Red Red Red Red Green Green Red Red Green Green Green Green Green Green\nGreen Green Red Red Green Green Green Green Green Green Green Green Red Red Red Red Green Green Green Green Green Green Green Green\nGreen Green Red Red Green Green Green Green Green Green Green Green Red Red Red Red 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 Black Black Black Black Black Blue Black Black Black Brown Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Brown Black Black Black Black Black Black\nBlue Black Black Black Green Black Black Yellow Black Black Brown Red Black Black Black Black Pink\nYellow 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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Blue Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown 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\nPurple Purple Purple Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nYellow 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 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 Black Black Black 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:\nGreen Black Purple Black Black Black Black Orange Black Black Orange Black Black Black Black\nGreen Black Purple Black Black Black Black Black Black Black Orange Black Black Black Gray\nGreen Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nGreen Black Purple Black Black Black Black Black Black Black Orange Black Black Green Black\nGreen Black Purple Black Black Black Black Green Black Black Orange Black Green Black Black\nOrange Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nGreen Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nGreen Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nGreen Black Purple Black Black Black Black Black Black Black Orange Black Purple Black Black\nGreen Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nGreen Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nGreen Black Purple Black Red Black Black Black Black Black Orange Black Black Black Black\n\nOutput:\nBlack Black Purple Black Black Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nOrange Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Orange Black Purple Black Black\nBlack Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Orange Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Orange Black Blue Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Pink\nBlack Black Purple Black Black Black Black Black Black Blue Black Black Black Black Black Pink\nBlack Black Black Green Black Black Black Black Black Blue Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Red Black Blue Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Pink\nBlack Black Black Black Black Gray Black Black Black Blue Black Black Black Black Black Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow 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 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 Red Black Yellow Black Gray Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Gray Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Red Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Gray Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Red Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Gray Black Black Black Black Black\nBrown Brown Brown Brown Blue Brown Brown Brown Orange Brown Brown Brown Brown Brown\nBlack Black Black Black Red Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Red Black Brown 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Green Black Black Green Green Green Green Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Green Green Green Green Gray Gray Green Green Green Green Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Green Green Green Green Gray Gray Green Green Green Green Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Blue Blue Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Purple Purple Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Gray Gray Purple Purple Green Green Green Green Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Gray Gray Purple Purple Green Green Green Green Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Gray Gray Pink Pink Pink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Pink Pink Pink Pink Gray Gray Pink Pink Pink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Blue Blue Orange Orange Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Purple Purple Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Pink Pink Black Black Gray Gray Purple Purple Pink Pink Pink Pink Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Pink Pink Black Black Gray Gray Purple Purple Pink Pink Pink Pink Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Blue Blue Yellow Yellow Yellow Yellow Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Purple Purple Black Black Red Red Black Black Black Black Green Green Green Green Black Black Black Black\nOrange Orange Purple Purple Black Black Red Red Black Black Black Black Green Green Green Green Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Green Green Green Green Black Black Orange Orange\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Green Green Green Green Black Black Orange Orange\nGreen Green Green Green Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Brown Brown\nGreen Green Green Green Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Brown Brown\nGreen Green Green Green Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray\nGreen Green Green Green Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Green Green Green Green Black Black\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Green Green Green Green Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black Green Green Green Green Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray Black Black\n\nOutput:\nOrange Orange Purple Purple Black Black Red Red Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nOrange Orange Purple Purple Black Black Red Red Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Orange Orange\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Orange Orange\nPink Pink Pink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Brown Brown\nPink Pink Pink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray\nPink Pink Pink Pink Yellow Yellow Pink Pink Yellow Yellow Black Black Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Yellow Yellow Pink Pink Yellow Yellow Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray Black Black\n\n\nExample 3\nInput:\nGray Gray Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Purple Purple Black Black Black Black Purple Purple 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 Pink Pink Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Pink Pink Pink Pink 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\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Yellow Yellow Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Red Red Black Black Yellow Yellow Black Black Black Black Brown Brown\nPink Pink Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Brown Brown Black Black Black Black Black Black Yellow Yellow Black Black Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Yellow Yellow Black Black Black Black Brown Brown\nGreen Green Green Green Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Green Green Green Green\nGreen Green Green Green Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Yellow Yellow Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Red Red Black Black Yellow Yellow Black Black Black Black Brown Brown\nPink Pink Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Red Red\nBlue Blue Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Red Red\nBlack Black Brown Brown Black Black Black Black Black Black Yellow Yellow Black Black Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Yellow Yellow Black Black Black Black Brown Brown\nPink Pink Pink Pink Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Red Gray Orange\nYellow Yellow Orange Orange\nYellow Green Green Purple\nYellow Brown Brown Purple\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Red Gray Orange\nBrown Green Yellow Red Yellow Yellow Orange Orange\nBrown Green Orange Gray Yellow Green Green Purple\nPurple Purple Orange Orange Yellow Brown Brown Purple\n\n\nExample 2\nInput:\nOrange Purple Gray Gray Red\nPurple Brown Yellow Orange Brown\nBlue Blue Green Brown Brown\nPink Pink Green Gray Gray\nPink Yellow Green Yellow Yellow\n\nOutput:\nPink Pink Blue Purple Orange Orange Purple Gray Gray Red\nYellow Pink Blue Brown Purple Purple Brown Yellow Orange Brown\nGreen Green Green Yellow Gray Blue Blue Green Brown Brown\nYellow Gray Brown Orange Gray Pink Pink Green Gray Gray\nYellow Gray Brown Brown Red Pink Yellow Green Yellow Yellow\n\n\nExample 3\nInput:\nGray Gray Blue Blue Orange\nBrown Gray Gray Orange Orange\nYellow Red Red Brown Purple\nGray Blue Red Brown Brown\nPink Gray Red Purple Orange\n\nOutput:\nPink Gray Yellow Brown Gray Gray Gray Blue Blue Orange\nGray Blue Red Gray Gray Brown Gray Gray Orange Orange\nRed Red Red Gray Blue Yellow Red Red Brown Purple\nPurple Brown Brown Orange Blue Gray Blue Red Brown Brown\nOrange Brown Purple Orange Orange Pink Gray Red Purple Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Pink\nPink Blue Blue\nRed Yellow 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```\nRed Pink Blue Blue Blue Pink\nYellow Blue Blue Pink Blue Blue\nPurple Blue Pink Red Yellow Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n\n\nExample 2\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 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 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 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray 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 Green\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input 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 Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue 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\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Green Green Blue Black\nBlack Black Black Black Black Black Green Green Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Green Green Blue Blue Black Black Black Black\nBlack Black Green Green Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Black Green Green Black Black Black Black\nBlack Black Blue Black Green Green Black Black Black Black\nBlack Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red\nGreen Green Black Black Black Red Red Black\nGreen Green Black Black Black Red Red 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\nRed Black Black Black Black Black Black Black\nRed Red Black Black Black Green Black Black\nBlack Black Black Black Black Green Green Black\nRed Black Black Black Black Green Green Green\nRed Red Black Black Black Green Green Green\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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black\nBlack Black Red Red Black Black Green Green Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Green Black Black Black Red Red Black\nBlack Black Green Green 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:\nRed Red Black Black Black Black Black Black Black\nRed Red Black Black Red Red Black Red Red\nGreen Green Black Black Red Red Black Red Red\nGreen Green Red Red Black Green Green Green Green\nBlack Black Red Red Black Green Green Green Green\nBlack Green Green Black Black Black Black Black Black\nBlack Green Green Red Red Black Black Black Black\nGreen Green Black Red Red Black Black Black Black\nGreen Green Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Black\nGreen Green Black Black Green Black Black Green Black\nRed Black Black Black Green Green Black Green Green\nRed Red Green Black Black Red Black Black Black\nBlack Black Green Green Black Red Red Red Red\nRed Black Black Black Black Black Black Black Black\nRed Red Black Green Black Black Black Black Black\nRed Red Red Green Green Black Black Black Black\nRed Red Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Black Black Green Green Red Red Black\nRed Red Black Black Green Green Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Green Green\nBlack Black Green Green Red Red Black Green Green\nBlack Black Green Green 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```\nGreen Black Black Black Red Black Green Black Black\nGreen Green Black Black Red Red Green Green Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Red Black Green Red Red Red Red\nBlack Black Red Red Green Green Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Gray Gray Purple Black Black Black Black Black\nBlack Black Black Black Black Blue Orange Pink Black Black Black Black Black\nYellow Brown Red Black Black Gray Green Brown Black Black Black Black Black\nOrange Green Purple Black Black Black Black Black Black Black Black Black Black\nYellow Pink Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Gray Yellow Black Black Black Black Black\nBlack Black Black Black Black Purple Red Brown Black Black Black Black Black\nBlack Black Black Black Black Pink Brown Orange Black Yellow Red Brown Black\nBlack Black Black Black Black Black Black Black Black Purple Orange Pink Black\nBlack Black Black Black Black Black Black Black Black Gray Yellow 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 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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack 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\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\nGray Red Brown Black Black Black Black Black Black Black Black Black\nBrown Pink Red Black Black Black Black Black Black Black Black Black\nRed Blue Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Yellow Gray Black Black Black Black Black Purple Brown Gray\nBlack Gray Green Yellow Black Black Black Black Black Brown Orange Brown\nBlack Orange Gray Orange Black Black Black Black Black Pink Pink Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Red Red Blue Blue Blue Blue Blue\nBlack Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Gray Gray Black Black Black Black Black Black Black Black Black\nGreen Orange Brown Black Black Black Black Black Black Black Black Black\nPink Green Green Black Black Black Black Blue Green Red Black Black\nBlack Black Black Black Black Black Black Gray Yellow Pink Black Black\nBlack Gray Orange Pink Black Black Black Blue Red Purple Black Black\nBlack Gray Yellow Blue Black Black Black Black Black Black Black Black\nBlack Pink Orange Brown Black Orange Pink Red Black Black Black Black\nBlack Black Black Black Black Brown Yellow Red Black Black Black Black\nBlack Black Black Black Black Green Orange Red 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue 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 Red Yellow Brown Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Orange Gray Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Yellow Green Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Red Blue Black Black Black Black Black Black Black Black Black\nBlack Black Gray Yellow Green 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Pink Pink\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 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 Orange Orange Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Pink Pink\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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black 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 Red Red Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow 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 Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green 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 Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Brown 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\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Brown Black Brown Black Black Black Black Black Black Purple Black\nBlack Black Black Orange Black Black Brown Orange Brown Black Black Black Black Purple Purple Purple Black\nBlack Black Black Orange Orange Black Orange Orange Black Black Black Black Black Purple Black Black Black\nBlack Black Black Orange Orange Black Orange Orange Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Orange Orange Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Gray Black Black Black Gray Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Gray Black Gray Black Gray Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Brown Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Brown Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Orange Black Black Brown Orange Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange 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 Gray Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Gray Black Gray Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Gray Gray Gray Gray Gray 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Orange Black Orange Black Black Black Black Black\nBlack Black Black Purple Purple Purple Orange Black Orange Black Black Black Black Black\nBlack Black Black Purple Purple Purple Orange Orange Orange Black Black Black Black Black\nBlack Black Black Purple Black Purple Orange Orange Orange Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Gray Black Black Black Black Black Red Red Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink 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 Purple Purple Purple Orange Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Purple Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray 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 Gray Gray Gray 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack 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\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue\nBlack Yellow Black Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Black\nBlack 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown 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 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\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 Red Red Red Black Black\nBlack Black Black Black Black Black Black Pink Black Black Red Red Red Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Red Red Red Black Black\nOrange Orange Orange Orange Black Black Pink Black Black Black Red Red Red Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink\nBlack Black Pink Pink Pink Black Pink Pink\nBlack Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple\nBlack Black Purple Purple Purple Black Purple Purple\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple 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 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\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black\nPurple 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\nOrange Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black\nOrange 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 Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange\nBlack Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black 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 Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nOrange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nOrange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nOrange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nOrange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nOrange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nOrange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nOrange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nOrange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nOrange Orange Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nOrange Orange Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Black Black\nOrange Orange Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Yellow Yellow Yellow Yellow 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 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\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Green Blue Gray\nBlack Green Blue Gray Black\nGreen Blue Gray Black Black\nBlue Gray Black Black Black\nGray Black Black Black Black\n\nOutput:\nBlack Black Yellow Orange Brown\nBlack Yellow Orange Brown Black\nYellow Orange Brown Black Black\nOrange Brown Black Black Black\nBrown Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Purple Red Gray\nBlack Purple Red Gray Black\nPurple Red Gray Black Black\nRed Gray Black Black Black\nGray Black Black Black Black\n\nOutput:\nBlack Black Gray Blue Brown\nBlack Gray Blue Brown Black\nGray Blue Brown Black Black\nBlue Brown Black Black Black\nBrown Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Brown Red Pink\nBlack Brown Red Pink Black\nBrown Red Pink Black Black\nRed Pink Black Black Black\nPink Black Black Black Black\n\nOutput:\nBlack Black Green Blue Purple\nBlack Green Blue Purple Black\nGreen Blue Purple Black Black\nBlue Purple Black Black Black\nPurple Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Green Yellow\nBlack Blue Green Yellow Black\nBlue Green Yellow Black Black\nGreen Yellow Black Black Black\nYellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Yellow Red\nBlack Orange Yellow Red Black\nOrange Yellow Red Black Black\nYellow Red Black Black Black\nRed Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue 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\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange 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 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Brown Black Brown Brown Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Brown Brown Black Brown Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Brown Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown 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\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange 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 Black Black\nOrange Orange 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Purple Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Red Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Red Red Red 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 Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Pink Black Pink Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Blue Black Green Black Black\nBlack Black Black Black Black Blue Black Green Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\nYellow Orange Orange Black Black Black Black Black Black Black\nBlack Blue Black Black Black Blue Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Blue 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 Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Gray Black Black\nBlack Black Black Black Black Yellow Black Gray Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\nBlue Purple Purple Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Pink Pink Pink Black Black Blue Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Blue Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Gray Gray Gray Black Black Yellow Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Yellow Black Black Black\nBlack Blue Blue Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\n\n\nExample 3\nInput:\nBlue Green Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Orange 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 Pink Black Black Black Black Blue Blue\nRed Red Black Pink Black Black Black Black Blue Blue\nGray Gray Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Gray 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 Blue Purple Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Yellow Yellow\nGray Gray Black Gray Black Black Black Black Yellow Yellow\nPink Pink Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue 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 Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Brown Brown Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Brown Brown Black Black\nBlack 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 Blue Blue Black Black Black Brown Brown Black\nBlack Black Yellow Yellow Black Black Black Black Black Blue Blue Black Black Black Brown Brown 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 Blue Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Blue Blue Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Purple Purple\nBlack Black Green Green Black Green Green Black Purple Purple Black Black Black Purple Purple\nBlack Black Green Green Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Orange Orange Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Orange Orange Black Black Black Green Green Black Black Black Orange Orange\nBlack Black Black Orange Orange Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Purple Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Green Green Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Orange Orange Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Orange Orange\nBlack Black Black Orange Orange Black Black Black Green Green 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 Pink Pink Black Black Black Black Black Black Gray Gray Black\nPink Pink Black Black Black Pink Pink Black Black Black Black Black Black Gray Gray Black\nPink Pink Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Green Green Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Green Green Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Gray Black Black\nPink Black Black Black Black Black Pink Black Black Black Black Black Black Black Gray Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Green Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Red Red Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack 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\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black 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 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 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 Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nBlack Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nBlack Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nPink Pink Pink Black Black Black Pink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Pink Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Black Black Black\nBlack Black Black Pink Pink Pink Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Black Black Black\nBlack Black Black Pink Pink Pink Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Black Black Black\nPink Pink Pink Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow\nPink Pink Pink Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow\nPink Pink Pink Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Pink Pink Pink Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Pink Pink Pink Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Pink Pink Pink Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Purple Purple Purple\nOrange Orange Orange Yellow Yellow Yellow Red Red Red Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Red Red Red Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Yellow Yellow Yellow Red Red Red Orange Orange Orange Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange\nBlack Black Black Orange Orange Orange Gray Gray Gray Red Red Red Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Red Red Red Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Red Red Red Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Orange Orange Orange Black Black Black\nOrange Orange Orange Purple Purple Purple Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Black Black Black Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Black Black Black Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Black Black Black Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Red Red Red Pink Pink Pink Red Red Red Blue Blue Blue Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nBlack Black Black Pink Pink Pink Red Red Red Pink Pink Pink Red Red Red Blue Blue Blue Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nBlack Black Black Pink Pink Pink Red Red Red Pink Pink Pink Red Red Red Blue Blue Blue Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red\nPink Pink Pink Black Black Black Pink Pink Pink Red Red Red Brown Brown Brown Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nPink Pink Pink Black Black Black Pink Pink Pink Red Red Red Brown Brown Brown Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nPink Pink Pink Black Black Black Pink Pink Pink Red Red Red Brown Brown Brown Black Black Black Orange Orange Orange Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\n\n\nExample 2\nInput:\nOrange Orange Orange Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Orange Orange Orange\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Orange Orange Orange\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Orange Orange Orange\n\nOutput:\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Pink Pink Pink Blue Blue Blue Purple Purple Purple Blue Blue Blue\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Red Red Red Blue Blue Blue\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Red Red Red Blue Blue Blue\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Red Red Red Blue Blue Blue\nGreen Green Green Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red\nGreen Green Green Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red\nGreen Green Green Pink Pink Pink Green Green Green Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red\nGreen Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Red Red Red Black Black Black\nGreen Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Red Red Red Black Black Black\nGreen Green Green Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Red Red Red Black Black Black\nGreen Green Green Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Purple Purple Purple\nGreen Green Green Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Purple Purple Purple\nGreen Green Green Blue Blue Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Purple Purple Purple\nGreen Green Green Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black\nGreen Green Green Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black\nGreen Green Green Purple Purple Purple Blue Blue Blue Purple Purple Purple Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black\nBlue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Pink Pink Pink Orange Orange Orange Pink Pink Pink\nBlue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Pink Pink Pink Orange Orange Orange Pink Pink Pink\nBlue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Pink Pink Pink Orange Orange Orange Pink Pink Pink\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Orange Orange Orange\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Orange Orange Orange\nBlack Black Black Blue Blue Blue Green Green Green Yellow Yellow Yellow Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Pink Pink Pink Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown 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 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 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 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 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 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 Orange Orange Orange 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black 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\nBlack Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Brown Brown Brown Blue Blue Blue Brown Brown Brown Gray Gray Gray Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Brown Brown Brown Blue Blue Blue Brown Brown Brown Gray Gray Gray Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Brown Brown Brown Blue Blue Blue Brown Brown Brown Gray Gray Gray Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Orange Orange Orange Black Black Black\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Orange Orange Orange Black Black Black\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Brown Brown Brown Gray Gray Gray Brown Brown Brown Gray Gray Gray Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Orange Orange Orange Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black\nYellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Green Green Green Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nGreen Green Green Yellow Yellow Yellow Green Green Green Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nGreen Green Green Yellow Yellow Yellow Green Green Green Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Green Green Green Yellow Yellow Yellow Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Yellow Yellow Yellow Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Yellow Yellow Yellow Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Green Green Green Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Pink Pink Pink Gray Gray Gray\nGreen Green Green Yellow Yellow Yellow Green Green Green Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Pink Pink Pink Gray Gray Gray\nGreen Green Green Yellow Yellow Yellow Green Green Green Black Black Black Pink Pink Pink Gray Gray Gray Pink Pink Pink Brown Brown Brown Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Green Green Green Yellow Yellow Yellow Black Black Black Gray Gray Gray Pink Pink Pink Brown Brown Brown Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Yellow Yellow Yellow Black Black Black Gray Gray Gray Pink Pink Pink Brown Brown Brown Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Yellow Yellow Yellow Black Black Black Gray Gray Gray Pink Pink Pink Brown Brown Brown Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Blue Blue Blue\nGray Gray Gray 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\nGray Gray Gray 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\nGray Gray Gray 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\nGreen Green Green Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green 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 Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Blue Blue Blue\nOrange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Green Green Green Gray Gray Gray Green Green Green Blue Blue Blue Green Green Green\nOrange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Green Green Green Gray Gray Gray Green Green Green Blue Blue Blue Green Green Green\nOrange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Green Green Green Gray Gray Gray Green Green Green Blue Blue Blue Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Brown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Brown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Brown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Black Black Black Blue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Black Black Black Blue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Blue Blue Blue\nYellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Black Black Black Blue Blue Blue Brown Brown Brown Green Green Green Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Blue Blue Blue Red Red Red Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Blue Blue Blue Red Red Red Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Red Red Red Blue Blue Blue Red Red Red Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black\nOrange Orange Orange Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Purple Purple Purple Blue Blue Blue Purple Purple Purple\nOrange Orange Orange Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Purple Purple Purple Blue Blue Blue Purple Purple Purple\nOrange Orange Orange Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Red Red Red Pink Pink Pink Purple Purple Purple Blue Blue Blue Purple Purple Purple\nBlack Black Black Gray Gray Gray Red Red Red Pink Pink Pink Gray Gray Gray Black Black Black Red Red Red Pink Pink Pink Red Red Red Blue Blue Blue\nBlack Black Black Gray Gray Gray Red Red Red Pink Pink Pink Gray Gray Gray Black Black Black Red Red Red Pink Pink Pink Red Red Red Blue Blue Blue\nBlack Black Black Gray Gray Gray Red Red Red Pink Pink Pink Gray Gray Gray Black Black Black Red Red Red Pink Pink Pink Red Red Red Blue Blue Blue\nGray Gray Gray Green Green Green Pink Pink Pink Red Red Red Pink Pink Pink Black Black Black Green Green Green Red Red Red Green Green Green Purple Purple Purple\nGray Gray Gray Green Green Green Pink Pink Pink Red Red Red Pink Pink Pink Black Black Black Green Green Green Red Red Red Green Green Green Purple Purple Purple\nGray Gray Gray Green Green Green Pink Pink Pink Red Red Red Pink Pink Pink Black Black Black Green Green Green Red Red Red Green Green Green Purple Purple Purple\nGreen Green Green Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black\nGreen Green Green Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Red Red Red Green Green Green Red Red Red Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Green Green Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Green Green Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Black Black Black Black\nBlack Black Green Green Blue Blue Yellow Yellow Blue Blue Green Green Black Black\nBlack Black Green Green Blue Blue Yellow Yellow Blue Blue Green Green Black Black\nBlack Black Black Black Green Green Blue Blue Green Green Black Black Black Black\nBlack Black Black Black Green Green Blue Blue Green Green Black Black Black Black\nBlack Black Red Red Black Black Green Green Black Black Green Green Black Black\nBlack Black Red Red Black Black Green Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Red Red Yellow Yellow Red Red Green Green Black Black\nBlack Black Green Green Red Red Yellow Yellow Red Red Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Red Red Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Red Red Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Red Red Black Black Black Black\nBlack Black Blue Blue Green Green Yellow Yellow Green Green Blue Blue Black Black\nBlack Black Blue Blue Green Green Yellow Yellow Green Green Blue Blue 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\nBlack Black Red Red Black Black Red Red Black Black Blue Blue Black Black\nBlack Black Red Red Black Black Red Red Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Red Red Yellow Yellow Red Red Green Green Black Black\nBlack Black Green Green Red Red Yellow Yellow Red Red Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Red Red Black Black Red Red Black Black\nBlack Black Blue Blue Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Black Black Black Black\nBlack Black Green Green Red Red Yellow Yellow Green Green Blue Blue Black Black\nBlack Black Green Green Red Red Yellow Yellow Green Green Blue Blue Black Black\nBlack Black Black Black Blue Blue Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Red Red Blue Blue Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Blue Blue Black Black\nBlack Black Red Red Black Black Red Red Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Red Red Yellow Yellow Red Red Green Green Black Black\nBlack Black Green Green Red Red Yellow Yellow Red Red Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Red Red Black Black Green Green Black Black\nBlack Black Blue Blue Black Black Red Red Black Black Green Green 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 Blue Blue Blue Blue Yellow Yellow Red Red Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Yellow Yellow Red Red Blue Blue Black Black\nBlack Black Black Black Green Green Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Green Green Blue Blue Blue Blue Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Red Red Black Black\nBlack Black Red Red Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black 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 Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Red Red Yellow Yellow Red Red Green Green Black Black\nBlack Black Green Green Red Red Yellow Yellow Red Red Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue Green Green Black Black\nBlack Black Green Green Blue Blue Red Red Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Orange Black Black\nBlack Black Red Black Black Black Black Black Blue Black Black Black\nBlack Red Black Orange Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Yellow Black Black\nBlack Black Green Black Black Black Black Black Yellow Black Black Black\nBlack Green Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Orange Black Black Black\nBlack Black Black Black Black Black Red Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Red\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Green Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Green\nBlack Yellow Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Orange Black Black Black\nBlack Red Black Black Black Black Black Black Red Black Black\nBlack Black Black Red Black Black Black Black Red 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 Orange Black Black Black Black Black Blue Black\nBlack Black Black Blue Black Black Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Black Black Black\nBlack Green Black Black Black Black Black Black Green Black Black\nBlack Black Black Green Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Yellow Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Black Orange Black Red Red Black\nBlack Black Black Black Black Black Black Black Orange\nBlack Black Black Red Black Black Black Black Blue\nBlue Red Black Black Orange Black Black Black Black\nBlack Red Black Blue Black Orange Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Black Yellow Black Green Green Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Green Black Black Black Black Yellow\nYellow Green Black Black Yellow Black Black Black Black\nBlack Green Black Yellow Black Yellow Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Black Black Black Red Red Green Green Black Black Black Black Green Green\nYellow Yellow Black Black Black Black Red Red Green Green Black Black Black Black Green Green\nGreen Green Blue Blue Black Black Green Green Red Red Yellow Yellow Green Green Black Black\nGreen Green Blue Blue Black Black Green Green Red Red Yellow Yellow Green Green Black Black\nBlack 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 Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nGreen Green Yellow Yellow Yellow Yellow Red Red Black Black Green Green Black Black Red Red\nGreen Green Yellow Yellow Yellow Yellow Red Red Black Black Green Green Black Black Red Red\nBlack Black Red Red Black Black Black Black Green Green Blue Blue Black Black Black Black\nBlack Black Red Red Black Black Black Black Green Green Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Green Green Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Green Green Black Black\nRed Red Black Black Black Black Green Green Black Black Green Green Red Red Green Green\nRed Red Black Black Black Black Green Green Black Black Green Green Red Red Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Blue 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\nBlue Blue Blue Blue 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\n\n\nExample 2\nInput:\nRed Red Blue Blue Black Black Green Green Green Green Red Red Black Black\nRed Red Blue Blue Black Black Green Green Green Green Red Red Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green Blue Blue\nBlack Black Black Black Green Green Black Black Black Black Green Green Blue Blue\nBlue Blue Yellow Yellow Black Black Yellow Yellow Green Green Black Black Black Black\nBlue Blue Yellow Yellow Black Black Yellow Yellow Green Green Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Green Green Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Green Green Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\n\nOutput:\nGreen Green Red Red Red Red Red Red Black Black Black Black Black Black\nGreen Green Red Red Red Red Red Red Black Black Black Black Black Black\nGreen Green Red Red Red Red Red Red Black Black Black Black Black Black\nGreen Green Red Red Red Red Red Red Black Black Black Black Black Black\nGreen Green Red Red Red Red Red Red Black Black Black Black Black Black\nGreen Green Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green 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\n\n\nExample 3\nInput:\nBlack Black Red Red Green Green Black Black Yellow Yellow Black Black Black Black\nBlack Black Red Red Green Green Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Green Green Yellow Yellow Black Black\nBlack Black Red Red Black Black Black Black Red Red Green Green Black Black\nBlack Black Red Red Black Black Black Black Red Red Green Green Black Black\nBlack Black Green Green Yellow Yellow Green Green Black Black Yellow Yellow Black Black\nBlack Black Green Green Yellow Yellow Green Green Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Yellow Yellow Red Red Red Red Black Black\nRed Red Red Red Black Black Yellow Yellow Red Red Red Red Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlue Blue Black Black Black Black Yellow Yellow Red Red Black Black Red Red\nBlue Blue Black Black Black Black Yellow Yellow Red Red Black Black Red Red\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\nOutput:\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\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\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\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Green Green Green Green Green Green Black Black Black Black Black Black\nRed Red Green Green Green Green Green Green Black Black Black Black Black Black\nRed Red Green Green Green Green Green Green Black Black Black Black Black Black\nRed Red Green Green Green Green Green Green Black Black Black Black Black Black\nRed Red Green Green Green Green Green Green Black Black Black Black Black Black\nRed Red Green Green Green Green Green Green Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nGreen Green Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Blue Blue Green Green Green Green Red Red Black Black Black Black Green Green Black Black\nBlack Black Blue Blue Green Green Green Green Red Red Black Black Black Black Green Green Black Black\nBlack Black Red Red Red Red Black Black Black Black Yellow Yellow Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Yellow Yellow Red Red Black Black Black Black\nBlue Blue Green Green Yellow Yellow Black Black Red Red Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Green Green Yellow Yellow Black Black Red Red Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Green Green Green Green Black Black Blue Blue Black Black Yellow Yellow Black Black\nBlack Black Black Black Green Green Green Green Black Black Blue Blue Black Black Yellow Yellow Black Black\nYellow Yellow Blue Blue Black Black Black Black Green Green Black Black Yellow Yellow Black Black Red Red\nYellow Yellow Blue Blue Black Black Black Black Green Green Black Black Yellow Yellow Black Black Red Red\nRed Red Black Black Green Green Black Black Red Red Black Black Black Black Blue Blue Black Black\nRed Red Black Black Green Green Black Black Red Red Black Black Black Black Blue Blue Black Black\nRed Red Blue Blue Black Black Blue Blue Yellow Yellow Black Black Blue Blue Black Black Red Red\nRed Red Blue Blue Black Black Blue Blue Yellow Yellow Black Black Blue Blue Black Black Red Red\nBlack Black Red Red Red Red Black Black Red Red Black Black Green Green Red Red Black Black\nBlack Black Red Red Red Red Black Black Red Red Black Black Green Green Red Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack 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\nBlack 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\nBlack 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\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink 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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 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 Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black\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\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\nBrown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Pink Pink Black\nBlack Black Black Black Black Pink Pink Black Black Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray 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 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 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 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 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 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Yellow Yellow Black Black Black Black Red Red Black Black Red Red Blue Blue Purple Purple\nBlack Black Brown Brown Yellow Yellow Black Black Black Black Red Red Black Black Red Red Blue Blue Purple Purple\nBlack Black Green Green Gray Gray Brown Brown Black Black Brown Brown Pink Pink Blue Blue Orange Orange Black Black\nBlack Black Green Green Gray Gray Brown Brown Black Black Brown Brown Pink Pink Blue Blue Orange Orange Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Red Red Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Red Red Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black\nBlack Black Orange Orange Black Black Brown Brown Purple Purple Black Black Red Red Black Black Yellow Yellow Brown Brown\nBlack Black Orange Orange Black Black Brown Brown Purple Purple Black Black Red Red Black Black Yellow Yellow Brown Brown\n\nOutput:\nBlack Black Orange Orange Black Black Brown Brown Purple Purple Black Black Red Red Black Black Yellow Yellow Brown Brown\nBlack Black Orange Orange Black Black Brown Brown Purple Purple Black Black Red Red Black Black Yellow Yellow Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Red Red Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Red Red Black Black\nBlack Black Green Green Gray Gray Brown Brown Black Black Brown Brown Pink Pink Blue Blue Orange Orange Black Black\nBlack Black Green Green Gray Gray Brown Brown Black Black Brown Brown Pink Pink Blue Blue Orange Orange Black Black\nBlack Black Brown Brown Yellow Yellow Black Black Black Black Red Red Black Black Red Red Blue Blue Purple Purple\nBlack Black Brown Brown Yellow Yellow Black Black Black Black Red Red Black Black Red Red Blue Blue Purple Purple\nBlack Black Brown Brown Yellow Yellow Black Black Black Black Red Red Black Black Red Red Blue Blue Purple Purple\nBlack Black Brown Brown Yellow Yellow Black Black Black Black Red Red Black Black Red Red Blue Blue Purple Purple\nBlack Black Green Green Gray Gray Brown Brown Black Black Brown Brown Pink Pink Blue Blue Orange Orange Black Black\nBlack Black Green Green Gray Gray Brown Brown Black Black Brown Brown Pink Pink Blue Blue Orange Orange Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Red Red Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Red Red Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black\nBlack Black Orange Orange Black Black Brown Brown Purple Purple Black Black Red Red Black Black Yellow Yellow Brown Brown\nBlack Black Orange Orange Black Black Brown Brown Purple Purple Black Black Red Red Black Black Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Brown Brown Blue Blue Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Orange Orange Brown Brown Blue Blue Black Black Black Black Black Black Red Red Black Black\nBlack Black Red Red Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nRed Red Gray Gray Black Black Purple Purple Pink Pink Black Black Black Black Yellow Yellow Black Black Pink Pink\nRed Red Gray Gray Black Black Purple Purple Pink Pink Black Black Black Black Yellow Yellow Black Black Pink Pink\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Green Green Brown Brown Black Black Orange Orange Black Black Black Black Green Green\nBlack Black Black Black Yellow Yellow Green Green Brown Brown Black Black Orange Orange Black Black Black Black Green Green\n\nOutput:\nBlack Black Black Black Yellow Yellow Green Green Brown Brown Black Black Orange Orange Black Black Black Black Green Green\nBlack Black Black Black Yellow Yellow Green Green Brown Brown Black Black Orange Orange Black Black Black Black Green Green\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Black Black\nRed Red Gray Gray Black Black Purple Purple Pink Pink Black Black Black Black Yellow Yellow Black Black Pink Pink\nRed Red Gray Gray Black Black Purple Purple Pink Pink Black Black Black Black Yellow Yellow Black Black Pink Pink\nBlack Black Red Red Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Brown Brown Blue Blue Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Orange Orange Brown Brown Blue Blue Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Orange Orange Brown Brown Blue Blue Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Orange Orange Brown Brown Blue Blue Black Black Black Black Black Black Red Red Black Black\nBlack Black Red Red Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nRed Red Gray Gray Black Black Purple Purple Pink Pink Black Black Black Black Yellow Yellow Black Black Pink Pink\nRed Red Gray Gray Black Black Purple Purple Pink Pink Black Black Black Black Yellow Yellow Black Black Pink Pink\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Green Green Brown Brown Black Black Orange Orange Black Black Black Black Green Green\nBlack Black Black Black Yellow Yellow Green Green Brown Brown Black Black Orange Orange Black Black Black Black Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Red Red Blue Blue Gray Gray Yellow Yellow Black Black Black Black Brown Brown\nOrange Orange Black Black Black Black Red Red Blue Blue Gray Gray Yellow Yellow Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Red Red Black Black Green Green Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Green Green Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Pink Pink Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Pink Pink Red Red Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Green Green Red Red Black Black Brown Brown Purple Purple\nBlack Black Pink Pink Black Black Black Black Black Black Green Green Red Red Black Black Brown Brown Purple Purple\nRed Red Black Black Black Black Gray Gray Black Black Black Black Pink Pink Gray Gray Black Black Black Black\nRed Red Black Black Black Black Gray Gray Black Black Black Black Pink Pink Gray Gray Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Gray Gray Black Black Black Black Pink Pink Gray Gray Black Black Black Black\nRed Red Black Black Black Black Gray Gray Black Black Black Black Pink Pink Gray Gray Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Green Green Red Red Black Black Brown Brown Purple Purple\nBlack Black Pink Pink Black Black Black Black Black Black Green Green Red Red Black Black Brown Brown Purple Purple\nBlack Black Black Black Black Black Blue Blue Black Black Pink Pink Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Pink Pink Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Green Green Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Green Green Black Black Brown Brown Black Black Black Black\nOrange Orange Black Black Black Black Red Red Blue Blue Gray Gray Yellow Yellow Black Black Black Black Brown Brown\nOrange Orange Black Black Black Black Red Red Blue Blue Gray Gray Yellow Yellow Black Black Black Black Brown Brown\nOrange Orange Black Black Black Black Red Red Blue Blue Gray Gray Yellow Yellow Black Black Black Black Brown Brown\nOrange Orange Black Black Black Black Red Red Blue Blue Gray Gray Yellow Yellow Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Red Red Black Black Green Green Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Green Green Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Pink Pink Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Pink Pink Red Red Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Green Green Red Red Black Black Brown Brown Purple Purple\nBlack Black Pink Pink Black Black Black Black Black Black Green Green Red Red Black Black Brown Brown Purple Purple\nRed Red Black Black Black Black Gray Gray Black Black Black Black Pink Pink Gray Gray Black Black Black Black\nRed Red Black Black Black Black Gray Gray Black Black Black Black Pink Pink Gray Gray Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Blue Blue Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Purple Purple Yellow Yellow Red Red Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Black Black Purple Purple Yellow Yellow Red Red Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Green Green\nBrown Brown Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Green Green\nBrown Brown Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Green Green\nBrown Brown Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Green Green\nRed Red Black Black Green Green Black Black Black Black Black Black Brown Brown Red Red Red Red Black Black\nRed Red Black Black Green Green Black Black Black Black Black Black Brown Brown Red Red Red Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Green Green Black Black Black Black Black Black Brown Brown Red Red Red Red Black Black\nRed Red Black Black Green Green Black Black Black Black Black Black Brown Brown Red Red Red Red Black Black\nBrown Brown Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Green Green\nBrown Brown Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Green Green\nBrown Brown Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Green Green\nBrown Brown Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Green Green\nYellow Yellow Black Black Black Black Black Black Purple Purple Yellow Yellow Red Red Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Black Black Purple Purple Yellow Yellow Red Red Black Black Black Black Brown Brown\nBlack Black Blue Blue Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Blue Blue Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Blue Blue Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Blue Blue Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Purple Purple Yellow Yellow Red Red Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Black Black Purple Purple Yellow Yellow Red Red Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Green Green\nBrown Brown Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Green Green\nBrown Brown Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Green Green\nBrown Brown Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Green Green\nRed Red Black Black Green Green Black Black Black Black Black Black Brown Brown Red Red Red Red Black Black\nRed Red Black Black Green Green Black Black Black Black Black Black Brown Brown Red Red Red Red Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Green Red\nBlack Black Gray Blue Green\nBlack Black Yellow Gray Yellow\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Gray Green\nBlack Black Gray Yellow Yellow\nBlack Black Green Yellow Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Blue Green\nBlack Black Gray Red Gray\nBlack Black Green Yellow Green\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nYellow Gray Yellow Black Black\nGreen Gray Yellow Black Black\nYellow Gray Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Yellow Blue Yellow Black\nBlack Gray Gray Green Black\nBlack Green Yellow Red Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Yellow Gray Green Black\nBlack Green Gray Yellow Black\nBlack Gray Yellow Green Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Yellow Green Yellow Black\nBlack Yellow Yellow Blue Black\nBlack Yellow 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```\nBlack Black Black Black Black\nGreen Green Green Black Black\nGreen Green Yellow Black Black\nGreen Yellow Green Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack 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 Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack 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 Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black 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 Black Black Black Black\nYellow Yellow 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 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 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\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack 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 Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack 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 Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow 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\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black\nPink Black Black Pink Black Pink Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Black Black\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Pink Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Pink Pink Pink Black\nPink Pink Black Pink Pink Black Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Pink\nPink Black Black Pink Pink Pink Black Pink Black Black Black Black Black Pink Pink Black Pink Pink Pink Black\nBlack Pink Pink Black Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Black Pink Black Pink Black Black Black Black Black Black Pink Pink Pink Black Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Pink Black Black Pink Pink Pink Pink Pink Black Pink Pink\nPink Black Pink Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Black\nPink Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black Pink Black Pink Black Pink Pink\nBlack Pink Black Black Pink Pink Pink Pink Pink Black Pink Black Pink Pink Black Black Black Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink\nBlack Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink\nPink Black Black Black Pink Black Black Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black\nBlack Black Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nBlack Pink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black\nPink Black Black Pink Black Pink Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Black Black\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Pink Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Pink Pink Pink Black\nPink Pink Black Pink Pink Black Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Pink\nPink Black Black Pink Pink Pink Black Pink Black Blue Blue Blue Blue Pink Pink Black Pink Pink Pink Black\nBlack Pink Pink Black Pink Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Black Pink Black Pink Blue Blue Blue Blue Black Black Pink Pink Pink Black Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Blue Blue Blue Blue Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Pink Black Black Pink Pink Pink Pink Pink Black Pink Pink\nPink Black Pink Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Black\nPink Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black Pink Black Pink Black Pink Pink\nBlack Pink Black Black Pink Pink Pink Pink Pink Black Pink Black Pink Pink Black Black Black Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink\nBlack Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink\nPink Black Black Black Pink Black Black Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black\nBlack Black Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Red Red Red Red Red Black Red Black Red Black Red Red Red Red Red Black Black Red Black\nRed Black Black Black Red Red Black Red Red Red Red Black Red Red Red Red Black Red Black Black\nRed Red Red Red Black Red Black Red Red Black Black Red Red Black Red Red Black Black Black Black\nBlack Black Red Black Red Black Red Black Black Red Black Black Red Black Red Red Red Red Red Black\nRed Red Red Black Red Red Red Black Red Red Black Black Red Red Red Red Black Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Red Red Red Red Black Red\nRed Black Black Red Red Red Red Red Black Black Red Red Black Red Black Red Black Red Red Red\nRed Red Red Black Red Red Red Red Red Black Black Red Red Red Red Black Red Red Red Red\nRed Red Black Black Black Red Black Red Red Red Black Red Red Black Red Red Black Red Black Black\nRed Red Red Red Red Black Black Red Red Red Red Black Red Black Red Red Red Black Red Red\nRed Red Red Red Red Black Red Black Red Red Black Black Red Red Red Red Red Red Red Black\nRed Black Red Black Red Black Red Red Red Black Red Red Red Red Black Red Red Black Red Red\nBlack Red Red Black Red Red Black Red Red Red Black Black Red Red Red Red Red Black Red Red\nBlack Red Red Red Red Black Red Black Red Black Red Red Black Red Black Red Red Red Black Red\nRed Red Red Red Red Black Red Black Red Black Red Red Red Black Black Red Red Black Red Black\nRed Black Black Black Red Black Red Red Red Red Red Black Red Black Red Red Black Black Red Red\nRed Red Red Red Red Black Red Red Red Black Red Red Red Red Red Black Black Black Black Red\nRed Red Red Red Black Black Red Red Black Red Red Red Red Black Red Black Black Black Black Red\nBlack Red Red Red Red Black Black Black Red Red Red Red Red Red Red Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Red Black Black Black Black Black Black\n\nOutput:\nBlack Red Red Red Red Red Black Red Black Red Black Red Red Red Red Red Black Black Red Black\nRed Black Black Black Red Red Black Red Red Red Red Black Red Red Red Red Black Red Black Black\nRed Red Red Red Black Red Black Red Red Black Black Red Red Black Red Red Black Black Black Black\nBlack Black Red Black Red Black Red Black Black Red Black Black Red Black Red Red Red Red Red Black\nRed Red Red Black Red Red Red Black Red Red Black Black Red Red Red Red Black Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Red Red Red Red Black Red\nRed Black Black Red Red Red Red Red Black Black Red Red Black Red Black Red Black Red Red Red\nRed Red Red Black Red Red Red Red Red Black Black Red Red Red Red Black Red Red Red Red\nRed Red Black Black Black Red Black Red Red Red Black Red Red Black Red Red Black Red Black Black\nRed Red Red Red Red Black Black Red Red Red Red Black Red Black Red Red Red Black Red Red\nRed Red Red Red Red Black Red Black Red Red Black Black Red Red Red Red Red Red Red Black\nRed Black Red Black Red Black Red Red Red Black Red Red Red Red Black Red Red Black Red Red\nBlack Red Red Black Red Red Black Red Red Red Black Black Red Red Red Red Red Black Red Red\nBlack Red Red Red Red Black Red Black Red Black Red Red Black Red Black Red Red Red Black Red\nRed Red Red Red Red Black Red Black Red Black Red Red Red Black Black Red Red Black Red Black\nRed Black Black Black Red Black Red Red Red Red Red Black Red Black Red Red Black Black Red Red\nRed Red Red Red Red Black Red Red Red Black Red Red Red Red Red Blue Blue Blue Blue Red\nRed Red Red Red Black Black Red Red Black Red Red Red Red Black Red Blue Blue Blue Blue Red\nBlack Red Red Red Red Black Black Black Red Red Red Red Red Red Red Blue Blue Blue Blue Red\nRed Red Red Red Red Red Red Red Red Red Red Red Black Red Black Blue Blue Blue Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Orange Orange Black Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Black Orange\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Orange Orange Orange Black Black Orange Orange Orange Black\nBlack Black Black Black Black Orange Black Orange Orange Orange Black Black Orange Orange Black Orange Black Orange Orange Black\nBlack Black Black Black Orange Black Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange\nOrange Orange Black Black Orange Orange Black Black Black Orange Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Orange Black Orange Orange Orange Orange Orange Black Black Black Orange Black Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Orange Orange Orange Black Orange Black Black Orange\nBlack Black Black Orange Black Orange Black Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Black\nOrange Black Orange Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Black Black Orange Orange Orange Black Orange Orange\nOrange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Orange\nOrange Black Black Orange Orange Orange Black Orange Black Orange Black Orange Black Black Orange Orange Black Orange Orange Orange\nBlack Orange Black Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Black Orange Orange Black Orange\nOrange Black Orange Orange Black Black Orange Orange Orange Orange Orange Black Black Orange Black Black Orange Orange Black Black\nOrange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Orange\nBlack Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Black Black\nOrange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\n\nOutput:\nBlue Blue Blue Blue Orange Orange Black Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Black Orange\nBlue Blue Blue Blue Orange Orange Black Black Orange Orange Black Orange Orange Orange Black Black Orange Orange Orange Black\nBlue Blue Blue Blue Black Orange Black Orange Orange Orange Black Black Orange Orange Black Orange Black Orange Orange Black\nBlue Blue Blue Blue Orange Black Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange\nOrange Orange Black Black Orange Orange Black Black Black Orange Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Orange Black Orange Orange Orange Orange Orange Black Black Black Orange Black Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Orange Orange Orange Black Orange Black Black Orange\nBlack Black Black Orange Black Orange Black Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Black\nOrange Black Orange Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Black Black Orange Orange Orange Black Orange Orange\nOrange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Orange\nOrange Black Black Orange Orange Orange Black Orange Black Orange Black Orange Black Black Orange Orange Black Orange Orange Orange\nBlack Orange Black Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Black Orange Orange Black Orange\nOrange Black Orange Orange Black Black Orange Orange Orange Orange Orange Black Black Orange Black Black Orange Orange Black Black\nOrange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Orange\nBlack Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Black Black\nOrange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Brown Black Brown Brown Black Black Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown Black\nBrown Black Black Brown Brown Brown Black Brown Black Black Brown Brown Brown Brown Black Brown Black Black Brown Brown\nBlack Brown Brown Brown Brown Brown Black Brown Black Brown Brown Black Brown Black Brown Brown Black Black Brown Brown\nBlack Brown Brown Black Brown Brown Brown Black Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Black\nBrown Black Brown Brown Brown Brown Black Brown Black Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Black Brown Brown Brown Black Brown Black Black Brown Black Brown\nBlack Black Black Black Black Black Brown Black Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown\nBlack Black Black Black Brown Black Black Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Black\nBlack Black Black Black Brown Brown Black Brown Black Brown Black Black Black Black Black Black Black Black Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Brown Brown Black Black Black\nBrown Black Brown Brown Brown Brown Black Brown Black Brown Brown Black Black Black Black Black Black Brown Brown Brown\nBlack Brown Black Brown Black Black Brown Black Brown Black Brown Black Black Black Black Brown Brown Brown Black Black\nBrown Brown Brown Brown Black Black Brown Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Black Brown Black Black Brown Brown Brown Brown Black Brown Brown Brown Brown Black Brown\nBrown Black Black Black Brown Brown Black Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Black\nBrown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Black Brown\nBrown Black Brown Brown Black Brown Brown Brown Brown Black Brown Black Brown Black Brown Brown Brown Black Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Black Black Black Black Black Brown Brown\nBrown Brown Brown Brown Brown Black Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Black Black Black Brown Brown 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```\nBrown Black Brown Black Brown Brown Black Black Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown Black\nBrown Black Black Brown Brown Brown Black Brown Black Black Brown Brown Brown Brown Black Brown Black Black Brown Brown\nBlack Brown Brown Brown Brown Brown Black Brown Black Brown Brown Black Brown Black Brown Brown Black Black Brown Brown\nBlack Brown Brown Black Brown Brown Brown Black Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Black\nBrown Black Brown Brown Brown Brown Black Brown Black Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Black Brown Brown Brown Brown Black Brown Brown Brown Black Brown Black Black Brown Black Brown\nBlue Blue Blue Blue Black Black Brown Black Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown\nBlue Blue Blue Blue Brown Black Black Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Black\nBlue Blue Blue Blue Brown Brown Black Brown Black Brown Black Blue Blue Blue Blue Black Black Black Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Brown Brown Black Black Black\nBrown Black Brown Brown Brown Brown Black Brown Black Brown Brown Blue Blue Blue Blue Black Black Brown Brown Brown\nBlack Brown Black Brown Black Black Brown Black Brown Black Brown Blue Blue Blue Blue Brown Brown Brown Black Black\nBrown Brown Brown Brown Black Black Brown Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Black Brown Black Black Brown Brown Brown Brown Black Brown Brown Brown Brown Black Brown\nBrown Black Black Black Brown Brown Black Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Black\nBrown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Black Brown\nBrown Black Brown Brown Black Brown Brown Brown Brown Black Brown Black Brown Black Brown Brown Brown Black Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Black Black Black Black Black Brown Brown\nBrown Brown Brown Brown Brown Black Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Black Black Black Brown Brown 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:\nBlue Purple Brown Purple Green Blue Pink Yellow\nGray Yellow Yellow Purple Purple Blue Brown Gray\nPurple Pink Pink Gray Purple Orange Green Yellow\nYellow Orange Brown Purple Brown Gray Yellow Purple\nGreen Green Green Purple Blue Orange Green Orange\nOrange Red Purple Yellow Orange Purple Gray Pink\nBlue Orange Gray Orange Brown Orange Orange Green\nGreen Brown Orange Pink Gray Purple Brown Pink\n\nOutput:\nBlue Black Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Yellow Gray Pink Gray Purple Red\nPurple Blue Pink Red Green Blue Orange\nPink Purple Purple Blue Yellow Orange Yellow\nYellow Green Green Pink Brown Orange Blue\nOrange Pink Brown Purple Purple Brown Brown\nGray Brown Purple Blue Brown Orange Red\nGray Blue Pink Green Red Blue Yellow\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Blue Black Black Black Blue Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Blue Black Black Black Blue Black\n\n\nExample 3\nInput:\nBlue Purple Pink Brown Brown Yellow Orange Blue Yellow\nYellow Blue Green Yellow Green Blue Green Brown Red\nPurple Orange Purple Blue Blue Gray Green Gray Blue\nPink Brown Yellow Brown Purple Pink Gray Orange Purple\nPink Yellow Red Gray Orange Green Brown Blue Blue\nPurple Green Orange Yellow Purple Blue Pink Gray Orange\nPink Purple Orange Blue Green Red Yellow Yellow Brown\n\nOutput:\nBlue Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Blue Black Black Black\nBlack Black Black Blue Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Red Pink Green Purple Green Orange Purple Gray\nBlue Orange Yellow Red Blue Purple Red Gray Gray\nYellow Blue Pink Blue Yellow Brown Orange Brown Purple\nPurple Red Green Blue Yellow Purple Purple Orange Brown\nGreen Green Pink Red Orange Gray Green Purple Yellow\nOrange Blue Orange Purple Red Brown Pink Red Blue\nGray Pink Orange Orange Blue Yellow Brown Purple Pink\nPink Pink Orange Brown Brown Pink Gray Pink Gray\nPink Blue Brown Gray Brown Pink Green Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Blue Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Orange Orange Orange 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\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 Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray 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 Black Black\nBlack Black Black Black Blue Blue Blue 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Gray Gray Gray Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nPink Pink Pink Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Brown Red Black Black\nBlack Black Black Black Red Black Black\nBlack Black Blue Black Red Black Black\nBlack Black Blue 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 Brown Red Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Pink Pink Pink\nBlack Black Red Black Black Black\nBlack Black Red Black Yellow Yellow\nBlack Black Red Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Red Black Black Black\nBlack Black Black Black Black Black\nBlack Black Blue Blue Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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 Blue Blue Blue Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nYellow Yellow Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nYellow Yellow Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Black Black Brown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown\nBrown Brown Black Black Brown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Green Green Green Green\nGreen Green Black Black Black Black Green Green Black Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Black Black Green Green Black Black\nGreen Green Green Green Black Black Green Green Black Black Green Green Black Black\nGreen Green Black Black Black Black Black Black Green Green Purple Purple Green Green\nGreen Green Black Black Black Black Black Black Green Green Purple Purple Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Green Green\nBlack Black Black Black Green Green Black Black Green Green Black Black Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black\n\nOutput:\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Purple Purple Black Black Purple Purple Purple Purple\nPurple Purple Black Black Black Black Purple Purple Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black\nPurple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\n\n\nExample 3\nInput:\nBlack Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Orange Orange Black Black Gray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Gray Gray Orange Orange Black Black Gray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray\n\nOutput:\nBlack Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Red Red Black Black Red Red Red Red Black Black Red Red Red Red\nBlack Black Black Black Red Red Black Black Red Red Red Red Black Black Red Red Red Red\nRed Red Black Black Red Red Black Black Black Black Red Red Red Red Black Black Red Red\nRed Red Black Black Red Red Black Black Black Black Red Red Red Red Black Black Red Red\nRed Red Red Red Black Black Red Red Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Black Black Red Red Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Black Black Red Red Red Red Red Red\nRed Red Red Red Green Green Red Red Black Black Black Black Black Black Red Red Red Red\nRed Red Red Red Green Green Red Red Black Black Black Black Black Black Red Red Red Red\nBlack Black Red Red Black Black Black Black Red Red Black Black Black Black Black Black Red Red\nBlack Black Red Red Black Black Black Black Red Red Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Red Red Red Red Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Green Green Black Black Green Green Green Green Black Black Green Green Green Green\nBlack Black Black Black Green Green Black Black Green Green Green Green Black Black Green Green Green Green\nGreen Green Black Black Green Green Black Black Black Black Green Green Green Green Black Black Green Green\nGreen Green Black Black Green Green Black Black Black Black Green Green Green Green Black Black Green Green\nGreen Green Green Green Black Black Green Green Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Black Black Green Green Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black Black Black Green Green\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green 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 Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Gray Black\nBlack Black Purple Purple Purple Purple Purple Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Orange Orange Orange Gray Gray Gray Gray Gray\nBlack Black Orange Orange Orange Gray Gray Gray Gray Gray\nBlack Black Orange Black Orange Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Purple Purple Black Black Black\nOrange Orange Orange Orange Orange Purple Purple Purple Black Black\nOrange Orange Orange Orange Orange Black Purple Purple Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Gray Black Pink Pink Pink\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Black Black Black Black\nBlack Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 Gray Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Green Green Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Green Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Green Green Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Blue Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Blue Black Black Black Black Black Green Green Green Green Green 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 Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Green Green 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\nGray Gray Gray Gray Gray Green Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Orange Black Black Brown Black Black Pink\nPurple Black Orange Yellow Black Black Black Green Brown Black\nOrange Black Yellow Black Black Black Black Green Black Black\nPink Black Gray Brown Pink Orange Black Brown Black Black\nBlack Black Black Red Purple Black Pink Brown Brown Blue\nBlack Blue Orange Pink Orange Black Black Black Black Black\nGray Red Red Black Blue Black Black Black Orange Black\nGreen Red Red Blue Gray Gray Purple Black Black Black\nYellow Black Purple Brown Gray Gray Purple Black Black Red\nBlack Red Black Purple Black Black Black Black Purple Black\n\nOutput:\nBlack Black Black Orange Black Black Brown Black Black Pink\nPurple Black Orange Yellow Black Black Black Green Brown Black\nOrange Black Yellow Black Black Black Black Green Black Black\nPink Black Gray Brown Pink Orange Black Brown Black Black\nBlack Black Black Red Purple Black Pink Brown Brown Blue\nBlack Blue Orange Pink Orange Black Black Black Black Black\nGray Pink Pink Black Blue Black Black Black Orange Black\nGreen Pink Pink Blue Pink Pink Purple Black Black Black\nYellow Black Purple Brown Pink Pink Purple Black Black Red\nBlack Red Black Purple Black Black Black Black Purple Black\n\n\nExample 2\nInput:\nBlack Yellow Yellow Black Black Yellow Black Yellow Orange Black\nYellow Yellow Yellow Black Green Black Black Purple Black Black\nPink Green Gray Green Black Pink Blue Blue Black Black\nBlack Black Black Black Black Purple Blue Blue Pink Orange\nBlack Black Black Orange Black Black Black Black Black Pink\nBlack Black Pink Black Black Orange Black Black Orange Black\nOrange Black Green Yellow Red Black Black Black Black Red\nYellow Black Green Black Blue Black Black Black Pink Pink\nBlack Black Black Blue Blue Black Gray Black Brown Black\nBlack Black Red Blue Blue Black Black Black Blue Blue\n\nOutput:\nBlack Blue Blue Black Black Yellow Black Yellow Orange Black\nYellow Blue Blue Black Green Black Black Purple Black Black\nPink Green Gray Green Black Pink Green Green Black Black\nBlack Black Black Black Black Purple Green Green Pink Orange\nBlack Black Black Orange Black Black Black Black Black Pink\nBlack Black Pink Black Black Orange Black Black Orange Black\nOrange Black Green Yellow Red Black Black Black Black Red\nYellow Black Green Black Blue Black Black Black Pink Pink\nBlack Black Black Green Green Black Gray Black Brown Black\nBlack Black Red Green Green Black Black Black Blue Blue\n\n\nExample 3\nInput:\nRed Brown Green Pink Black Gray Black Black Black Black\nYellow Black Black Black Black Black Black Green Green Gray\nBlack Black Brown Green Black Black Black Green Green Black\nBlack Yellow Purple Black Gray Purple Black Orange Pink Gray\nBlack Brown Brown Gray Gray Brown Black Black Yellow Black\nPurple Gray Black Gray Gray Pink Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Green\nPink Black Black Black Black Green Green Brown Black Black\nPurple Yellow Orange Pink Green Black Gray Black Black Black\nBlack Black Black Yellow Blue Black Orange Gray Yellow Black\n\nOutput:\nRed Brown Green Pink Black Gray Black Black Black Black\nYellow Black Black Black Black Black Black Blue Blue Gray\nBlack Black Brown Green Black Black Black Blue Blue Black\nBlack Yellow Purple Black Gray Purple Black Orange Pink Gray\nBlack Brown Brown Pink Pink Brown Black Black Yellow Black\nPurple Gray Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Green\nPink Black Black Black Black Blue Blue Brown Black Black\nPurple Yellow Orange Pink Green Black Gray Black Black Black\nBlack Black Black Yellow Blue Black Orange Gray Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Green Black Black Purple Black Black Yellow Black Purple\nBlack Yellow Black Black Brown Orange Black Black Black Blue\nGray Blue Orange Orange Black Orange Black Black Red Black\nBlack Black Orange Orange Red Black Black Black Blue Black\nGreen Yellow Yellow Black Red Purple Black Black Black Black\nGray Yellow Yellow Pink Black Gray Gray Black Red Black\nBlack Black Black Blue Black Gray Gray Black Green Black\nPink Pink Purple Black Blue Green Black Black Gray Red\nBlack Black Black Black Gray Black Black Pink Black Black\nBlack Black Black Black Black Black Blue Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Green Black Black Purple Black Black Yellow Black Purple\nBlack Yellow Black Black Brown Orange Black Black Black Blue\nGray Blue Orange Orange Black Orange Black Black Red Black\nBlack Black Orange Orange Red Black Black Black Blue Black\nGreen Blue Blue Black Red Purple Black Black Black Black\nGray Blue Blue Pink Black Pink Pink Black Red Black\nBlack Black Black Blue Black Pink Pink Black Green Black\nPink Pink Purple Black Blue Green Black Black Gray Red\nBlack Black Black Black Gray Black Black Pink Black Black\nBlack Black Black Black Black Black Blue Black Black Blue\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black 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 Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black 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\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Red Red Red Red\nBlue Blue Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Blue Blue Blue Blue\nRed Red Red Red Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red\nBlack Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red\nBlack Black Black Red Red Red Red Black\nBlack Black Black Red Red Red Red Black\nBlack Black Black Red Red Red Red Black\nRed Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Green\nBlack Black Brown Brown Black Black\nBlack Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black\nBlack Brown Black Black Brown Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green\nBlack Green Green Black Black\nGreen Green Green Green Black\nGreen Green Green Green Black\nGreen Green Green Green Black\nGreen Green Green Green Black\nGreen Black Black Green Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Black\nBlack Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red\nRed Red Red Red Black Black\nRed Red Red Red Red Black\nBlack Red Red Red Red Black\nBlack Black Red Red Red Black\nBlack Black Black Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Red\nBlack Red Red Red Red Black Black Black Red Black\nBlack Black Red Red Red Red Black Red Red Black\nBlack Black Black Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Black Black\nBlack Red Red Red Red Red Red Black Black Black\nBlack Red Red Black Red Red Red Red Black Black\nBlack Red Black Black Black Red Red Red Red 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 Red\nRed Red Red Red Black Black Black Red Black\nBlack Red Red Red Red Black Red Red Black\nBlack Black Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Black Black Black\nRed Red Black Red Red Red Red Black Black\nRed Black Black Black Red Red Red Red 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 Purple Black Purple Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Blue Black Black Purple Black Black Purple Black Black Black Black\nBlack Black Blue Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Brown Black Black Black Black Blue Black Black Black Black Black\nBrown Brown Black Yellow Blue Yellow Yellow Black Black Black Yellow Black Black\nBlack Black Black Brown Blue Black Blue Black Black Yellow Black Black Yellow\nBlack Black Brown Black Black Purple Brown Black Purple Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Purple Purple Yellow Black\nBlue Black Black Black Black Purple Black Brown Brown Black Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Green Black Black Black Black Black\nBlack Black Pink Black Black Green Black Purple Black Black\nBlack Black Black Black Black Black Black Orange Green Black\nOrange Black Black Black Black Pink Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Purple Black Black Pink Black\nBlack Black Black Black Pink Pink Orange Black Black Black\nPink Pink Orange Black Black Black Black Black Purple Purple\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Green Pink Green Black Black Pink Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Orange Black Orange Purple Black Black Black Black Green\nBlack Black Black Pink Black Black Orange Black Black Black\n\nOutput:\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Pink Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray 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 Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nGray Black Black Black Black Black Black Gray Black Black\nBlack Black Pink Black Black Black Black Black Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Red Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Brown\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Red Red Black Black Red Black Black Gray Black Black\nBlack Black Black Black Black Red Black Black Black Red Black Black\nBlack Gray Black Black Black Brown Black Black Black Black Black Gray\nBlack Black Black Black Gray Black Brown Black Gray Black Brown Black\nRed Black Brown Black Black Black Red Black Black Gray Black Black\nGray Black Black Black Black Black Brown Black Black Gray Black Black\nRed Black Black Brown 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 Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown 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"
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"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
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{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
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{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black 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 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 Brown Brown Brown 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink 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 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 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink 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 Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black\n\nOutput:\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow 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\nYellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 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 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 Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Black Black Black Orange Orange Orange 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 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 Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange 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\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nOrange 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\nOrange 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
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"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple 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\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Pink Pink Pink Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Pink Pink Pink Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Black Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Black Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Orange Orange Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Black Black Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Black Black Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Orange Orange Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black 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 Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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\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\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\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\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\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\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\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\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\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\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\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\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\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black 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 Pink Black 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 Black 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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black 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\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\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\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\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\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\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\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\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\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 Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Black Yellow Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\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 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\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\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\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Green Green Green Green\nGreen Green Green Green Green Black Brown Black Green Green Green\nGreen Green Green Green Green Green Black 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 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\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\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\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 Black Green Green Green Green\nGreen Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Green Green Green Black 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\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 Black Gray Gray Gray\nGray Gray Gray Gray Black Gray Black Gray Gray\nGray Gray Gray Gray Gray Black 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 Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Gray Gray Gray\nGray Gray Gray Gray Black Black Black Gray Gray\nGray Gray Gray Gray Gray Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow 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:\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Black Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Green Green Green Black Black\nBlack Green Green Green Green Green Black\nBlack Black Green Green Green Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nBlack Black Orange Black Black\nBlack Orange Orange Orange Black\nOrange Orange Orange Orange Orange\nBlack Orange Orange Orange Black\nBlack Black Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Black Black Black Black\nBlack Gray Gray Black Black Black Black\nBlack Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Pink Pink\nPink Pink Pink Pink Black\nPink Pink Black Black Black\nPink Pink Black Black Black\nPink Pink Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Black Black\nGreen Green Green Green Green\nGreen Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\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 Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\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 Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\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 Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Blue Green\nGreen Green Green Green Green Green Blue Green Green Green\nGreen Green Green Green Green Blue Blue Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nYellow Green Green Green Green Green Green Green Green Green\nYellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Green Green Green Green Green Green Green Green\nYellow Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green\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 Blue 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue 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 2\nInput:\nBlack Black Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBrown Brown Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Green Black Black\nBlack Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Blue Black Black Black Black\nBlack Black Blue Blue 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Blue Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated 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 Blue Black Black\nBlack Black Black Blue 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 Blue\nBlack Black Black Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Black Black\nBlack Black Black Green Green Blue Green Green\nBlack Black Green Blue Green Green Green Blue\nBlack Black Black Green Black Black Black Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green\nBlack Black Black Green Black Black Green Blue\nBlack Black Green Blue Green Black Black Green\n\n\nExample 2\nInput:\nBlack Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Green Blue Green Green Black Green\nBlack Black Green Green Blue Green Blue\nBlack Black Black Black Green Black Green\nGreen Black Black Green Blue Green Blue\nBlue Green Black Black Green Black Green\nGreen Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Blue Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Blue Black Black Black Black Blue Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Blue Green Green Blue Green Black Black\nBlack Black Green Black Black Green Green Black Black\nBlack Black Green Black Black Green Blue Green Black\nBlack Green Blue Green Black Black Green Blue Green\nBlack Black Green Blue Green Black Green Green Black\nBlack Black Black Green Black Green Blue Green Black\nBlack Black Black Black Black Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Green Blue Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Green Blue\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Green Blue 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:\nYellow Yellow Green Green\nYellow Yellow Green Green\nYellow Yellow Blue Blue\nYellow Yellow Blue Blue\n\nOutput:\nYellow Yellow Blue Blue\nYellow Yellow Blue Blue\nBlue Blue Yellow Yellow\nBlue Blue Yellow Yellow\n\n\nExample 2\nInput:\nBlue Blue Yellow Yellow\nBlue Blue Yellow Yellow\nBlue Blue Red Red\nBlue Blue Red Red\n\nOutput:\nYellow Yellow Blue Blue\nYellow Yellow Blue Blue\nBlue Blue Yellow Yellow\nBlue Blue Yellow Yellow\n\n\nExample 3\nInput:\nBlue Blue Red Red\nBlue Blue Red Red\nBrown Brown Yellow Yellow\nBrown Brown Yellow Yellow\n\nOutput:\nYellow Yellow Blue Blue\nYellow Yellow Blue Blue\nBlue Blue Yellow Yellow\nBlue Blue Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Green Green\nBrown Brown Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Blue Blue\nYellow Yellow Blue Blue\nBlue Blue Yellow Yellow\nBlue Blue Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Yellow Black Black Brown Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Yellow Black Black Brown Brown Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Orange Black Black Black Black Gray Gray Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Green Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack 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\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 Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Red Red Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Purple Orange Green Black Pink\nBlack Black Black Black Yellow Purple Black Brown\nBlack Purple Black Black Black Green Orange Black\nYellow Orange Black Black Orange Purple Blue Pink\nBlue Black Black Black Black Black Black Brown\nBlack Orange Black Black Pink Black Yellow Black\nBlack Black Red Pink Black Black Black Black\nPurple Black Black Black Black Black Black Orange\n\nOutput:\nPurple Black Black Black Black Black Black Orange\nBlack Black Red Pink Black Black Black Black\nBlack Orange Black Black Pink Black Yellow Black\nBlue Black Black Black Black Black Black Brown\nYellow Orange Black Black Orange Purple Blue Pink\nBlack Purple Black Black Black Green Orange Black\nBlack Black Black Black Yellow Purple Black Brown\nGray Black Black Purple Orange Green Black Pink\n\n\nExample 2\nInput:\nBlack Black Pink Black Black Brown Black\nBlack Black Black Black Yellow Brown Red\nBlack Brown Black Black Black Black Black\nRed Black Black Blue Orange Purple Red\nBrown Black Yellow Purple Black Black Brown\nBlack Purple Black Black Black Orange Black\nPink Yellow Black Gray Purple Black Black\n\nOutput:\nPink Yellow Black Gray Purple Black Black\nBlack Purple Black Black Black Orange Black\nBrown Black Yellow Purple Black Black Brown\nRed Black Black Blue Orange Purple Red\nBlack Brown Black Black Black Black Black\nBlack Black Black Black Yellow Brown Red\nBlack Black Pink Black Black Brown Black\n\n\nExample 3\nInput:\nBlack Brown Orange Black Black Black Black\nBlack Black Brown Black Orange Yellow Black\nBlack Black Blue Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Gray Black Black Black Black Black\nBlue Black Black Black Black Black Black\nPurple Black Black Black Black Brown Pink\nRed Gray Black Black Black Black Gray\nBlack Brown Black Black Brown Black Black\n\nOutput:\nBlack Brown Black Black Brown Black Black\nRed Gray Black Black Black Black Gray\nPurple Black Black Black Black Brown Pink\nBlue Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Brown Black Orange Yellow Black\nBlack Brown Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Pink Orange Black Blue Black Black Orange Gray\nGray Black Black Black Black Purple Black Black Black\nBlack Black Yellow Black Yellow Black Black Purple Black\nBlack Pink Gray Red Black Black Black Black Black\nBlack Black Gray Black Purple Black Purple Black Blue\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Orange Blue Brown Red Gray Gray\nBlack Pink Brown Brown Orange Black Green Black Black\nRed Purple Black Black Black 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```\nRed Purple Black Black Black Black Black Pink Black\nBlack Pink Brown Brown Orange Black Green Black Black\nBlack Black Black Orange Blue Brown Red Gray Gray\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Gray Black Purple Black Purple Black Blue\nBlack Pink Gray Red Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Purple Black\nGray Black Black Black Black Purple Black Black Black\nBlue Pink Orange Black Blue Black Black Orange 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:\nGray Purple Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Yellow Gray Pink Black Black Red Black Black\nBrown Black Black Black Gray Black Black Black Black Black\nBlack Black Orange Black Black Gray Black Black Black Black\nBlack Black Black Black Red Black Gray Black Black Black\nBlack Yellow Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Gray\n\nOutput:\nGray Purple Black Black Brown Black Black Black Black Black\nPurple Gray Black Black Black Black Black Yellow Black Black\nBlack Black Gray Yellow Black Orange Black Black Black Black\nBlack Black Yellow Gray Pink Black Black Red Black Black\nBrown Black Black Pink Gray Black Red Black Black Black\nBlack Black Orange Black Black Gray Black Black Black Black\nBlack Black Black Black Red Black Gray Black Black Black\nBlack Yellow Black Red Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Gray\n\n\nExample 2\nInput:\nGray Orange Black Green Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Green Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Green Black\nBlack Black Black Black Black Yellow Black Black Gray Black\nBlack Black Black Black Yellow Black Purple Black Black Gray\n\nOutput:\nGray Orange Black Green Black Black Black Black Black Black\nOrange Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nGreen Black Black Gray Green Black Black Black Black Black\nBlack Black Black Green Gray Black Black Black Black Yellow\nBlack Black Black Black Black Gray Black Black Yellow Black\nBlack Black Black Black Black Black Gray Black Black Purple\nBlack Black Black Black Black Black Black Gray Green Black\nBlack Black Black Black Black Yellow Black Green Gray Black\nBlack Black Black Black Yellow Black Purple Black Black Gray\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Brown\nBlack Black Red Black Gray Black Black Black Black Black\nBlack Black Black Pink Black Gray Black Black Black Black\nBlack Orange Black Black Black Black Gray Black Black Black\nRed Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Pink Black Gray Black\nBlack Black Black Black Black Black Black Black Black Gray\n\nOutput:\nGray Black Black Black Black Black Black Red Black Black\nBlack Gray Black Black Black Black Orange Black Black Black\nBlack Black Gray Black Red Black Black Black Black Black\nBlack Black Black Gray Black Pink Black Black Black Brown\nBlack Black Red Black Gray Black Black Black Black Black\nBlack Black Black Pink Black Gray Black Black Black Black\nBlack Orange Black Black Black Black Gray Black Pink Black\nRed Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Pink Black Gray Black\nBlack Black Black Brown Black Black Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Yellow Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Green Black Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Red Black Green Black Black\nRed Red Black Black Blue Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Green Black Black Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Black Red Black Black Black Black\nBlack Gray Black Green Yellow Red Black Black Black Green\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Green Black Gray Black Black Black Black Black Black\nBlack Yellow Black Black Gray Blue Black Green Black Black\nRed Red Black Black Red Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Green Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Green Black Black Black Black Black Black Black Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Black Green Pink Pink Black\nBlack Black Black Black Red Blue Black Green Pink Pink Black\nBlack Black Black Black Yellow Blue Black Yellow Yellow Yellow Black\nBlack Black Black Black Green Green Green Yellow Yellow Yellow Black\nBlack Black Black Black Green Purple Green Yellow Yellow Yellow 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 Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Blue Blue Blue Black\nBlack Black Black Black Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Red Pink Pink Black Black\nBlack Black Blue Red Red Pink Black Black\nBlack Black Yellow Red Pink Pink Black Black\nBlack Black Purple Yellow Black Black Black Black\nBlack Black Pink Orange Black Black Black Black\nBlack Black Pink Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black\nBlack Black Black Red Pink Yellow Pink Black\nBlack Black Black Black Black Yellow Orange Black\nBlack Black Black Black Black Yellow Yellow 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 Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black\nBlack Black Black Red Red Blue Red Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Red Red Black\nBlack Black Black Black Black Black Pink Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 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 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 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 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 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Black Black Black Red Red Red Red Red Red Red Red Red 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue 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 Blue Blue Blue 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 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 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 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 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 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 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 Black Black Black Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black 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 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 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 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\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 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black 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\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\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\n\n\nDirectly provide the output grids corresponding to the given test input 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 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 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 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 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated 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 Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Purple Black\nBlack Black Brown Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Gray Black\nBlack Black Gray Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\n\n\nExample 2\nInput:\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Black Black Black\nBlack Black Brown Black Brown Black Brown Brown Brown Black\nBlack Black Brown Black Brown Black Black Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\n\nOutput:\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Black Black\nBlack Black Pink Black Pink Black Gray Gray Gray Black\nBlack Black Pink Black Pink Black Black Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Purple Black\nBlack Brown Brown Black Black Purple Black Purple Purple Black\nBrown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Brown Brown\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Orange Black\nBlack Gray Gray Black Black Orange Black Orange Orange Black\nGray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Pink Pink\nBlack Black Black Black Black Black Orange 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\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 Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Purple Purple Black Black Black Purple Purple Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple 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 Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Gray Gray Black Black Black Orange Orange Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Yellow\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Yellow Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack 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 Yellow Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Yellow Black Black\nBlack Yellow Black Black Blue Blue Blue Blue 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 Black Black Black 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 Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\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 Orange Black Black Black Black Black Black\nBlack Black Orange Purple Orange Black Black Black Black Black\nBlack Orange Purple Purple Purple Orange Black Black Black Black\nOrange Purple Purple Purple Purple Purple Orange Black Black Black\nBlack Orange Purple Purple Purple Orange Black Black Black Black\nBlack Black Orange Purple Orange Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Orange Black Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Green\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 Green Black Green Black Black Black Black Black Black Black\nBlack Green Orange Green Orange Green Black Black Black Black Black Black\nGreen Orange Orange Green Orange Orange Green Black Black Black Black Black\nGreen Orange Orange Orange Orange Orange Green Black Black Black Black Black\nGreen Orange Orange Orange Orange Orange Green Black Black Black Black Black\nBlack Green Orange Orange Orange Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue\n\nOutput:\nBlack 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\nBlack Black Black Black Blue Gray Gray Blue Black Black Black Black Black\nBlack Black Black Black Blue Gray Gray Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Gray Gray Gray Gray Gray Blue Black Black\nBlack Black Black Black Blue Gray Gray Gray Gray Gray Blue Black Black\nBlack Black Black Black Blue Gray Blue Blue Blue Blue Black Black Black\nBlack 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\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 Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Black Pink Pink Pink 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 Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Gray Gray Black Black Black Black\nBlack Gray Pink Gray Pink Pink Pink Gray Black Black Black\nBlack Gray Pink Pink Pink Pink Pink Gray Black Black Black\nBlack Black Gray Gray Gray Pink Pink Gray Black Black Black\nBlack Gray Pink Pink Pink Pink Pink Gray Black Black Black\nBlack Gray Pink Gray Pink Pink Pink Gray Black Black Black\nBlack Black Gray Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nGreen Green Green 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\nRed Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red 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 Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black 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 Green Black Green Black Black Blue Blue Blue Blue Black\nBlack Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Red Black Black Red Red Red Red Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Black Black Pink\nBlack Black Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink\nBlack Pink Pink Pink Black Pink Pink Black Black Black Black Black Pink Black Pink Pink Pink Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Black Pink Pink Pink Black Black Black Black Black Black Pink Black Pink Black Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink\nBlack Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Black Pink\nPink Pink Black Pink Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Pink\nPink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Black Pink Black\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Black Black Black Pink\nBlack Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black\n\nOutput:\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Black Black Pink\nBlack Black Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink\nBlack Pink Pink Pink Black Pink Pink Blue Blue Blue Blue Black Pink Black Pink Pink Pink Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Black Pink Pink Pink Black Black Blue Blue Blue Blue Pink Black Pink Black Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Black Blue Blue Blue Blue Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink\nBlack Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Pink Black Pink Black Pink Black Pink\nPink Pink Black Pink Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Pink\nPink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Black Pink Black\nBlack Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black Black Pink Black Black Black Pink\nBlack Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black\n\n\nExample 2\nInput:\nBlack Red Black Black Red Red Red Red Red Black Red Black Red Black Red Red Red Red Red Black\nBlack Black Red Black Red Red Red Red Black Red Red Red Red Black Red Red Black Black Black Red\nBlack Black Black Black Red Red Black Red Red Black Black Red Red Black Red Black Red Red Red Red\nBlack Red Red Red Red Red Black Red Black Black Red Black Black Red Black Red Black Red Black Black\nRed Red Red Black Red Red Red Red Black Black Red Red Black Red Red Red Black Red Red Red\nRed Black Red Red Red Red Black Black Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Black Red Black Red Black Red Red Black Black Red Red Red Red Red Black Black Red\nRed Red Red Red Black Red Red Red Red Black Black Red Red Red Red Red Black Red Red Red\nBlack Black Red Black Red Red Black Red Red Black Red Red Red Black Red Black Black Black Red Red\nRed Red Black Red Red Red Black Red Black Red Red Red Red Black Black Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Black Black Red Red Black Red Black Red Red Red Red Red\nRed Red Black Red Red Black Red Red Red Red Black Red Red Red Black Red Black Red Black Red\nRed Red Black Red Red Red Red Red Black Black Red Red Red Black Red Red Black Red Red Black\nRed Black Red Red Red Black Red Black Red Red Black Red Black Red Black Red Red Red Red Black\nBlack Red Black Red Red Black Black Red Red Red Black Red Black Red Black Red Red Red Red Red\nRed Red Black Black Red Red Black Red Black Red Red Red Red Red Black Red Black Black Black Red\nRed Black Black Black Black Red Red Red Red Red Black Red Red Red Black Red Red Red Red Red\nRed Black Black Black Black Red Black Red Red Red Red Black Red Red Black Black Red Red Red Red\nRed Black Black Black Black Red Red Red Red Red Red Red Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Red Black Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nBlack Red Black Black Red Red Red Red Red Black Red Black Red Black Red Red Red Red Red Black\nBlack Black Red Black Red Red Red Red Black Red Red Red Red Black Red Red Black Black Black Red\nBlack Black Black Black Red Red Black Red Red Black Black Red Red Black Red Black Red Red Red Red\nBlack Red Red Red Red Red Black Red Black Black Red Black Black Red Black Red Black Red Black Black\nRed Red Red Black Red Red Red Red Black Black Red Red Black Red Red Red Black Red Red Red\nRed Black Red Red Red Red Black Black Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Black Red Black Red Black Red Red Black Black Red Red Red Red Red Black Black Red\nRed Red Red Red Black Red Red Red Red Black Black Red Red Red Red Red Black Red Red Red\nBlack Black Red Black Red Red Black Red Red Black Red Red Red Black Red Black Black Black Red Red\nRed Red Black Red Red Red Black Red Black Red Red Red Red Black Black Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Black Black Red Red Black Red Black Red Red Red Red Red\nRed Red Black Red Red Black Red Red Red Red Black Red Red Red Black Red Black Red Black Red\nRed Red Black Red Red Red Red Red Black Black Red Red Red Black Red Red Black Red Red Black\nRed Black Red Red Red Black Red Black Red Red Black Red Black Red Black Red Red Red Red Black\nBlack Red Black Red Red Black Black Red Red Red Black Red Black Red Black Red Red Red Red Red\nRed Red Black Black Red Red Black Red Black Red Red Red Red Red Black Red Black Black Black Red\nRed Blue Blue Blue Blue Red Red Red Red Red Black Red Red Red Black Red Red Red Red Red\nRed Blue Blue Blue Blue Red Black Red Red Red Red Black Red Red Black Black Red Red Red Red\nRed Blue Blue Blue Blue Red Red Red Red Red Red Red Black Black Black Red Red Red Red Black\nBlack Blue Blue Blue Blue Black Red Black Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nOrange Black Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Black Orange Orange Black Black Black Black\nBlack Orange Orange Orange Black Black Orange Orange Orange Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Orange Orange Black Orange Black Orange Orange Black Black Orange Orange Orange Black Orange Black Black Black Black Black\nOrange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Orange Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Orange Black Black Black Orange Orange Black Black Orange Orange\nOrange Orange Orange Black Black Black Orange Black Orange Black Black Black Orange Orange Orange Orange Orange Black Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Orange\nOrange Black Black Orange Black Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Black Orange Black Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange Black Orange\nBlack Orange Orange Orange Orange Black Black Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Orange Black Black Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange\nOrange Orange Orange Black Orange Orange Black Black Orange Black Orange Black Orange Black Orange Orange Orange Black Black Orange\nOrange Black Orange Orange Black Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Black Orange Black\nBlack Black Orange Orange Black Black Orange Black Black Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange\nOrange Orange Orange Black Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange\nBlack Black Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange\n\nOutput:\nOrange Black Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Black Orange Orange Blue Blue Blue Blue\nBlack Orange Orange Orange Black Black Orange Orange Orange Black Orange Orange Black Black Orange Orange Blue Blue Blue Blue\nBlack Orange Orange Black Orange Black Orange Orange Black Black Orange Orange Orange Black Orange Black Blue Blue Blue Blue\nOrange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Orange Blue Blue Blue Blue\nOrange Orange Orange Black Black Black Orange Orange Orange Black Orange Black Black Black Orange Orange Black Black Orange Orange\nOrange Orange Orange Black Black Black Orange Black Orange Black Black Black Orange Orange Orange Orange Orange Black Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Orange\nOrange Black Black Orange Black Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Black Orange Black Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange Black Orange\nBlack Orange Orange Orange Orange Black Black Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Orange Black Black Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange\nOrange Orange Orange Black Orange Orange Black Black Orange Black Orange Black Orange Black Orange Orange Orange Black Black Orange\nOrange Black Orange Orange Black Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Black Orange Black\nBlack Black Orange Orange Black Black Orange Black Black Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange\nOrange Orange Orange Black Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange\nBlack Black Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Black Black Brown Brown Black Brown Black Brown\nBrown Brown Black Black Brown Black Brown Brown Brown Brown Black Black Brown Black Brown Brown Brown Black Black Brown\nBrown Brown Black Black Brown Brown Black Brown Black Brown Brown Black Brown Black Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Black Brown Brown Brown Black Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Black Brown Brown Brown Brown Black Brown\nBrown Black Brown Black Black Brown Black Brown Brown Brown Black Brown Brown Brown Brown Black Black Black Black Black\nBrown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown Black Brown Black Black Black Black Black Black\nBlack Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Brown Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Brown Black Brown Black Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Black Brown Black Brown Brown Brown Brown Black Brown\nBlack Black Brown Brown Brown Black Black Black Black Brown Black Brown Black Brown Black Black Brown Black Brown Black\nBrown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Brown Black Black Brown Brown Brown Brown\nBrown Black Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Brown Black Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Black Brown Brown Black Black Black Brown\nBrown Black Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown\nBlack Brown Black Brown Brown Brown Black Brown Black Brown Black Brown Brown Brown Brown Black Brown Brown Black Brown\nBrown Brown Black Black Black Black Black Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Brown Brown Brown Brown\nBrown Brown Black Brown Brown Black Black Black Brown Brown Brown Black Brown Brown Brown Brown Brown 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 Brown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Black Black Brown Brown Black Brown Black Brown\nBrown Brown Black Black Brown Black Brown Brown Brown Brown Black Black Brown Black Brown Brown Brown Black Black Brown\nBrown Brown Black Black Brown Brown Black Brown Black Brown Brown Black Brown Black Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Black Brown Brown Brown Black Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Black Brown Brown Brown Brown Black Brown\nBrown Black Brown Black Black Brown Black Brown Brown Brown Black Brown Brown Brown Brown Black Blue Blue Blue Blue\nBrown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown Black Brown Black Black Blue Blue Blue Blue\nBlack Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Brown Blue Blue Blue Blue\nBlack Brown Black Black Black Blue Blue Blue Blue Black Brown Black Brown Black Brown Brown Blue Blue Blue Blue\nBlack Black Black Brown Brown Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Black Black Blue Blue Blue Blue Brown Brown Black Brown Black Brown Brown Brown Brown Black Brown\nBlack Black Brown Brown Brown Blue Blue Blue Blue Brown Black Brown Black Brown Black Black Brown Black Brown Black\nBrown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Brown Black Black Brown Brown Brown Brown\nBrown Black Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Brown Black Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Black Brown Brown Black Black Black Brown\nBrown Black Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown\nBlack Brown Black Brown Brown Brown Black Brown Black Brown Black Brown Brown Brown Brown Black Brown Brown Black Brown\nBrown Brown Black Black Black Black Black Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Brown Brown Brown Brown\nBrown Brown Black Brown Brown Black Black Black Brown Brown Brown Black Brown Brown Brown Brown Brown Brown 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Red Red Red Red Yellow\nYellow Yellow Red Red Red Red Red Red Yellow\nYellow Yellow Red Red Red Red Red Red Yellow\nYellow Yellow Red Red Red Red Red Red Yellow\nYellow Yellow Red Red Red Red Red Red Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Green Green Green Brown Brown\nBrown Brown Brown Green Green Green 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\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\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Red Red Gray Gray\nGray Gray Gray Red Red Gray Gray\nGray Gray Gray Red Red Gray Gray\nGray Gray Gray Red Red Gray Gray\nGray Gray Gray Red Red Gray Gray\nGray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red\nRed Green Green Green Green Green Green Green Green Red\nRed Green Green Green Green Green Green Green Green Red\nRed Green Green Green Green Green Green Green Green Red\nRed Green Green Green Green Green Green Green Green Red\nRed Green Green Green Green Green Green Green Green Red\nRed Green Green Green Green Green Green Green Green Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed 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```\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\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 Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Black 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\n\n\nExample 2\nInput:\nBlack Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow 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 Black\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue\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 Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Blue Black Black Blue 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:\nRed Black Black Green Brown Orange Orange Pink\nBlack Blue Blue Yellow Purple Black Gray Purple\nGray Black Brown Purple Black Black Orange Black\nBlack Gray Black Black Black Black Orange Black\nBlue Yellow Black Black Blue Black Black Pink\nBlack Purple Purple Black Black Black Black Black\n\nOutput:\nPurple Black Black Purple Purple Purple Purple Purple\nBlack Purple Purple Purple Purple Black Purple Purple\nPurple Black Purple Purple Black Black Purple Black\nBlack Purple Black Black Black Black Purple Black\nPurple Purple Black Black Purple Black Black Purple\nBlack Purple Purple Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Pink Black Black\nPurple Red Black Green Black\nBlack Pink Orange Black Blue\nBlack Black Orange Black Orange\nOrange Gray Black Black Black\nOrange Pink Blue Black Pink\nBrown Purple Black Black Black\nBlack Purple Yellow Brown Blue\n\nOutput:\nBlack Black Orange Black Black\nOrange Orange Black Orange Black\nBlack Orange Orange Black Orange\nBlack Black Orange Black Orange\nOrange Orange Black Black Black\nOrange Orange Orange Black Orange\nOrange Orange Black Black Black\nBlack Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Yellow Purple Black Green\nBlack Black Blue Black Purple\nBlue Yellow Black Black Black\nGreen Black Blue Purple Black\nBlack Black Gray Red Orange\nOrange Blue Black Orange Purple\nBlack Black Brown Black Green\nBlack Black Black Blue Black\nBlack Orange Pink Black Yellow\n\nOutput:\nBlack Gray Gray Black Gray\nBlack Black Gray Black Gray\nGray Gray Black Black Black\nGray Black Gray Gray Black\nBlack Black Gray Gray Gray\nGray Gray Black Gray Gray\nBlack Black Gray Black Gray\nBlack Black Black Gray Black\nBlack Gray Gray Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nRed Orange Black Green Black Black Pink\nBlack Black Gray Black Yellow Orange Black\nBrown Blue Blue Orange Orange Yellow Black\nBlack Black Yellow Pink Black Black Brown\nBlack Black Orange Green Black Pink Brown\nPurple Black Black Black Pink Black Black\nGreen Black Red Orange Gray Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Pink Black Black Pink\nBlack Black Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Black Black Pink\nBlack Black Pink Pink Black Pink Pink\nPink Black Black Black Pink Black Black\nPink Black Pink Pink Pink Pink Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Black Black Black Yellow\nBlack Yellow Black Green Black\nBlack Black Blue Black Black\nBlack Yellow Black Blue Black\nGreen Black Black Black Green\n\nOutput:\nGreen Green Black Black Black Black Black Black Red Red\nGreen Green Black Black Black Black Black Black Red Red\nBlack Black Red Red Black Black Yellow Yellow Black Black\nBlack Black Red Red Black Black Yellow Yellow Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Red Red Black Black Green Green Black Black\nBlack Black Red Red Black Black Green Green Black Black\nYellow Yellow Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow\n\n\nExample 2\nInput:\nGreen Black Black Black Blue\nBlack Green Black Green Black\nBlack Black Yellow Black Black\nBlack Red Black Yellow Black\nGreen Black Black Black Blue\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Green Green\nYellow Yellow Black Black Black Black Black Black Green Green\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Blue Blue Black Black Red Red Black Black\nBlack Black Blue Blue Black Black Red Red Black Black\nYellow Yellow Black Black Black Black Black Black Green Green\nYellow Yellow Black Black Black Black Black Black Green Green\n\n\nExample 3\nInput:\nGreen Black Black Black Green\nBlack Red Black Red Black\nBlack Black Yellow Black Black\nBlack Yellow Black Yellow Black\nGreen Black Black Black Blue\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black\nBlack Black Red Red Black Black Red Red Black Black\nYellow Yellow Black Black Black Black Black Black Green Green\nYellow Yellow Black Black Black Black Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Red\nBlack Blue Black Blue Black\nBlack Black Red Black Black\nBlack Blue Black Red Black\nGreen Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Green Green Black Black Blue Blue Black Black\nBlack Black Green Green Black Black Blue Blue Black Black\nYellow Yellow Black Black Black Black Black Black Green Green\nYellow Yellow Black Black Black Black Black Black Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown 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\nBlack 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\n\nOutput:\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown 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\nBlack 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink 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 Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green 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 Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink 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 Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green 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 Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 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 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 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 Brown Brown Brown 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray 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 Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray 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 Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray 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 Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Blue Blue Blue Black Black\nBlack Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nGreen Green Green Black Black Black\nGreen Green Black Black Black Black\nGreen Green Green Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Blue Blue Black\nBlack Blue Blue Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nGreen Green Black Black\nGreen Green Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Black Black\nGreen Green Green Green Green Black Black\nBlack Black Green Green Black Black Black\nBlack Black Green 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\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Blue Black\nBlack Black Black 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 Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Black Green Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Black Black Red Red Red Black Black\nBlack Red Black Black Black Red Red Red Black Black\nRed Red Red Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Black Red Red\nBlack Red Red Red Red Black Red Red Red Black\nBlack Red Red Red Red Black Black Red Red Red\nBlack Black Red Red Black Black Red Red Black Red\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Black Black Brown Brown Brown Black Black\nBlack Brown Black Black Black Brown Brown Brown Black Black\nBrown Brown Brown Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Black Brown Brown\nBlack Brown Brown Brown Brown Black Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black Black Brown Brown Brown\nBlack Black Brown Brown Black Black Brown Brown Black Brown\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 Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Red Red Red Red Black Black Red Red Black\nBlack Red Red Red Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Red Red Black Black\nBlack Black Red Red Black Black Red Red Black Black\nBlack Red Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Orange Orange Black\nBlack Brown Brown Brown Brown 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 Brown Brown Brown Black Black Brown Brown Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Black Red Red Red Red\nBlack Black Red Red Red Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Red Red Black Black Red Red Red Red\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown\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 Red Red Red Black Black\nBlack Black Red Red Black Red Red Red Black Black\nBlack Black Red Red Black Red Red Red Black Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Red\nRed Red Black Black Black Black Black Black Red Red\nBlack Black Black Red Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red 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 Brown Brown Brown Black Black\nBlack Black Brown Brown Black Brown Brown Brown Black Black\nBlack Black Brown Brown Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Brown\nBrown Brown Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Purple 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\nBlack Black Black Black Black Black Purple Pink Pink Black Black Yellow Yellow Yellow Yellow Yellow 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 Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Purple 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\nBlack Black Black Black Black Black Purple Pink Pink Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Red Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Green 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 Brown Brown Brown\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray 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 Pink Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink 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 Red Green Blue Gray\nRed Black Black Black Black\nGreen Black Black Pink Pink\nBlue Black Black Pink Pink\nGray Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Red Red Red Red Red Green Green Green Green Green Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nBlack Blue Black Black Black Red Red Red Red Red Green Green Green Green Green Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nBlack Black Blue Black Black Red Red Red Red Red Green Green Green Green Green Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nBlack Black Black Blue Black Red Red Red Red Red Green Green Green Green Green Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nBlack Black Black Black Blue Red Red Red Red Red Green Green Green Green Green Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nRed Red Red Red Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Blue Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Black Blue Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Black Black Blue Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Blue Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\n\n\nExample 2\nInput:\nBlack Blue Purple Red Gray\nBlue Black Black Black Black\nPurple Black Black Green Green\nRed Black Black Green Green\nGray Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Red Red Red Red Red Gray Gray Gray Gray Gray\nBlack Blue Black Black Black Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Red Red Red Red Red Gray Gray Gray Gray Gray\nBlack Black Blue Black Black Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Red Red Red Red Red Gray Gray Gray Gray Gray\nBlack Black Black Blue Black Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Red Red Red Red Red Gray Gray Gray Gray Gray\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Red Red Red Red Red Gray Gray Gray Gray Gray\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\nBlue Blue Blue Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Blue Black Black Black Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Blue Black Black Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Blue Black Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Blue Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Purple Brown Red Pink\nPurple Black Black Black Black\nBrown Black Black Red Red\nRed Black Black Red Red\nPink Black Black Black Black\n\nOutput:\nBlue Black Black Black Purple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Pink Pink Pink Pink\nBlack Blue Black Black Purple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Pink Pink Pink Pink\nBlack Black Blue Black Purple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Pink Pink Pink Pink\nBlack Black Black Blue Purple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Pink Pink Pink Pink\nPurple Purple Purple Purple Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Blue Black Black Black Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Black Black Black Black Black Blue Black Black Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Black Black Black Black Black Black Blue Black Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Black Black Black Black Black Black Black Blue Red Red Red Red Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Blue Green Yellow\nRed Black Black Black Black\nBlue Black Black Black Black\nGreen Black Black Pink Pink\nYellow Black Black Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red 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 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 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 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBrown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBrown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Black Black Pink Pink Black Black Pink Pink\nPink Pink Black Black Pink Pink Black Black Pink Pink\n\nOutput:\nPink Pink Black Black Pink Pink Black Black Pink Pink\nPink Pink Black Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Black Black Pink Pink Black Black Pink Pink\nPink Pink Black Black Pink Pink Black Black Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Blue Yellow Black Yellow Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Black Blue Blue Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Blue Yellow Black Yellow Blue Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Blue Yellow Black Yellow Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Blue Yellow Black Yellow Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Blue Yellow Yellow Yellow Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Green Green Green Black Black\nBlack Black Black Green Green Black Green Green Black Black Black\nBlack Red Black Red Green Black Green Red Black Red Black\nBlack Green Red Red Red Black Red Red Red Green Black\nBlack Green Red Red Green Black Green Red Red Green Black\nBlack Green Green Red Green Black Green Red Green Green Black\nBlack Green Green Red Green Black Green Red Green Green Black\nBlack Green Green Red Green Green Green Red Green Green Black\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Blue Blue Yellow Yellow Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Blue Blue Blue Black Black\nBlack Yellow Black Blue Black Blue Blue Blue Yellow Black Black\nBlack Yellow Black Black Black Black Black Yellow Yellow Black Black\nBlack Yellow Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Red Red Green Green Red Black Black Black\nBlack Red Red Red Black Black Red Red Red Black\nBlack Green Black Red Black Red Red Red Green Black\nBlack Green Black Black Black Black Black Green Green Black\nBlack Green Red Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Green Green Black Green Black Black\nBlack Black Black Red Red Green Green Black Black\nBlack Black Black Green Red Red Red Red Black\nBlack Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Blue Blue Blue Yellow Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Yellow Black Black Black Black Black Black\nBlack Blue Blue Blue Black Yellow Yellow Blue Blue Blue Yellow Black Black Black Black Black Black\nBlack Blue Blue Blue Black Yellow Yellow Blue Blue Blue Yellow Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Blue Blue Blue Yellow Blue Blue Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Blue Black Black Black Black Black Black\nBlack Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow 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 Green Red Red Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Red Red Green Green Red Black\nBlack Black Green Green Green Red Red Red Green Red Red Black\nBlack Red Red Red Red Green Green Green Green Red Green Black\nBlack Red Red Red Black Green Green Red Red Red Green Black\nBlack Red Red Red Black Green Green Red Red Red Green Black\nBlack Red Red Red Red Green Green Green Green Red Green Black\nBlack Black Green Green Green Red Red Red Green Red Red Black\nBlack Green Green Green Green Green Red Red Green Green Red Black\nBlack Green Red Red Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Black Black Black Brown 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 Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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