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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:\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black 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 Black Black Black 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 Black Black 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 Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\n\n\nExample 2\nInput:\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nGray Gray Gray Black Black Black Black Black Black Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nRed Red Red Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red\nRed Red Red Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red\nRed Red Red Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\n\n\nExample 3\nInput:\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nGreen Green Green Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Green Green Green\nRed Red Red Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red\nRed Red Red Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red\nRed Red Red Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Red Red Red\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\n\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```\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange 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\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\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\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange 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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nRed Green Blue Red Green Blue Red Green Blue Red Green Blue\nGreen Blue Red Green Blue Red Green Blue Red Green Blue Red\nBlue Red Green Blue Red Green Blue Red Green Blue Red Green\nRed Green Blue Red Green Blue Red Green Blue Red Green Blue\nGreen Blue Red Green Blue Red Green Blue Red Green Blue Red\nBlue Red Green Blue Red Green Blue Red Green Blue Red Green\nRed Green Blue Red Green Blue Red Green Blue Red Green Blue\nGreen Blue Red Green Blue Red Green Blue Red Green Blue Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nRed Green Blue Red Green Blue Red Green Blue Red\nGreen Blue Red Green Blue Red Green Blue Red Green\nBlue Red Green Blue Red Green Blue Red Green Blue\nRed Green Blue Red Green Blue Red Green Blue Red\nGreen Blue Red Green Blue Red Green Blue Red Green\nBlue Red Green Blue Red Green Blue Red Green Blue\nRed Green Blue Red Green Blue Red Green Blue Red\n\nOutput:\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\n\nExample 3\nInput:\nRed Green Blue Red Green Blue Red Green Blue Red Green\nGreen Blue Red Green Blue Red Green Blue Red Green Blue\nBlue Red Green Blue Red Green Blue Red Green Blue Red\nRed Green Blue Red Green Blue Red Green Blue Red Green\nGreen Blue Red Green Blue Red Green Blue Red Green Blue\nBlue Red Green Blue Red Green Blue Red Green Blue Red\nRed Green Blue Red Green Blue Red Green Blue Red Green\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Green Blue Red Green Blue Red Green Blue\nGreen Blue Red Green Blue Red Green Blue Red\nBlue Red Green Blue Red Green Blue Red Green\nRed Green Blue Red Green Blue Red Green Blue\nGreen Blue Red Green Blue Red Green Blue Red\nBlue Red Green Blue Red Green Blue Red Green\nRed Green Blue Red Green Blue Red Green Blue\nGreen Blue Red Green Blue Red Green Blue Red\nBlue Red Green Blue Red Green Blue Red 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"
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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\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"
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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\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 Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Black Black\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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 Blue Blue Blue 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\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\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 Blue 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 Blue Blue Blue 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow 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\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black 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\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack 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\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black\nRed Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black\nRed Red Red Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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\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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack 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\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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black\nRed Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black\nRed Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Blue Black Black Black Pink Pink Brown Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Orange Black Blue Black Black Black Black Black\nBlack Orange Orange 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 Brown Red Brown Black Black Black Black Black Black\nBlack Black Black Pink Black Red Black Black Black Black\nBlack Black Black Pink Black Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Orange Orange Black\nBlack Black Black Red Red Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Gray Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Black\nBlack Purple Black Blue Gray Black Black Black Blue Black\nBlack Purple Black Black Gray Black Black Black Green Black\nBlack Purple Pink Black Black Black Black Green Green 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 Red Red Red Black\nBlack Black Black Gray Black Black Black Black Red Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Brown Brown Black Black Red Red Black Black Black\nBlack Brown Black Black Black Black Black Black Pink Black\nBlack Red Black Black Black Black Purple Purple Purple 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 Blue Black Black Green Black Black\nBlack Black Black Black Pink Black Red Red Black Black\nBlack Black Black Brown Pink Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Purple Black Black\nBlack Black Green Green Black Black Black Red Black Black\nBlack Black Black Black Black Black Blue Blue Blue 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 Red Black Black\nBlack Red Red Orange Black Purple Red Red Black Black\nBlack Black Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Pink Pink Black Black Black Black Black Black\nBlack Black Black Brown Black Red Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Gray Gray Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Yellow Blue Black Black Black Blue Black\nBlack Black Black Black Black Black Blue Blue Blue 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 Red Red Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Gray Black Black Black Black Red Black\nBlack Black Black Gray Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Red Red 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack 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 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\nBlack 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 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\nBlack 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 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\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow 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\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 Black Black 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 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 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 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green 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\nOrange Orange Black Purple Purple Black Black Black Black\nOrange Orange Black Purple Purple 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 Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\n\nOutput:\nBlack Black Black Black Black Brown Brown Brown Brown\nYellow Yellow Black Green Green Brown Brown Brown Brown\nYellow Yellow Black Green Green Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Orange Orange Brown Brown Brown Brown\nBrown Brown Brown Orange Orange Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Orange Orange Brown Brown Brown Brown Brown Brown\nBlack Orange Orange Black Purple Purple Brown Brown Brown\nBlack Black Black Black Purple Purple Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Red Yellow Yellow Black Black\nBlack Black Black Green Green Black Red Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Black Black Black Black Black Black Brown Brown\nBrown Brown Brown Purple Purple Black Red Orange Orange Brown Brown\nBrown Brown Brown Purple Purple Black Red Orange Orange Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Purple Brown Brown Brown Brown Brown\nBlack Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Orange Orange 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 Yellow Yellow Black Black Yellow Yellow Black\nOrange Orange Black Yellow Yellow Black Black Yellow Yellow Black\nOrange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Orange Orange Brown Brown Orange Orange Black\nYellow Yellow Black Orange Orange Brown Brown Orange Orange Black\nYellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Blue Orange Black\nBlack Black Black Black Black Black Blue Blue 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 Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Red Red Black Black Black\nBrown Brown Brown Brown Brown Red Red Blue Orange Black\nBrown Brown Brown Brown Brown Brown Blue Blue Orange Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Red Red Brown Brown\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nGray Black Yellow Black Black Black Black Black\nGray Black Yellow Black Black Black Black Black\nGray Brown Yellow Black Black Black Black Black\nGray Brown Yellow Black Black Black Black Black\nGray Brown Yellow Black Black Black Black Black\n\nOutput:\nYellow Black Black\nYellow Black Black\nYellow Gray Black\nYellow Gray Black\nYellow Gray Brown\nYellow Gray Brown\nYellow Gray Brown\n\n\nExample 2\nInput:\nBlack Black Brown Black Black Black Black\nBlack Black Brown Black Black Black Black\nBlack Gray Brown Black Black Black Black\nBlack Gray Brown Black Black Black Black\nBlack Gray Brown Black Black Black Black\nPurple Gray Brown Pink Black Black Black\nPurple Gray Brown Pink Orange Black Black\n\nOutput:\nBrown Black Black Black Black\nBrown Black Black Black Black\nBrown Gray Black Black Black\nBrown Gray Black Black Black\nBrown Gray Black Black Black\nBrown Gray Purple Pink Black\nBrown Gray Purple Pink Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nOrange Blue Black Black Black Black Black Black Black\n\nOutput:\nOrange Black\nOrange Black\nOrange Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nYellow Black Blue Black Black Black Black Black Black\nYellow Black Blue Black Black Black Black Black Black\nYellow Black Blue Black Black Black Black Black Black\nYellow Black Blue Black Black Black Black Black Black\nYellow Black Blue Black Black Black Black Black Black\nYellow Brown 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```\nYellow Black Black\nYellow Black Black\nYellow Black Black\nYellow Blue Black\nYellow Blue Black\nYellow Blue Black\nYellow Blue Black\nYellow Blue Black\nYellow Blue Brown\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red 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\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\n\nOutput:\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\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\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown 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\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\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 Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink 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\nBlack Black Black Black Black Black Black Black Black Black\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 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\n\nOutput:\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nGreen Green Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Green Green\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green 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 Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Green Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Red Black Black Green Black Yellow Yellow Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Green Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Red Red Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Blue Blue Blue Black Black Black Black\nBlack 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 Red Red Red Black Black\n\n\nExample 2\nInput:\nBlack Red Red Red Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Red Black Black Black Black Blue Black Black Green Black\nBlack Black Black Black Black Red Black Black Black Blue Blue Black Black Green Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\n\nOutput:\nBlack Black Black Red Red Red Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue Blue 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 Yellow Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Yellow 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 Blue\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nYellow Yellow Black Black Black Yellow Black Black Black Black Black Black Black Green Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Blue Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black 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\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Green Black Black Black Black Yellow Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Red Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack 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\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black\n\nOutput:\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\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 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 Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray 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 Pink Pink Black Black\nBlack Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Orange Orange Black Black\nBlack Black Orange Orange Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black\nBlack Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Pink Black Black\nBlack Black Pink Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Blue Blue Blue Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Red Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Blue Blue Red Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Red Red Red Red Black Black Black\nBlack Black Blue Black Blue Black Black Black Red Red Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Black Red Red Red Red Red Black Black\nBlack Black Black Black Blue Black Blue Black Black Red Red Red Red Red Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Green Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Green Green Green Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Green Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\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 Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Green Green Green\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Green Green Red Red\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Green Green Green Green Red\nRed Red Red Red Red Red Red Red Red Red Red Green Green Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Black Black Black Black\nBlack Black Green Black Green Black Black Black Black\nGreen Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\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 Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\n\nOutput:\nGreen Green Green Green Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black\nGreen Green 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow\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```\nGreen Green Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 Purple Purple Purple Purple Brown Gray Gray Gray Gray Gray Gray Purple Purple Purple Black\nBlack Black Purple Black Brown Purple Blue Gray Blue Blue Purple Black Gray Black Black Purple Black\nBlack Black Purple Yellow Yellow Purple Blue Gray Yellow Blue Purple Blue Gray Gray Gray Gray Black\nBlack Black Purple Black Brown Purple Blue Gray Gray Gray Gray Gray Gray Yellow Black Gray Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Yellow Black Gray Black\nBlack Black Yellow Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Black\nBlue Blue Blue Gray Blue Blue Purple Purple Gray Purple Gray Purple Blue Gray Black Black Black\nBlue Black Yellow Gray Yellow Blue Purple Black Gray Purple Gray Purple Black Gray Black Black Black\nBlue Black Black Gray Black Blue Purple Black Gray Purple Gray Purple Black Gray Black Black Black\nBlue Black Black Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Purple Purple Purple 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Black Black Black\nBlue Black Black Blue Black Blue Blue Black Blue Blue Blue Blue Black Blue Black Black Black\nBlue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Black Black Pink Black Gray Black Black Black Green Green Green Green Green Black\nGray Black Pink Pink Pink Gray Pink Pink Black Green Black Black Black Green Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Green Black Black Black Green Black\nGray Gray Gray Gray Gray Gray Green Gray Pink Pink Pink Green Green Green Black\nGray Green Pink Gray Pink Gray Pink Gray Black Black Pink Black Black Black Black\nGray Green Black Gray Green Gray Green Gray Orange Orange Pink Orange Black Black Black\nGray Gray Gray Gray Gray Gray Green Gray Pink Pink Pink Purple Purple Purple Black\nBlack Black Black Gray Gray Gray Gray Gray Black Green Purple Orange Black Purple Black\nBlack Black Black Black Green Black Black Orange Black Green Purple Orange Black Purple Black\nBlack Black Black Black Green Green Green Orange Orange Orange Purple Purple Purple Purple Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Black Black Green Black Green Black Black Black Green Green Green Green Green Black\nGreen Black Green Green Green Green Green Green Black Green Black Black Black Green Black\nGreen Green Green Green Green Green Green Green Black Green Black Black Black Green Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nGreen Green Green Green Green Green Green Green Black Black Green Black Black Black Black\nGreen Green Black Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Black Green Green Green Black Green Black\nBlack Black Black Black Green Black Black Green Black Green Green Green Black Green Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Gray Black Black Pink Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Gray Black Black Pink Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Gray Black Black Pink Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Gray Black Black Pink Yellow Pink Green Yellow Yellow Black Black Green Black Black Black\nPink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Green Black Black Black\nPink Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black Black\nPink Black Blue Black Pink Yellow Yellow Yellow Yellow Black Yellow Green Green Black Black Black\nPink Pink Blue Pink Pink Blue Yellow Green Green Green Yellow Green Green Black Black Black\nBlack Black Blue Black Black Blue Yellow Yellow Yellow Yellow Yellow Green Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Green Green Green Green Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Black Black Blue Blue Black Black Black Blue Black Black Black Black Black Black\nBlack Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Black\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Black Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue 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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Gray Purple Blue Blue Blue Blue Brown Brown Black\nBlack Black Black Black Red Gray Purple Blue Gray Purple Blue Black Brown Black\nBlack Blue Blue Blue Blue Blue Blue Blue Gray Purple Blue Gray Gray Black\nBlack Blue Black Black Red Gray Blue Blue Purple Purple Blue Black Gray Black\nBlack Blue Black Black Black Gray Blue Blue Purple Purple Blue Brown Gray Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Gray Black\nBlack Black Blue Blue Blue Blue Blue Purple Brown Gray Purple Gray Gray Black\nBlack Black Blue Black Black Brown Blue Purple Brown Black Purple Black Black Black\nBlack Gray Blue Gray Gray Gray Blue Purple Purple Purple Purple Black Black Black\nBlack Gray Blue Blue Blue Blue Blue Black Black Black Brown Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Black Brown Black Black Black\nBlack Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black\nBlack Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Black Black Gray Gray Gray Gray Black Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Gray Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Black Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Green Green Green Green Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Blue Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Blue Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Green Green Green Black\nBlack Black Green Green Black Black Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Black Black Black\nBlack 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\nBlack Black Black Black 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\nBlack Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Black Gray Gray Black Black Black\nBlack Gray Gray Gray Black Gray Gray Black Black Black\nBlack Gray Gray Gray Black Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Red Red Red Black Black Red Red Black Black\nBlack Red Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black\nBlack Red Red Black\nBlack Red Red Black\nBlack Red Red Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Brown Brown Orange Orange Yellow Yellow Gray Gray Purple Purple Yellow Yellow Green Green\nPurple Purple Brown Brown Orange Orange Yellow Yellow Gray Gray Purple Purple Yellow Yellow Green Green\nOrange Orange Orange Orange Pink Pink Gray Gray Purple Purple Green Green Orange Orange Green Green\nOrange Orange Orange Orange Pink Pink Gray Gray Purple Purple Green Green Orange Orange Green Green\nBlue Blue Red Red Gray Gray Yellow Yellow Orange Orange Green Green Purple Purple Brown Brown\nBlue Blue Red Red Gray Gray Yellow Yellow Orange Orange Green Green Purple Purple Brown Brown\nBlue Blue Pink Pink Red Red Yellow Yellow Green Green Green Green Gray Gray Orange Orange\nBlue Blue Pink Pink Red Red Yellow Yellow Green Green Green Green Gray Gray Orange Orange\nPurple Purple Orange Orange Yellow Yellow Purple Purple Yellow Yellow Purple Purple Pink Pink Pink Pink\nPurple Purple Orange Orange Yellow Yellow Purple Purple Yellow Yellow Purple Purple Pink Pink Pink Pink\nYellow Yellow Purple Purple Blue Blue Purple Purple Yellow Yellow Blue Blue Blue Blue Gray Gray\nYellow Yellow Purple Purple Blue Blue Purple Purple Yellow Yellow Blue Blue Blue Blue Gray Gray\nBlue Blue Purple Purple Purple Purple Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple\nBlue Blue Purple Purple Purple Purple Blue Blue Orange Orange Orange Orange Orange Orange Purple Purple\nBlue Blue Red Red Brown Brown Brown Brown Brown Brown Green Green Gray Gray Brown Brown\nBlue Blue Red Red Brown Brown Brown Brown Brown Brown Green Green Gray Gray Brown Brown\nPink Pink Brown Brown Purple Purple Gray Gray Purple Purple Orange Orange Orange Orange Pink Pink\nPink Pink Brown Brown Purple Purple Gray Gray Purple Purple Orange Orange Orange Orange Pink Pink\nGray Gray Red Red Green Green Purple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow\nGray Gray Red Red Green Green Purple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow\nBrown Brown Brown Brown Blue Blue Pink Pink Gray Gray Red Red Orange Orange Pink Pink\nBrown Brown Brown Brown Blue Blue Pink Pink Gray Gray Red Red Orange Orange Pink Pink\nBlue Blue Red Red Pink Pink Pink Pink Yellow Yellow Purple Purple Orange Orange Orange Orange\nBlue Blue Red Red Pink Pink Pink Pink Yellow Yellow Purple Purple Orange Orange Orange Orange\n\nOutput:\nPink Pink Brown Brown Blue Blue Purple Purple Gray Gray Pink Pink Purple Purple Red Red\nPink Pink Brown Brown Blue Blue Purple Purple Gray Gray Pink Pink Purple Purple Red Red\nBlue Blue Blue Blue Yellow Yellow Gray Gray Pink Pink Red Red Blue Blue Red Red\nBlue Blue Blue Blue Yellow Yellow Gray Gray Pink Pink Red Red Blue Blue Red Red\nOrange Orange Green Green Gray Gray Purple Purple Blue Blue Red Red Pink Pink Brown Brown\nOrange Orange Green Green Gray Gray Purple Purple Blue Blue Red Red Pink Pink Brown Brown\nOrange Orange Yellow Yellow Green Green Purple Purple Red Red Red Red Gray Gray Blue Blue\nOrange Orange Yellow Yellow Green Green Purple Purple Red Red Red Red Gray Gray Blue Blue\nPink Pink Blue Blue Purple Purple Pink Pink Purple Purple Pink Pink Yellow Yellow Yellow Yellow\nPink Pink Blue Blue Purple Purple Pink Pink Purple Purple Pink Pink Yellow Yellow Yellow Yellow\nPurple Purple Pink Pink Orange Orange Pink Pink Purple Purple Orange Orange Orange Orange Gray Gray\nPurple Purple Pink Pink Orange Orange Pink Pink Purple Purple Orange Orange Orange Orange Gray Gray\nOrange Orange Pink Pink Pink Pink Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink\nOrange Orange Pink Pink Pink Pink Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink\nOrange Orange Green Green Brown Brown Brown Brown Brown Brown Red Red Gray Gray Brown Brown\nOrange Orange Green Green Brown Brown Brown Brown Brown Brown Red Red Gray Gray Brown Brown\nYellow Yellow Brown Brown Pink Pink Gray Gray Pink Pink Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Brown Brown Pink Pink Gray Gray Pink Pink Blue Blue Blue Blue Yellow Yellow\nGray Gray Green Green Red Red Pink Pink Brown Brown Blue Blue Brown Brown Purple Purple\nGray Gray Green Green Red Red Pink Pink Brown Brown Blue Blue Brown Brown Purple Purple\nBrown Brown Brown Brown Orange Orange Yellow Yellow Gray Gray Green Green Blue Blue Yellow Yellow\nBrown Brown Brown Brown Orange Orange Yellow Yellow Gray Gray Green Green Blue Blue Yellow Yellow\nOrange Orange Green Green Yellow Yellow Yellow Yellow Purple Purple Pink Pink Blue Blue Blue Blue\nOrange Orange Green Green Yellow Yellow Yellow Yellow Purple Purple Pink Pink Blue Blue Blue Blue\n\n\nExample 2\nInput:\nYellow Yellow Orange Orange Purple Purple Red Red Yellow Yellow Brown Brown Orange Orange\nYellow Yellow Orange Orange Purple Purple Red Red Yellow Yellow Brown Brown Orange Orange\nRed Red Gray Gray Yellow Yellow Green Green Yellow Yellow Purple Purple Red Red\nRed Red Gray Gray Yellow Yellow Green Green Yellow Yellow Purple Purple Red Red\nPurple Purple Gray Gray Gray Gray Blue Blue Green Green Purple Purple Gray Gray\nPurple Purple Gray Gray Gray Gray Blue Blue Green Green Purple Purple Gray Gray\nPurple Purple Brown Brown Pink Pink Orange Orange Green Green Brown Brown Blue Blue\nPurple Purple Brown Brown Pink Pink Orange Orange Green Green Brown Brown Blue Blue\nPurple Purple Yellow Yellow Gray Gray Pink Pink Pink Pink Brown Brown Pink Pink\nPurple Purple Yellow Yellow Gray Gray Pink Pink Pink Pink Brown Brown Pink Pink\nBrown Brown Orange Orange Purple Purple Purple Purple Brown Brown Gray Gray Green Green\nBrown Brown Orange Orange Purple Purple Purple Purple Brown Brown Gray Gray Green Green\nBrown Brown Pink Pink Red Red Purple Purple Orange Orange Brown Brown Red Red\nBrown Brown Pink Pink Red Red Purple Purple Orange Orange Brown Brown Red Red\nOrange Orange Red Red Purple Purple Blue Blue Blue Blue Purple Purple Blue Blue\nOrange Orange Red Red Purple Purple Blue Blue Blue Blue Purple Purple Blue Blue\nOrange Orange Orange Orange Blue Blue Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nOrange Orange Orange Orange Blue Blue Yellow Yellow Orange Orange Blue Blue Yellow Yellow\nPink Pink Pink Pink Pink Pink Orange Orange Pink Pink Brown Brown Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Pink Pink Brown Brown Orange Orange\n\nOutput:\nPurple Purple Blue Blue Pink Pink Green Green Purple Purple Brown Brown Blue Blue\nPurple Purple Blue Blue Pink Pink Green Green Purple Purple Brown Brown Blue Blue\nGreen Green Gray Gray Purple Purple Red Red Purple Purple Pink Pink Green Green\nGreen Green Gray Gray Purple Purple Red Red Purple Purple Pink Pink Green Green\nPink Pink Gray Gray Gray Gray Orange Orange Red Red Pink Pink Gray Gray\nPink Pink Gray Gray Gray Gray Orange Orange Red Red Pink Pink Gray Gray\nPink Pink Brown Brown Yellow Yellow Blue Blue Red Red Brown Brown Orange Orange\nPink Pink Brown Brown Yellow Yellow Blue Blue Red Red Brown Brown Orange Orange\nPink Pink Purple Purple Gray Gray Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow\nPink Pink Purple Purple Gray Gray Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow\nBrown Brown Blue Blue Pink Pink Pink Pink Brown Brown Gray Gray Red Red\nBrown Brown Blue Blue Pink Pink Pink Pink Brown Brown Gray Gray Red Red\nBrown Brown Yellow Yellow Green Green Pink Pink Blue Blue Brown Brown Green Green\nBrown Brown Yellow Yellow Green Green Pink Pink Blue Blue Brown Brown Green Green\nBlue Blue Green Green Pink Pink Orange Orange Orange Orange Pink Pink Orange Orange\nBlue Blue Green Green Pink Pink Orange Orange Orange Orange Pink Pink Orange Orange\nBlue Blue Blue Blue Orange Orange Purple Purple Blue Blue Orange Orange Purple Purple\nBlue Blue Blue Blue Orange Orange Purple Purple Blue Blue Orange Orange Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Brown Brown Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Brown Brown Blue Blue\n\n\nExample 3\nInput:\nPurple Purple Green Green Yellow Yellow Purple Purple Purple Purple Brown Brown Orange Orange\nPurple Purple Green Green Yellow Yellow Purple Purple Purple Purple Brown Brown Orange Orange\nPink Pink Orange Orange Blue Blue Blue Blue Pink Pink Blue Blue Pink Pink\nPink Pink Orange Orange Blue Blue Blue Blue Pink Pink Blue Blue Pink Pink\nPink Pink Blue Blue Green Green Blue Blue Gray Gray Blue Blue Purple Purple\nPink Pink Blue Blue Green Green Blue Blue Gray Gray Blue Blue Purple Purple\nYellow Yellow Purple Purple Yellow Yellow Gray Gray Orange Orange Purple Purple Orange Orange\nYellow Yellow Purple Purple Yellow Yellow Gray Gray Orange Orange Purple Purple Orange Orange\nBrown Brown Pink Pink Green Green Green Green Purple Purple Green Green Blue Blue\nBrown Brown Pink Pink Green Green Green Green Purple Purple Green Green Blue Blue\nPink Pink Brown Brown Blue Blue Gray Gray Pink Pink Orange Orange Green Green\nPink Pink Brown Brown Blue Blue Gray Gray Pink Pink Orange Orange Green Green\nGray Gray Brown Brown Green Green Blue Blue Yellow Yellow Yellow Yellow Red Red\nGray Gray Brown Brown Green Green Blue Blue Yellow Yellow Yellow Yellow Red Red\nBlue Blue Yellow Yellow Brown Brown Pink Pink Red Red Purple Purple Yellow Yellow\nBlue Blue Yellow Yellow Brown Brown Pink Pink Red Red Purple Purple Yellow Yellow\nGreen Green Orange Orange Red Red Brown Brown Gray Gray Blue Blue Yellow Yellow\nGreen Green Orange Orange Red Red Brown Brown Gray Gray Blue Blue Yellow Yellow\nBlue Blue Blue Blue Purple Purple Yellow Yellow Orange Orange Pink Pink Brown Brown\nBlue Blue Blue Blue Purple Purple Yellow Yellow Orange Orange Pink Pink Brown Brown\nGray Gray Yellow Yellow Orange Orange Brown Brown Green Green Gray Gray Gray Gray\nGray Gray Yellow Yellow Orange Orange Brown Brown Green Green Gray Gray Gray Gray\n\nOutput:\nPink Pink Red Red Purple Purple Pink Pink Pink Pink Brown Brown Blue Blue\nPink Pink Red Red Purple Purple Pink Pink Pink Pink Brown Brown Blue Blue\nYellow Yellow Blue Blue Orange Orange Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nYellow Yellow Blue Blue Orange Orange Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nYellow Yellow Orange Orange Red Red Orange Orange Gray Gray Orange Orange Pink Pink\nYellow Yellow Orange Orange Red Red Orange Orange Gray Gray Orange Orange Pink Pink\nPurple Purple Pink Pink Purple Purple Gray Gray Blue Blue Pink Pink Blue Blue\nPurple Purple Pink Pink Purple Purple Gray Gray Blue Blue Pink Pink Blue Blue\nBrown Brown Yellow Yellow Red Red Red Red Pink Pink Red Red Orange Orange\nBrown Brown Yellow Yellow Red Red Red Red Pink Pink Red Red Orange Orange\nYellow Yellow Brown Brown Orange Orange Gray Gray Yellow Yellow Blue Blue Red Red\nYellow Yellow Brown Brown Orange Orange Gray Gray Yellow Yellow Blue Blue Red Red\nGray Gray Brown Brown Red Red Orange Orange Purple Purple Purple Purple Green Green\nGray Gray Brown Brown Red Red Orange Orange Purple Purple Purple Purple Green Green\nOrange Orange Purple Purple Brown Brown Yellow Yellow Green Green Pink Pink Purple Purple\nOrange Orange Purple Purple Brown Brown Yellow Yellow Green Green Pink Pink Purple Purple\nRed Red Blue Blue Green Green Brown Brown Gray Gray Orange Orange Purple Purple\nRed Red Blue Blue Green Green Brown Brown Gray Gray Orange Orange Purple Purple\nOrange Orange Orange Orange Pink Pink Purple Purple Blue Blue Yellow Yellow Brown Brown\nOrange Orange Orange Orange Pink Pink Purple Purple Blue Blue Yellow Yellow Brown Brown\nGray Gray Purple Purple Blue Blue Brown Brown Red Red Gray Gray Gray Gray\nGray Gray Purple Purple Blue Blue Brown Brown Red Red Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Blue Blue Yellow Yellow Purple Purple Green Green Orange Orange Gray Gray Pink Pink Pink Pink\nYellow Yellow Blue Blue Yellow Yellow Purple Purple Green Green Orange Orange Gray Gray Pink Pink Pink Pink\nRed Red Orange Orange Blue Blue Red Red Green Green Blue Blue Pink Pink Pink Pink Blue Blue\nRed Red Orange Orange Blue Blue Red Red Green Green Blue Blue Pink Pink Pink Pink Blue Blue\nPink Pink Yellow Yellow Pink Pink Green Green Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown\nPink Pink Yellow Yellow Pink Pink Green Green Pink Pink Orange Orange Orange Orange Orange Orange Brown Brown\nGreen Green Red Red Blue Blue Blue Blue Red Red Purple Purple Orange Orange Brown Brown Gray Gray\nGreen Green Red Red Blue Blue Blue Blue Red Red Purple Purple Orange Orange Brown Brown Gray Gray\nPurple Purple Blue Blue Yellow Yellow Yellow Yellow Orange Orange Red Red Blue Blue Brown Brown Brown Brown\nPurple Purple Blue Blue Yellow Yellow Yellow Yellow Orange Orange Red Red Blue Blue Brown Brown Brown Brown\nGreen Green Purple Purple Brown Brown Purple Purple Gray Gray Brown Brown Yellow Yellow Pink Pink Pink Pink\nGreen Green Purple Purple Brown Brown Purple Purple Gray Gray Brown Brown Yellow Yellow Pink Pink Pink Pink\nOrange Orange Red Red Orange Orange Purple Purple Green Green Pink Pink Brown Brown Gray Gray Green Green\nOrange Orange Red Red Orange Orange Purple Purple Green Green Pink Pink Brown Brown Gray Gray Green Green\nPurple Purple Gray Gray Brown Brown Orange Orange Purple Purple Red Red Purple Purple Pink Pink Gray Gray\nPurple Purple Gray Gray Brown Brown Orange Orange Purple Purple Red Red Purple Purple Pink Pink Gray Gray\nGray Gray Gray Gray Purple Purple Brown Brown Yellow Yellow Blue Blue Pink Pink Gray Gray Pink Pink\nGray Gray Gray Gray Purple Purple Brown Brown Yellow Yellow Blue Blue Pink Pink Gray Gray 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```\nPurple Purple Orange Orange Purple Purple Pink Pink Red Red Blue Blue Gray Gray Yellow Yellow Yellow Yellow\nPurple Purple Orange Orange Purple Purple Pink Pink Red Red Blue Blue Gray Gray Yellow Yellow Yellow Yellow\nGreen Green Blue Blue Orange Orange Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Orange Orange\nGreen Green Blue Blue Orange Orange Green Green Red Red Orange Orange Yellow Yellow Yellow Yellow Orange Orange\nYellow Yellow Purple Purple Yellow Yellow Red Red Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown\nYellow Yellow Purple Purple Yellow Yellow Red Red Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown\nRed Red Green Green Orange Orange Orange Orange Green Green Pink Pink Blue Blue Brown Brown Gray Gray\nRed Red Green Green Orange Orange Orange Orange Green Green Pink Pink Blue Blue Brown Brown Gray Gray\nPink Pink Orange Orange Purple Purple Purple Purple Blue Blue Green Green Orange Orange Brown Brown Brown Brown\nPink Pink Orange Orange Purple Purple Purple Purple Blue Blue Green Green Orange Orange Brown Brown Brown Brown\nRed Red Pink Pink Brown Brown Pink Pink Gray Gray Brown Brown Purple Purple Yellow Yellow Yellow Yellow\nRed Red Pink Pink Brown Brown Pink Pink Gray Gray Brown Brown Purple Purple Yellow Yellow Yellow Yellow\nBlue Blue Green Green Blue Blue Pink Pink Red Red Yellow Yellow Brown Brown Gray Gray Red Red\nBlue Blue Green Green Blue Blue Pink Pink Red Red Yellow Yellow Brown Brown Gray Gray Red Red\nPink Pink Gray Gray Brown Brown Blue Blue Pink Pink Green Green Pink Pink Yellow Yellow Gray Gray\nPink Pink Gray Gray Brown Brown Blue Blue Pink Pink Green Green Pink Pink Yellow Yellow Gray Gray\nGray Gray Gray Gray Pink Pink Brown Brown Purple Purple Orange Orange Yellow Yellow Gray Gray Yellow Yellow\nGray Gray Gray Gray Pink Pink Brown Brown Purple Purple Orange Orange Yellow Yellow Gray Gray 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:\nGray Purple Brown Pink Black Pink Orange Purple\nBrown Orange Orange Green Green Brown Orange Pink\nOrange Purple Gray Pink Red Orange Gray Orange\nRed Orange Green Orange Orange Blue Purple Black\nBrown Gray Black Purple Green Green Green Purple\nPurple Orange Green Black Black Orange Brown Purple\nPurple Red Brown Gray Purple Pink Pink Gray\nGreen Red Pink Black Gray Black Black Purple\nPink Gray Blue Black Red Purple Brown Purple\nPurple Purple Blue Brown Blue Brown Blue Orange\nGray Brown Red Brown Orange Blue Pink Orange\nOrange Red Red Purple Black Red Red Pink\nBlue Brown Red Green Green Purple Blue Purple\nPink Orange Brown Green Orange Purple Blue Red\nBrown Brown Green Pink Orange Blue Black Pink\nRed Blue Black Blue Orange Purple Orange Purple\nBlue Pink Brown Black Pink Orange Gray Blue\nGray Black Blue Purple Purple Green Blue Brown\n\nOutput:\nGray Purple Brown Pink Black Pink Orange Purple\nBrown Orange Orange Red Red Brown Orange Pink\nOrange Purple Gray Pink Blue Orange Gray Orange\nBlue Orange Red Orange Orange Green Purple Black\nBrown Gray Black Purple Red Red Red Purple\nPurple Orange Red Black Black Orange Brown Purple\nPurple Blue Brown Gray Purple Pink Pink Gray\nRed Blue Pink Black Gray Black Black Purple\nPink Gray Green Black Blue Purple Brown Purple\nPurple Purple Green Brown Green Brown Green Orange\nGray Brown Blue Brown Orange Green Pink Orange\nOrange Blue Blue Purple Black Blue Blue Pink\nGreen Brown Blue Red Red Purple Green Purple\nPink Orange Brown Red Orange Purple Green Blue\nBrown Brown Red Pink Orange Green Black Pink\nBlue Green Black Green Orange Purple Orange Purple\nGreen Pink Brown Black Pink Orange Gray Green\nGray Black Green Purple Purple Red Green Brown\n\n\nExample 2\nInput:\nOrange Blue Gray Red Pink Green Blue Red Black Orange\nBrown Purple Purple Brown Brown Gray Brown Purple Red Brown\nBlack Black Green Green Pink Brown Orange Red Orange Pink\nBlue Green Red Orange Pink Purple Purple Red Black Orange\nPurple Black Gray Pink Gray Purple Blue Purple Red Pink\nOrange Gray Gray Brown Black Orange Pink Blue Orange Pink\nBlack Blue Purple Purple Purple Brown Brown Orange Orange Pink\n\nOutput:\nOrange Green Gray Blue Pink Red Green Blue Black Orange\nBrown Purple Purple Brown Brown Gray Brown Purple Blue Brown\nBlack Black Red Red Pink Brown Orange Blue Orange Pink\nGreen Red Blue Orange Pink Purple Purple Blue Black Orange\nPurple Black Gray Pink Gray Purple Green Purple Blue Pink\nOrange Gray Gray Brown Black Orange Pink Green Orange Pink\nBlack Green Purple Purple Purple Brown Brown Orange Orange Pink\n\n\nExample 3\nInput:\nOrange Pink Purple Orange Red Green Blue Black Black Brown Gray\nBrown Red Red Purple Green Orange Black Purple Red Pink Gray\nPurple Pink Gray Orange Purple Pink Black Blue Gray Orange Green\nPurple Red Red Gray Green Gray Red Pink Brown Black Brown\nBlack Red Green Black Green Red Green Brown Blue Purple Orange\nGreen Orange Red Purple Pink Brown Brown Black Orange Red Black\nPurple Pink Pink Black Brown Pink Gray Red Green Red Gray\n\nOutput:\nOrange Pink Purple Orange Blue Red Green Black Black Brown Gray\nBrown Blue Blue Purple Red Orange Black Purple Blue Pink Gray\nPurple Pink Gray Orange Purple Pink Black Green Gray Orange Red\nPurple Blue Blue Gray Red Gray Blue Pink Brown Black Brown\nBlack Blue Red Black Red Blue Red Brown Green Purple Orange\nRed Orange Blue Purple Pink Brown Brown Black Orange Blue Black\nPurple Pink Pink Black Brown Pink Gray Blue Red Blue Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Red Brown Gray Brown Pink Green Gray Pink\nPink Pink Orange Brown Brown Pink Gray Pink Gray\nGray Pink Orange Orange Red Black Brown Purple Pink\nOrange Red Orange Purple Blue Brown Pink Blue Red\nGreen Green Pink Blue Orange Gray Green Purple Black\nPurple Blue Green Red Black Purple Purple Orange Brown\nBlack Red Pink Red Black Brown Orange Brown Purple\nRed Orange Black Blue Red Purple Blue Gray Gray\nBlack Blue Pink Green Purple Green Orange Purple Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Blue Brown Gray Brown Pink Red Gray Pink\nPink Pink Orange Brown Brown Pink Gray Pink Gray\nGray Pink Orange Orange Blue Black Brown Purple Pink\nOrange Blue Orange Purple Green Brown Pink Green Blue\nRed Red Pink Green Orange Gray Red Purple Black\nPurple Green Red Blue Black Purple Purple Orange Brown\nBlack Blue Pink Blue Black Brown Orange Brown Purple\nBlue Orange Black Green Blue Purple Green Gray Gray\nBlack Green Pink Red Purple Red Orange Purple Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Blue Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink 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\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\nPink Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Pink Black Pink Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Pink Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black 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 Pink Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Blue 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 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 Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Blue Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Blue Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 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 Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Blue Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Red Red Red Red Red Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black\nBlack Black Black Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Red Red Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Green Green Green Black\nBlack Black Green Black Black Black\nBlack Black Green Green Green Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Green Green Green\nBlack Black Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Black Black Green Green Green Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Green Green Green\nBlack Black Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Black Black Green Green Green Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Brown Brown Purple\nYellow Green Green Purple\nYellow Yellow Orange Orange\nYellow Red Gray Orange\n\nOutput:\nYellow Red Gray Orange\nYellow Yellow Orange Orange\nYellow Green Green Purple\nYellow Brown Brown Purple\nYellow Brown Brown Purple\nYellow Green Green Purple\nYellow Yellow Orange Orange\nYellow Red Gray Orange\n\n\nExample 2\nInput:\nPink Yellow Green Yellow Yellow\nPink Pink Green Gray Gray\nBlue Blue Green Brown Brown\nPurple Brown Yellow Orange Brown\nOrange Purple Gray Gray Red\n\nOutput:\nOrange Purple Gray Gray Red\nPurple Brown Yellow Orange Brown\nRed Red Green Brown Brown\nPink Pink Green Gray Gray\nPink Yellow Green Yellow Yellow\nPink Yellow Green Yellow Yellow\nPink Pink Green Gray Gray\nRed Red Green Brown Brown\nPurple Brown Yellow Orange Brown\nOrange Purple Gray Gray Red\n\n\nExample 3\nInput:\nPink Gray Red Purple Orange\nGray Blue Red Brown Brown\nYellow Red Red Brown Purple\nBrown Gray Gray Orange Orange\nGray Gray Blue Blue Orange\n\nOutput:\nGray Gray Red Red Orange\nBrown Gray Gray Orange Orange\nYellow Red Red Brown Purple\nGray Red Red Brown Brown\nPink Gray Red Purple Orange\nPink Gray Red Purple Orange\nGray Red Red Brown Brown\nYellow Red Red Brown Purple\nBrown Gray Gray Orange Orange\nGray Gray Red Red Orange\n\n\nHere is the input grid for the test example:\nInput:\nRed Yellow Purple\nPink Blue Blue\nBlue 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```\nRed Red Pink\nPink Red Red\nRed Yellow Purple\nRed Yellow Purple\nPink Red Red\nRed Red 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 Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nRed Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nRed Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nRed Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nRed Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nRed Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nRed Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nRed Black Black Black Black Black Black Black Black Black Black Black Black Blue\nRed Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nRed Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nRed Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Red Red Black Black Black Blue Blue Blue Blue Blue 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 Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 Blue Blue Blue Blue\nBlack 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\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\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 Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\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 Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Black Red Red Red Red\nBlack Black Black Red Red Red Black Black Red Red Red Red\nBlack Black Black Red Red Red Black Black Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nGray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 Brown\nBrown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nBrown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nBrown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nBrown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nBrown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nBrown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nBrown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nBrown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nBrown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nBrown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nBrown Brown 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 Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Orange Black Orange Yellow Yellow Black Black Black\nBlack Black Black Yellow Black Black Green Black Green Yellow Black\nOrange Black Yellow Black Black Black Yellow Black Black Black Black\nGreen Black Black Black Yellow Black Yellow Black Black Black Yellow\nBlack Black Orange Black Black Yellow Black Green Black Orange Yellow\nBlack Yellow Black Black Yellow Orange Yellow Yellow Yellow Yellow Black\nOrange Black Black Black Black Black Black Orange Black Black Black\n\nOutput:\nRed Black Black Orange Black Orange Red Red Black Black Black\nBlack Black Black Red Black Black Green Black Green Red Black\nOrange Black Red Black Black Black Red Black Black Black Black\nGreen Black Black Black Red Black Red Black Black Black Red\nBlack Black Orange Black Black Red Black Green Black Orange Red\nBlack Red Black Black Red Orange Red Red Red Red Black\nOrange Black Black Black Black Black Black Orange Black Black Black\n\n\nExample 2\nInput:\nBlack Black Orange Black Black Black Orange Black Black\nBlack Black Black Green Black Orange Black Orange Black\nBlack Black Black Black Orange Yellow Black Black Orange\nOrange Black Black Black Orange Black Black Orange Black\nOrange Orange Black Black Black Black Black Green Black\nOrange Black Orange Black Yellow Orange Black Orange Yellow\nGreen Orange Green Black Black Orange Black Orange Orange\nGreen Black Black Orange Black Black Orange Black Orange\nYellow Orange Black Orange Yellow Black Orange Black Black\n\nOutput:\nBlack Black Green Black Black Black Green Black Black\nBlack Black Black Green Black Green Black Green Black\nBlack Black Black Black Green Yellow Black Black Green\nGreen Black Black Black Green Black Black Green Black\nGreen Green Black Black Black Black Black Green Black\nGreen Black Green Black Yellow Green Black Green Yellow\nGreen Green Green Black Black Green Black Green Green\nGreen Black Black Green Black Black Green Black Green\nYellow Green Black Green Yellow Black Green Black Black\n\n\nExample 3\nInput:\nOrange Black Black Orange Black Green Black Green Black\nBlack Green Green Black Green Orange Black Black Black\nOrange Black Black Black Black Green Black Black Green\nOrange Black Orange Orange Black Orange Green Black Black\nOrange Green Orange Black Green Orange Yellow Black Black\nGreen Green Green Black Yellow Black Black Black Green\nBlack Black Black Black Black Black Black Black Green\nGreen Green Black Black Green Green Black Green Black\nGreen Black Black Green Orange Orange Black Black Black\nBlack Black Yellow Green Black Green Orange Black Green\nOrange Black Green Green Black Black Orange Yellow Black\nGreen Green Green Black Orange Orange Yellow Yellow Green\n\nOutput:\nOrange Black Black Orange Black Blue Black Blue Black\nBlack Blue Blue Black Blue Orange Black Black Black\nOrange Black Black Black Black Blue Black Black Blue\nOrange Black Orange Orange Black Orange Blue Black Black\nOrange Blue Orange Black Blue Orange Yellow Black Black\nBlue Blue Blue Black Yellow Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue\nBlue Blue Black Black Blue Blue Black Blue Black\nBlue Black Black Blue Orange Orange Black Black Black\nBlack Black Yellow Blue Black Blue Orange Black Blue\nOrange Black Blue Blue Black Black Orange Yellow Black\nBlue Blue Blue Black Orange Orange Yellow Yellow Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Green Black Black Black Green Black Black Black\nOrange Black Black Black Black Black Black Black Black Orange\nBlack Yellow Black Black Green Black Green Black Green Black\nGreen Green Green Black Yellow Black Orange Black Black Yellow\nYellow Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Green Black Green Black Black Black Black Black Black\nOrange Black Yellow Green Black Black Black Yellow Black Black\nBlack Green Black Black Black Yellow Green Black Green Black\nGreen Green Black Black Black Black Green Black Green Green\nBlack Black Yellow Black Yellow Orange Black Green Black Green\nBlack Black Black Black Yellow Green Black Black Green Black\nBlack Yellow Black Green Black Yellow Green Orange Black Black\nGreen Yellow Black Black Black Black Black Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Black Black Black Blue Black Black Black\nOrange Black Black Black Black Black Black Black Black Orange\nBlack Yellow Black Black Blue Black Blue Black Blue Black\nBlue Blue Blue Black Yellow Black Orange Black Black Yellow\nYellow Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black\nOrange Black Yellow Blue Black Black Black Yellow Black Black\nBlack Blue Black Black Black Yellow Blue Black Blue Black\nBlue Blue Black Black Black Black Blue Black Blue Blue\nBlack Black Yellow Black Yellow Orange Black Blue Black Blue\nBlack Black Black Black Yellow Blue Black Black Blue Black\nBlack Yellow Black Blue Black Yellow Blue Orange Black Black\nBlue Yellow Black Black Black Black Black Black Blue Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Red Red Red Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Red Red Red Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Red Red Red Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Brown Brown Brown Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Brown Brown Brown Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Brown Brown Brown Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Green Green Green Purple Purple Purple Pink Pink Pink Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Green Green Green Purple Purple Purple Pink Pink Pink Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Green Green Green Purple Purple Purple Pink Pink Pink Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nGray Gray Gray Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Brown Brown Brown Brown Brown Brown Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange Purple Purple Purple Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Green Green Green Orange Orange Orange Green Green Green Gray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange\nGray Gray Gray Pink Pink Pink Green Green Green Orange Orange Orange Green Green Green Gray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange\nGray Gray Gray Pink Pink Pink Green Green Green Orange Orange Orange Green Green Green Gray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange\nGray Gray Gray Pink Pink Pink Red Red Red Orange Orange Orange Green Green Green Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Gray Gray Gray\nGray Gray Gray Pink Pink Pink Red Red Red Orange Orange Orange Green Green Green Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Gray Gray Gray\nGray Gray Gray Pink Pink Pink Red Red Red Orange Orange Orange Green Green Green Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Gray Gray Gray\nGray Gray Gray Pink Pink Pink Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange\nGray Gray Gray Pink Pink Pink Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange\nGray Gray Gray Pink Pink Pink Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple Pink Pink Pink Purple Purple Purple Orange Orange Orange Orange Orange Orange\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Gray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Gray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Gray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Blue Blue Blue Brown Brown Brown Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Blue Blue Blue Brown Brown Brown Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Blue Blue Blue Brown Brown Brown Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Green Green Green Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Green Green Green Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Pink Pink Pink Orange Orange Orange Green Green Green Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Gray Gray Gray\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Gray Gray Gray\nGray Gray Gray Pink Pink Pink Purple Purple Purple Orange Orange Orange Green Green Green Red Red Red Pink Pink Pink Purple Purple Purple Orange Orange Orange Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Green Green Green Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Green Green Green Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Green Green Green Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Blue Blue Blue Gray Gray Gray\nYellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Blue Blue Blue Gray Gray Gray\nYellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Blue Blue Blue Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Red Red Red Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Red Red Red Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Red Red Red Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Red Red Red Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Red Red Red Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Red Red Red Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Pink Pink Pink Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Pink Pink Pink Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Pink Pink Pink Gray Gray Gray\n\nOutput:\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Green Green Green Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Green Green Green Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Purple Purple Purple Green Green Green Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Gray Gray Gray Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Gray Gray Gray Gray Gray Gray Brown Brown Brown Red Red Red\nBlue Blue Blue Purple Purple Purple Gray Gray Gray Brown Brown Brown Red Red Red Blue Blue Blue Gray Gray Gray Gray Gray Gray Brown Brown Brown 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\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 Green Black Green Black Black Black Black Black\nBlack Black Green Yellow Black Yellow Green Black Black Black Black\nBlack Black Blue Blue Black Gray Gray Black Black Black Black\nBlack Black Blue Green Yellow Green Gray Black Black Black Black\nBlack Black Gray Yellow Red Yellow Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Black\nBlack Black Green Yellow Black Yellow Green Black Black Black Black\nBlack Black Blue Blue Black Green Green Black Black Black Black\nBlack Black Blue Green Yellow Green Green Black Black Black Black\nBlack Black Green Yellow Red Yellow Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Red Green Gray Black Black Black\nBlack Gray Yellow Green Black Black Black\nBlack Blue Red Red Green Blue Black\nBlack Red Blue Red Yellow Green Black\nBlack Yellow Gray Gray Red Gray Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Red Green Red Black Black Black\nBlack Red Yellow Green Black Black Black\nBlack Blue Red Red Green Blue Black\nBlack Red Blue Red Yellow Green Black\nBlack Yellow Red Red Red Red Black\nBlack 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 Gray Green Black Yellow Black Black Black Black Black\nBlack Black Blue Green Green Green Yellow Black Black Black Black Black\nBlack Black Gray Red Red Black Gray Black Black Black Black Black\nBlack Black Blue Green Green Green Yellow Black Black Black Black Black\nBlack Black Black Red Green 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\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 Green Green Black Yellow Black Black Black Black Black\nBlack Black Blue Green Green Green Yellow Black Black Black Black Black\nBlack Black Green Red Red Black Green Black Black Black Black Black\nBlack Black Blue Green Green Green Yellow Black Black Black Black Black\nBlack Black Black Red Green 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\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 Blue Yellow Gray Red Black Black Black Black Black Black Black Black\nBlack Black Blue Yellow Blue Black Red Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Blue Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Blue Blue 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 Blue Yellow Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Blue Yellow Blue Black Red Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Blue Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Orange Yellow Red Green Brown Yellow Yellow\nBrown Purple Brown Yellow Red Red Blue Pink Pink\nBrown Red Brown Orange Brown Brown Red Pink Pink\nBrown Red Pink Brown Brown Brown Red Pink Purple\nBlue Red Brown Green Green Gray Red Purple Purple\nRed Red Brown Orange Green Gray Gray Purple Purple\nPurple Gray Pink Yellow Yellow Gray Red Yellow Orange\n\nOutput:\nPurple Pink Pink Blue Blue Pink Red Blue Orange\nRed Red Purple Orange Red Pink Pink Purple Purple\nBlue Red Purple Red Red Pink Red Purple Purple\nPurple Red Pink Purple Purple Purple Red Pink Purple\nPurple Red Purple Orange Purple Purple Red Pink Pink\nPurple Purple Purple Blue Red Red Blue Pink Pink\nPurple Purple Orange Blue Red Red Purple Blue Blue\n\n\nExample 2\nInput:\nPink Green Green Red Purple Gray\nBrown Green Green Purple Purple Purple\nBrown Brown Green Green Orange Yellow\nBrown Orange Green Green Purple Yellow\nRed Green Gray Green Purple Purple\nRed Purple Red Green Purple Brown\nBlue Purple Blue Green Gray Blue\nGray Purple Orange Gray Gray Red\nGreen Pink Blue Green Gray Gray\n\nOutput:\nRed Pink Blue Red Pink Pink\nPink Purple Orange Pink Pink Red\nBlue Purple Blue Red Pink Blue\nRed Purple Red Red Purple Purple\nRed Red Pink Red Purple Purple\nPurple Orange Red Red Purple Blue\nPurple Purple Red Red Orange Blue\nPurple Red Red Purple Purple Purple\nPink Red Red Red Purple Pink\n\n\nExample 3\nInput:\nBrown Blue Green Blue Yellow Green\nBrown Blue Green Green Green Green\nRed Green Purple Pink Orange Green\nRed Blue Purple Blue Purple Orange\nYellow Red Red Blue Brown Brown\nBlue Brown Pink Brown Brown Purple\nBlue Green Brown Brown Orange Orange\nGray Gray Gray Blue Blue Orange\n\nOutput:\nPink Pink Pink Blue Blue Orange\nBlue Red Purple Purple Orange Orange\nBlue Purple Pink Purple Purple Purple\nBlue Red Red Blue Purple Purple\nRed Blue Purple Blue Purple Orange\nRed Red Purple Pink Orange Red\nPurple Blue Red Red Red Red\nPurple Blue Red Blue Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Gray Purple Purple Purple Purple Yellow Pink\nBlue Blue Pink Yellow Purple Yellow Yellow Green\nRed Red Pink Green Green Yellow Gray Purple\nRed Pink Pink Brown Green Yellow Gray Red\nGreen Green Gray Brown Brown Brown Pink Pink\nPink Brown Orange Brown Purple Purple Pink Pink\nPink Brown Green Green Gray Pink Pink Pink\nYellow Yellow Brown Gray Red Pink Pink Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Purple Pink Red Pink Pink Purple\nPink Purple Red Red Pink Pink Pink Pink\nPink Purple Orange Purple Purple Purple Pink Pink\nRed Red Pink Purple Purple Purple Pink Pink\nRed Pink Pink Purple Red Blue Pink Red\nRed Red Pink Red Red Blue Pink Purple\nBlue Blue Pink Blue Purple Blue Blue Red\nBlue Pink Purple Purple Purple Purple Blue Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Green Green Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Black Black Green Green Black Black Black Black\nBlack Green Black Black Black Green 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\n\n\nExample 2\nInput:\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 Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red Red Black\nYellow Yellow Yellow Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Black Black\n\nOutput:\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 Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Green Black\nGreen Green Green Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nRed Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Red Red Black Blue Black Black Yellow\nBlack Black Black Red Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Green Green Black Blue Black Black Green\nBlack Black Black Green Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Yellow Yellow Black Black Red Black\nBlack Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Green Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Green 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\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow 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 Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green 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 Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black 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 Green Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Black Gray Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Black Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Purple Purple Brown Brown Orange Orange Orange\nBlack Purple Purple Brown Brown Orange Orange Orange\nBlack Purple Purple Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Purple Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nGreen Green Green Black Black Gray Gray\nGreen Green Green Black Black Gray Gray\nGreen Green Green Black Black Gray Gray\nBlack Green Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Green Black Black Black Black Black\n\nOutput:\nBlack Purple Black Black Black Black Black\nBlack Purple Black Black Black Black Black\nBlack Purple Black Black Black Black Black\nPurple Purple Purple Black Black Purple Purple\nPurple Purple Purple Black Black Purple Purple\nPurple Purple Purple Black Black Purple Purple\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Black Orange Orange\nBlack Black Black Black Black Orange Orange\nGray Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nPurple Black Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple\nBlack Purple Purple Purple Black Purple Purple\nBlack Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black\nBlack Purple Purple 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 Purple Black Black\nBlack Black Black Black Black Black Purple Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black\nPurple Purple Black Black Black Purple Purple Black Black\nPurple Purple Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black\nBlack Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Purple Purple Black Black Purple Purple\nBlack Purple Purple Black Black Purple Purple\nBlack 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 Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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 Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 Brown Brown Black Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Brown Black Black Black Black\nBlack Black Black Brown Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Black Black Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Green Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Black Black Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Black Black Black Black Black Black Green 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 Gray Gray Black Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Gray Black Black\nBlack Black Black Black Black Gray Gray Black Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Gray Black Gray Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Black 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 Gray Gray Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Black 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\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 Red Black Red Red Red Black Red Red Black Black Black Black Black\nRed Red Red Red Black Red Red Red Red Black Black Black Black Black\nRed Red Red Black Red Black Black Red Red Black Black Black Black Black\nRed Black Red Red Red Red Red Black Red Black Black Black Black Black\nBlack Red Red Red Red Black Red Black Red Black Black Black Black Black\nRed Red Red Red Black Red Red 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\nRed Red Black Red Red Red Black Red Red Black Black Black Black Black\nRed Red Red Red Black Red Red Red Red Black Black Black Black Black\nRed Red Red Black Red Black Red Red Red Black Black Black Black Black\nRed Black Red Red Red Red Red Black Red Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black\nRed Red Red Red Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow 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 Blue Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nYellow Yellow Black Yellow Black Yellow Blue Black\nBlack Black Black Blue Blue Black Black Black\nBlack Black Yellow Blue Blue Black Black Yellow\nBlack Yellow Black Black Black Black Black Blue\nYellow Yellow Black Black Black Blue Yellow Blue\nBlack Black Blue Blue Black Yellow Yellow Black\n\nOutput:\nBlack Blue Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black\nPurple Purple Black Purple Black Purple Blue Black\nBlack Black Black Blue Blue Black Black Black\nBlack Black Purple Blue Blue Black Black Purple\nPurple Purple Black Black Black Black Black Blue\nPurple Purple Black Black Black Purple Purple Blue\nBlack Black Blue Blue Black Purple Purple Black\n\n\nExample 2\nInput:\nBlue Black Black Yellow Black Blue Black\nBlack Black Yellow Black Black Black Black\nYellow Blue Black Black Blue Yellow Blue\nBlue Black Yellow Black Black Black Blue\nBlack Black Black Black Black Yellow Yellow\nBlue Black Black Black Black Blue Yellow\nBlue Black Yellow Blue Black Black Black\n\nOutput:\nBlue Black Black Purple Black Blue Black\nBlack Black Purple Black Black Black Black\nPurple Blue Black Black Blue Purple Blue\nBlue Black Purple Black Black Black Blue\nBlack Black Black Black Black Purple Purple\nBlue Black Black Black Black Purple Purple\nBlue Black Purple Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Yellow Yellow Black Yellow Yellow Blue\nBlack Black Black Black Blue Black Black\nBlack Black Blue Blue Black Black Black\nYellow Black Black Black Black Yellow Blue\nBlack Black Black Blue Blue Black Black\nBlack Blue Yellow Black Black Blue Yellow\nBlack Yellow Black Blue Black Yellow Yellow\nBlack Yellow Blue Black Black Black Black\nBlack Yellow Yellow Black Black Yellow Black\n\nOutput:\nBlack Purple Purple Black Purple Purple Blue\nBlack Black Black Black Blue Black Black\nBlack Black Blue Blue Black Black Black\nPurple Black Black Black Black Purple Blue\nBlack Black Black Blue Blue Black Black\nBlack Blue Purple Black Black Purple Purple\nBlack Purple Purple Blue Black Purple Purple\nBlack Purple Purple Black Black Black Black\nBlack Purple Purple Black Black Purple Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Yellow Black Blue Blue Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Blue Blue Black Black Black Black Blue\nYellow Black Yellow Black Black Black Black Black Black\nBlue Black Black Blue Yellow Blue Blue Black Blue\nBlack Black Yellow Black Black Black Black Black Black\nYellow Black Black Blue Blue Blue Black Black Yellow\nBlack Black Black Black Yellow Black Black Blue Black\nBlue Blue Blue Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Purple Black Blue Blue Purple Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\nPurple Purple Blue Blue Black Black Black Black Blue\nPurple Purple Purple Black Black Black Black Black Black\nBlue Black Black Blue Purple Blue Blue Black Blue\nBlack Black Purple Black Black Black Black Black Black\nPurple Black Black Blue Blue Blue Black Black Purple\nBlack Black Black Black Purple Black Black Blue Black\nBlue 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 Blue Brown Black Black Black Black\nPurple Black Black Gray Black Black Black Black Purple Black Black Black Black\nPurple Black Purple Black Black Black Orange Green Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Pink\nBlack Black Black Brown Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Pink Gray Blue Brown Orange Pink\nGreen Black Black Black Black Black Red Black Blue Black Black Black Brown\nRed Black Black Black Blue Black Black Black Black Black Purple Black Black\nBlack Orange Black Gray Black Pink Black Black Black Black Black Black Black\nYellow Black Black Black Pink Black Black Gray Red Pink Black Black Yellow\nBlack Orange Black Black Black Black Black Yellow Black Black Black Black Orange\nBlack Black Green Green Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nYellow Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nYellow Black Yellow Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Yellow\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Black Black Yellow Black Black Black Black Black Yellow Black Black\nBlack Yellow Black Yellow Black Yellow Black Black Black Black Black Black Black\nYellow Black Black Black Yellow Black Black Yellow Yellow Yellow Black Black Yellow\nBlack Yellow Black Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Black Black Red Black Black Black Black Black Black Black Purple\nBlack Black Pink Black Orange Purple Pink Yellow Black Black Black Black\nBlack Black Red Black Black Black Red Black Black Black Green Purple\nBlack Black Black Black Black Black Blue Black Black Yellow Black Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black\nYellow Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Blue Black Black Black Black Brown Black\nBlack Gray Black Pink Purple Black Black Pink Purple Black Gray Black\nBlack Green Black Black Black Black Pink Gray Black Blue Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Gray Blue Black Black Purple Black Purple\n\nOutput:\nYellow Black Black Yellow Black Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Yellow Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black\nYellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Black Yellow Black\nBlack Yellow Black Yellow Yellow Black Black Yellow Yellow Black Yellow Black\nBlack Yellow Black Black Black Black Yellow Yellow Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Yellow Black Yellow\n\n\nExample 3\nInput:\nBrown Black Yellow Black Black Black Green Orange Black Black Gray Purple\nBlack Black Black Black Black Black Black Black Black Black Green Black\nYellow Black Black Black Black Black Black Black Black Black Purple Black\nBlack Pink Black Black Black Black Brown Orange Yellow Blue Orange Purple\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Green Black Brown Black Black\nPurple Black Gray Black Black Gray Black Black Black Black Black Black\nBlack Black Black Red Black Black Red Red Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Pink\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nGreen Black Gray Black Brown Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Black Yellow Brown Black Black Black Brown Black Green Black Yellow\nBlack Black Black Black Pink Black Black Orange Black Black Red Black\n\nOutput:\nYellow Black Yellow Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nYellow Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Yellow Black Black\nYellow Black Yellow Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Black Yellow Black Yellow Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Yellow Black Black Black Yellow Black Yellow Black Yellow\nBlack Black Black Black Yellow Black Black Yellow Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nPink Black Black Black Purple Black Brown Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Purple Black Brown Black\nOrange Gray Black Black Black Black Black Blue Black Orange Black Black Gray Black\nBlack Black Black Black Black Pink Purple Black Orange Gray Black Black Brown Black\nGray Black Brown Black Black Purple Black Black Black Black Black Black Black Gray\nOrange Black Red Black Red Black Black Black Black Pink Purple Black Black Pink\nBlack Orange Black Green Orange Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Brown Black Yellow Black Black\nBlack Black Red Black Black Gray Black Black Black Brown Yellow Black Black Pink\nBlack Pink Black Black Black Black Black Black Yellow Black Black Black Black Pink\nBlack Black Black Black Brown Black Black Black Brown Black Black Black Blue Brown\nBlack Black Black Black Purple Green Pink Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black\nYellow Yellow Black Black Black Black Black Yellow Black Yellow Black Black Yellow Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Yellow Black\nYellow Black Yellow Black Black Yellow Black Black Black Black Black Black Black Yellow\nYellow Black Yellow Black Yellow Black Black Black Black Yellow Yellow Black Black Yellow\nBlack Yellow Black Yellow Yellow Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Yellow Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Yellow Yellow Black Black Yellow\nBlack Yellow Black Black Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Blue Black Blue Black Black\nBlack Blue Black Blue Black Black\nBlack Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGreen Green Green Green Black Black\nGreen Green Black Black Black Black\nGreen Green Green Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Black Blue Black\nBlack Black Blue Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nGreen Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Green Green Black Black Black\nBlack Green Green Green Black Black Black\nBlack Black Black Green Green Black Black\nBlack Black Black Green Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Blue Blue Black\nBlack Black Blue Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Black Black Black\nBlack Green Black Black\nGreen Green Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Green Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue\nRed Red Red Green Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue\nRed Red Red Green Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple Purple Purple Green Green Green Blue Blue Blue\nOrange Orange Orange Red Red Red Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Orange Orange Orange Green Green Green\nOrange Orange Orange Red Red Red Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Orange Orange Orange Green Green Green\nOrange Orange Orange Red Red Red Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Orange Orange Orange Green Green Green\nPurple Purple Purple Blue Blue Blue Green Green Green Pink Pink Pink Green Green Green Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Green Green Green Pink Pink Pink Green Green Green Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Green Green Green Pink Pink Pink Green Green Green Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple\nPink Pink Pink Brown Brown Brown Orange Orange Orange Purple Purple Purple Blue Blue Blue Purple Purple Purple Pink Pink Pink Orange Orange Orange\nPink Pink Pink Brown Brown Brown Orange Orange Orange Purple Purple Purple Blue Blue Blue Purple Purple Purple Pink Pink Pink Orange Orange Orange\nPink Pink Pink Brown Brown Brown Orange Orange Orange Purple Purple Purple Blue Blue Blue Purple Purple Purple Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Red Red Red Purple Purple Purple Orange Orange Orange Red Red Red Blue Blue Blue Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Red Red Red Purple Purple Purple Orange Orange Orange Red Red Red Blue Blue Blue Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Red Red Red Purple Purple Purple Orange Orange Orange Red Red Red Blue Blue Blue Orange Orange Orange Pink Pink Pink\nBrown Brown Brown Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Red Red Red Red Red Red Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Red Red Red Red Red Red Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Red Red Red Red Red Red Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown Green Green Green\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown Green Green Green\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown Green Green Green\nGreen Green Green Green Green Green Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nGreen Green Green Green Green Green Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nGreen Green Green Green Green Green Purple Purple Purple Green Green Green Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\n\nOutput:\nGreen Green Green Red Red Red Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red Yellow Yellow Yellow\nGreen Green Green Red Red Red Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red Yellow Yellow Yellow\nGreen Green Green Red Red Red Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red Yellow Yellow Yellow\nBrown Brown Brown Green Green Green Orange Orange Orange Purple Purple Purple Red Red Red Pink Pink Pink Brown Brown Brown Red Red Red\nBrown Brown Brown Green Green Green Orange Orange Orange Purple Purple Purple Red Red Red Pink Pink Pink Brown Brown Brown Red Red Red\nBrown Brown Brown Green Green Green Orange Orange Orange Purple Purple Purple Red Red Red Pink Pink Pink Brown Brown Brown Red Red Red\nPink Pink Pink Yellow Yellow Yellow Red Red Red Purple Purple Purple Red Red Red Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Red Red Red Purple Purple Purple Red Red Red Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Red Red Red Purple Purple Purple Red Red Red Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Orange Orange Orange Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Orange Orange Orange Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Orange Orange Orange Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Green Green Green Pink Pink Pink Brown Brown Brown Green Green Green Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Green Green Green Pink Pink Pink Brown Brown Brown Green Green Green Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Green Green Green Pink Pink Pink Brown Brown Brown Green Green Green Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nOrange Orange Orange Pink Pink Pink Blue Blue Blue Purple Purple Purple Orange Orange Orange Green Green Green Green Green Green Pink Pink Pink\nOrange Orange Orange Pink Pink Pink Blue Blue Blue Purple Purple Purple Orange Orange Orange Green Green Green Green Green Green Pink Pink Pink\nOrange Orange Orange Pink Pink Pink Blue Blue Blue Purple Purple Purple Orange Orange Orange Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Red Red Red\nPink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Red Red Red\nPink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Pink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink Orange Orange Orange Blue Blue Blue\nRed Red Red Red Red Red Pink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink Orange Orange Orange Blue Blue Blue\nRed Red Red Red Red Red Pink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink Orange Orange Orange Blue Blue Blue\n\n\nExample 2\nInput:\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Green Green Green Orange Orange Orange\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Green Green Green Orange Orange Orange\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Pink Pink Pink Red Red Red Pink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Red Red Red Pink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Red Red Red Pink Pink Pink Purple Purple Purple Red Red Red Blue Blue Blue\nOrange Orange Orange Red Red Red Brown Brown Brown Blue Blue Blue Brown Brown Brown Pink Pink Pink Blue Blue Blue\nOrange Orange Orange Red Red Red Brown Brown Brown Blue Blue Blue Brown Brown Brown Pink Pink Pink Blue Blue Blue\nOrange Orange Orange Red Red Red Brown Brown Brown Blue Blue Blue Brown Brown Brown Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nPink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nPink Pink Pink Blue Blue Blue Green Green Green Purple Purple Purple Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Purple Purple Purple Blue Blue Blue Orange Orange Orange Green Green Green Green Green Green Green Green Green\nRed Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow Purple Purple Purple\n\nOutput:\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red Green Green Green Red Red Red Brown Brown Brown\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red Green Green Green Red Red Red Brown Brown Brown\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Red Red Red Green Green Green Red Red Red Brown Brown Brown\nYellow Yellow Yellow Purple Purple Purple Green Green Green Purple Purple Purple Pink Pink Pink Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Green Green Green Purple Purple Purple Pink Pink Pink Green Green Green Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Green Green Green Purple Purple Purple Pink Pink Pink Green Green Green Yellow Yellow Yellow\nBrown Brown Brown Green Green Green Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow\nBrown Brown Brown Green Green Green Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow\nBrown Brown Brown Green Green Green Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow\nPurple Purple Purple Yellow Yellow Yellow Red Red Red Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Yellow Yellow Yellow Red Red Red Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Yellow Yellow Yellow Red Red Red Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink\nYellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Red Red Red Red Red Red Red Red Red\nGreen Green Green Blue Blue Blue Pink Pink Pink Red Red Red Red Red Red Blue Blue Blue Pink Pink Pink\nGreen Green Green Blue Blue Blue Pink Pink Pink Red Red Red Red Red Red Blue Blue Blue Pink Pink Pink\nGreen Green Green Blue Blue Blue Pink Pink Pink Red Red Red Red Red Red Blue Blue Blue Pink Pink Pink\n\n\nExample 3\nInput:\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Red Red Red\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Red Red Red\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Green Green Green Orange Orange Orange Red Red Red Orange Orange Orange Red Red Red\nPink Pink Pink Green Green Green Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple Pink Pink Pink\nPink Pink Pink Green Green Green Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple Pink Pink Pink\nPink Pink Pink Green Green Green Blue Blue Blue Purple Purple Purple Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple Pink Pink Pink\nOrange Orange Orange Red Red Red Red Red Red Blue Blue Blue Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Green Green Green\nOrange Orange Orange Red Red Red Red Red Red Blue Blue Blue Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Green Green Green\nOrange Orange Orange Red Red Red Red Red Red Blue Blue Blue Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Green Green Green\nGreen Green Green Pink Pink Pink Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Orange Orange Orange Blue Blue Blue\nGreen Green Green Pink Pink Pink Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Orange Orange Orange Blue Blue Blue\nGreen Green Green Pink Pink Pink Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Orange Orange Orange Blue Blue Blue\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Red Red Red Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Orange Orange Orange\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Red Red Red Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Orange Orange Orange\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Red Red Red Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Red Red Red Red Red Red Purple Purple Purple Orange Orange Orange Purple Purple Purple Pink Pink Pink Brown Brown Brown Orange Orange Orange\nYellow Yellow Yellow Orange Orange Orange Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Purple Purple Purple Brown Brown Brown Pink Pink Pink Red Red Red Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Green Green Green Brown Brown Brown Green Green Green\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Green Green Green Brown Brown Brown Green Green Green\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Green Green Green Brown Brown Brown Green Green Green\nPurple Purple Purple Red Red Red Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Brown Brown Brown Orange Orange Orange Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Red Red Red Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Brown Brown Brown Orange Orange Orange Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Red Red Red Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Brown Brown Brown Orange Orange Orange Pink Pink Pink Purple Purple Purple\nBrown Brown Brown Green Green Green Green Green Green Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue Pink Pink Pink Red Red Red\nBrown Brown Brown Green Green Green Green Green Green Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue Pink Pink Pink Red Red Red\nBrown Brown Brown Green Green Green Green Green Green Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue Pink Pink Pink Red Red Red\nRed Red Red Purple Purple Purple Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Pink Pink Pink Blue Blue Blue Purple Purple Purple Green Green Green Blue Blue Blue Brown Brown Brown Orange Orange Orange Brown Brown Brown\nRed Red Red Pink Pink Pink Blue Blue Blue Purple Purple Purple Green Green Green Blue Blue Blue Brown Brown Brown Orange Orange Orange Brown Brown Brown\nRed Red Red Pink Pink Pink Blue Blue Blue Purple Purple Purple Green Green Green Blue Blue Blue Brown Brown Brown Orange Orange Orange Brown Brown Brown\nBlue Blue Blue Green Green Green Green Green Green Pink Pink Pink Brown Brown Brown Pink Pink Pink Purple Purple Purple Orange Orange Orange Brown Brown Brown\nBlue Blue Blue Green Green Green Green Green Green Pink Pink Pink Brown Brown Brown Pink Pink Pink Purple Purple Purple Orange Orange Orange Brown Brown Brown\nBlue Blue Blue Green Green Green Green Green Green Pink Pink Pink Brown Brown Brown Pink Pink Pink Purple Purple Purple Orange Orange Orange Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Pink Pink Pink Orange Orange Orange Purple Purple Purple Green Green Green Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Pink Pink Pink Orange Orange Orange Purple Purple Purple Green Green Green Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue\nBlue Blue Blue Brown Brown Brown Pink Pink Pink Orange Orange Orange Purple Purple Purple Green Green Green Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Red Red Red Pink Pink Pink Green Green Green Orange Orange Orange Brown Brown Brown Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Red Red Red Pink Pink Pink Green Green Green Orange Orange Orange Brown Brown Brown Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Red Red Red Pink Pink Pink Green Green Green Orange Orange Orange Brown Brown Brown Blue Blue Blue\nPink Pink Pink Yellow Yellow Yellow Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Brown Brown Brown Orange Orange Orange\nPink Pink Pink Yellow Yellow Yellow Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Brown Brown Brown Orange Orange Orange\nPink Pink Pink Yellow Yellow Yellow Green Green Green Blue Blue Blue Blue Blue Blue Orange Orange Orange Pink Pink Pink Brown Brown Brown Orange Orange Orange\nPink Pink Pink Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPink Pink Pink Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Purple Purple Purple Orange Orange Orange\nPink Pink Pink Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Green Green Green Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Green Green Green Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Blue Blue Blue Green Green Green Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Blue Blue Blue Red Red Red\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Blue Blue Blue Red Red Red\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Red Red Red Yellow Yellow Yellow Brown Brown Brown Pink Pink Pink Blue Blue Blue Red Red Red\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Green Green Green Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Green Green Green Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Green Green Green Pink Pink Pink Purple Purple Purple\nRed Red Red Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green\nRed Red Red Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green\nRed Red Red Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Green Green Green Blue Blue Blue Brown Brown Brown Green Green Green\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow Red Red Red\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow Red Red Red\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow 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```\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Green Green Green Purple Purple Purple Red Red Red Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Green Green Green Purple Purple Purple Red Red Red Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Green Green Green Purple Purple Purple Red Red Red Brown Brown Brown Orange Orange Orange Yellow Yellow Yellow\nPurple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Orange Orange Orange Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Orange Orange Orange Brown Brown Brown\nPurple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Orange Orange Orange Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Pink Pink Pink Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Pink Pink Pink Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Red Red Red Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Red Red Red Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Red Red Red Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Brown Brown Brown Green Green Green Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Green Green Green\nPink Pink Pink Pink Pink Pink Brown Brown Brown Green Green Green Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Green Green Green\nPink Pink Pink Pink Pink Pink Brown Brown Brown Green Green Green Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Green Green Green\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Orange Orange Orange Orange Orange Orange\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Orange Orange Orange Pink Pink Pink Red Red Red Purple Purple Purple Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Orange Orange Orange Pink Pink Pink Red Red Red Purple Purple Purple Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Orange Orange Orange Pink Pink Pink Red Red Red Purple Purple Purple Pink Pink Pink\nGreen Green Green Brown Brown Brown Purple Purple Purple Red Red Red Purple Purple Purple Red Red Red Yellow Yellow Yellow Orange Orange Orange Red Red Red\nGreen Green Green Brown Brown Brown Purple Purple Purple Red Red Red Purple Purple Purple Red Red Red Yellow Yellow Yellow Orange Orange Orange Red Red Red\nGreen Green Green Brown Brown Brown Purple Purple Purple Red Red Red Purple Purple Purple Red Red Red Yellow Yellow Yellow Orange Orange Orange Red Red Red\nPink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Green Green Green\nPink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue Green Green Green\nPink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Blue Blue Blue 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 Yellow Black\nBlack Black Black Black Black Black Yellow\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\nRed Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Yellow Red\nRed Red Red Red Red Red Yellow\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\nRed Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Brown Black\nBlack Black Black Black Black Brown Brown\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\nGreen Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Brown Green\nGreen Green Green Green Green Brown Brown\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Brown 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\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Black Yellow\nBlack Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Pink Black Pink\nBlack Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink 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 Black Black Black Black\nBlack Black Brown Black Black Black Black\nBlack Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Blue Black\nBlack Black Black Black Blue Black\nBlack 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Blue Black Black\nBlack Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Blue Blue Blue 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\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red 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\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red 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 Black Black Black\nBlack Blue Blue Blue Black Black Black Black Red Red Red 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 Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green 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 Black Black Black Black\nBlack Red Red Red Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Blue Blue Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Blue Blue Blue Red Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Black Blue Black\nBlack Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Green Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Black Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Black\nBlack Blue Black Blue Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Green Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black\nBlack Blue Black Blue Black Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Orange Black Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Blue Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange 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 Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Black Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Blue Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Black Red Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Black Black Black Purple Black Black\nBlack Black Purple Purple Black Purple Purple Black Black\nBlack Black Purple Purple Black Purple Purple Black Black\nBlack Black Purple Purple Red Purple Purple Black Black\nBlack Black Purple Purple Black Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Black Purple Purple 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 Purple Purple Purple Black Black Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Black Blue Purple Black Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple 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 Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Black Purple Purple Purple Black\nBlack Black Purple Purple Purple Blue Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Black Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Red Black Gray\nOrange Black Yellow Black Black\nBlack Purple Black Orange Black\nYellow Green Blue Black Black\nOrange Purple Orange Green Black\nBlack Green Black Black Black\nBlack Black Black Black Pink\n\nOutput:\nBrown Brown Brown Brown Green Green Brown Brown Pink Pink\nBrown Brown Brown Brown Green Green Brown Brown Pink Pink\nPurple Purple Brown Brown Blue Blue Brown Brown Brown Brown\nPurple Purple Brown Brown Blue Blue Brown Brown Brown Brown\nBrown Brown Orange Orange Brown Brown Purple Purple Brown Brown\nBrown Brown Orange Orange Brown Brown Purple Purple Brown Brown\nBlue Blue Red Red Yellow Yellow Brown Brown Brown Brown\nBlue Blue Red Red Yellow Yellow Brown Brown Brown Brown\nPurple Purple Orange Orange Purple Purple Red Red Brown Brown\nPurple Purple Orange Orange Purple Purple Red Red Brown Brown\nBrown Brown Red Red Brown Brown Brown Brown Brown Brown\nBrown Brown Red Red Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Gray Gray\n\n\nExample 2\nInput:\nBlack Black Purple Green Brown Red\nBlack Purple Blue Black Brown Black\nBlack Blue Orange Orange Black Red\nPink Black Black Pink Black Black\nGray Blue Black Purple Brown Black\n\nOutput:\nBrown Brown Brown Brown Orange Orange Red Red Black Black Green Green\nBrown Brown Brown Brown Orange Orange Red Red Black Black Green Green\nBrown Brown Orange Orange Yellow Yellow Brown Brown Black Black Brown Brown\nBrown Brown Orange Orange Yellow Yellow Brown Brown Black Black Brown Brown\nBrown Brown Yellow Yellow Purple Purple Purple Purple Brown Brown Green Green\nBrown Brown Yellow Yellow Purple Purple Purple Purple Brown Brown Green Green\nGray Gray Brown Brown Brown Brown Gray Gray Brown Brown Brown Brown\nGray Gray Brown Brown Brown Brown Gray Gray Brown Brown Brown Brown\nPink Pink Yellow Yellow Brown Brown Orange Orange Black Black Brown Brown\nPink Pink Yellow Yellow Brown Brown Orange Orange Black Black Brown Brown\n\n\nExample 3\nInput:\nBlack Orange Black Black Black Gray\nBlack Black Black Gray Purple Pink\nBlack Black Black Orange Green Blue\nYellow Black Brown Black Yellow Black\nBlue Blue Brown Gray Black Red\nBrown Black Black Brown Black Black\n\nOutput:\nBrown Brown Purple Purple Brown Brown Brown Brown Brown Brown Pink Pink\nBrown Brown Purple Purple Brown Brown Brown Brown Brown Brown Pink Pink\nBrown Brown Brown Brown Brown Brown Pink Pink Orange Orange Gray Gray\nBrown Brown Brown Brown Brown Brown Pink Pink Orange Orange Gray Gray\nBrown Brown Brown Brown Brown Brown Purple Purple Red Red Yellow Yellow\nBrown Brown Brown Brown Brown Brown Purple Purple Red Red Yellow Yellow\nBlue Blue Brown Brown Black Black Brown Brown Blue Blue Brown Brown\nBlue Blue Brown Brown Black Black Brown Brown Blue Blue Brown Brown\nYellow Yellow Yellow Yellow Black Black Pink Pink Brown Brown Green Green\nYellow Yellow Yellow Yellow Black Black Pink Pink Brown Brown Green Green\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Purple Black Black\nPink Black Gray Black\nBlack Orange Black Black\nYellow Black Blue Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Orange Orange Brown Brown Brown Brown\nBrown Brown Orange Orange Brown Brown Brown Brown\nGray Gray Brown Brown Pink Pink Brown Brown\nGray Gray Brown Brown Pink Pink Brown Brown\nBrown Brown Purple Purple Brown Brown Brown Brown\nBrown Brown Purple Purple Brown Brown Brown Brown\nBlue Blue Brown Brown Yellow Yellow Pink Pink\nBlue Blue Brown Brown Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nBlue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple\nBlue Blue Pink Pink Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Purple Purple\nPurple Purple Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink\nPurple Purple Blue Blue Brown Brown Gray Gray Purple Purple Pink Pink Pink Pink\nGray Gray Purple Purple Orange Orange Green Green Yellow Yellow Yellow Yellow Orange Orange\nGray Gray Purple Purple Orange Orange Green Green Yellow Yellow Yellow Yellow Orange Orange\nBrown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow Purple Purple Green Green\nBrown Brown Purple Purple Brown Brown Gray Gray Yellow Yellow Purple Purple Green Green\nGreen Green Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange\nGreen Green Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange\nOrange Orange Red Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray\nOrange Orange Red Red Purple Purple Yellow Yellow Orange Orange Purple Purple Gray Gray\nPink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown Orange Orange\nPink Pink Blue Blue Orange Orange Gray Gray Orange Orange Brown Brown Orange Orange\nOrange Orange Green Green Green Green Brown Brown Orange Orange Pink Pink Gray Gray\nOrange Orange Green Green Green Green Brown Brown Orange Orange Pink Pink Gray Gray\nPurple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\nPurple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange Purple Purple\n\nOutput:\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\n\n\nExample 2\nInput:\nPink Pink Red Red Orange Orange Pink Pink Purple Purple Yellow Yellow Gray Gray Pink Pink Gray Gray\nPink Pink Red Red Orange Orange Pink Pink Purple Purple Yellow Yellow Gray Gray Pink Pink Gray Gray\nPurple Purple Red Red Purple Purple Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange\nPurple Purple Red Red Purple Purple Blue Blue Pink Pink Red Red Green Green Blue Blue Orange Orange\nPink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Green Green\nPink Pink Purple Purple Purple Purple Blue Blue Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Green Green\nGreen Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Purple Purple\nGreen Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Purple Purple\nPurple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue Brown Brown Orange Orange\nPurple Purple Brown Brown Brown Brown Gray Gray Brown Brown Purple Purple Blue Blue Brown Brown Orange Orange\nRed Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\nRed Red Gray Gray Blue Blue Pink Pink Green Green Red Red Blue Blue Yellow Yellow Orange Orange\n\nOutput:\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\n\n\nExample 3\nInput:\nGreen Green Brown Brown Red Red Purple Purple Orange Orange Purple Purple Blue Blue Blue Blue\nGreen Green Brown Brown Red Red Purple Purple Orange Orange Purple Purple Blue Blue Blue Blue\nGray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown\nGray Gray Green Green Gray Gray Blue Blue Pink Pink Brown Brown Yellow Yellow Brown Brown\nPurple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red\nPurple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink Yellow Yellow Red Red\nGray Gray Orange Orange Green Green Brown Brown Blue Blue Blue Blue Purple Purple Green Green\nGray Gray Orange Orange Green Green Brown Brown Blue Blue Blue Blue Purple Purple Green Green\nOrange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray Orange Orange Pink Pink\nOrange Orange Yellow Yellow Purple Purple Blue Blue Pink Pink Gray Gray Orange Orange Pink Pink\nPurple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\nPurple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown\n\nOutput:\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Orange Orange\nGray Gray Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Brown Brown Orange Orange\nBrown Brown Purple Purple Purple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple\nBrown Brown Purple Purple Purple Purple Red Red Green Green Blue Blue Yellow Yellow Purple Purple\nPurple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink Red Red Orange Orange\nPurple Purple Orange Orange Brown Brown Green Green Green Green Pink Pink Red Red Orange Orange\nGray Gray Green Green Purple Purple Yellow Yellow Orange Orange Blue Blue Orange Orange Purple Purple\nGray Gray Green Green Purple Purple Yellow Yellow Orange Orange Blue Blue Orange Orange Purple Purple\nRed Red Brown Brown Pink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange\nRed Red Brown Brown Pink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange\nOrange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink Pink Pink Pink Pink\nOrange Orange Blue Blue Yellow Yellow Brown Brown Purple Purple Pink Pink Pink Pink Pink Pink\nOrange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nOrange Orange Brown Brown Brown Brown Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nBlue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\nBlue Blue Brown Brown Gray Gray Brown Brown Pink Pink Green Green Gray Gray Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nBlue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nGreen Green Red Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nRed Red Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\nYellow Yellow Blue Blue Green Green Red Red Yellow Yellow Blue Blue Green Green Red Red\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Green Green Orange Orange Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Green Green Orange Orange Black Black Purple Purple Black Black Black Black\nBlack Black Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black Orange Orange\nBlack Black Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black Orange Orange\nBlack Black Black Black Purple Purple Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Orange Orange Black Black Black Black\nPink Pink Black Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black\nPink Pink Black Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack 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 Pink Pink\nOrange Orange Black Black Orange Orange Purple Purple Black Black Black Black Black Black Red Red\nOrange Orange Black Black Orange Orange Purple Purple Black Black Black Black Black Black Red Red\nOrange Orange Black Black Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black\nOrange Orange Black Black Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black\n\nOutput:\nBlack Black Green Green Orange Orange Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Green Green Orange Orange Black Black Purple Purple Black Black Black Black Black Black\nYellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black Orange Orange Black Black\nYellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black Orange Orange Black Black\nBlack Black Purple Purple Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Pink Pink\nBlack Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Orange Orange Purple Purple Black Black Black Black Black Black Red Red Orange Orange\nBlack Black Orange Orange Purple Purple Black Black Black Black Black Black Red Red Orange Orange\nBlack Black Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black Orange Orange\nBlack Black Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black Orange Orange\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Blue Blue Brown Brown Red Red Black Black Red Red\nBrown Brown Brown Brown Blue Blue Brown Brown Red Red Black Black Red Red\nBlack Black Black Black Green Green Black Black Orange Orange Pink Pink Purple Purple\nBlack Black Black Black Green Green Black Black Orange Orange Pink Pink Purple Purple\nPurple Purple Black Black Pink Pink Blue Blue Purple Purple Blue Blue Orange Orange\nPurple Purple Black Black Pink Pink Blue Blue Purple Purple Blue Blue Orange Orange\nYellow Yellow Orange Orange Black Black Pink Pink Gray Gray Black Black Pink Pink\nYellow Yellow Orange Orange Black Black Pink Pink Gray Gray Black Black Pink Pink\nRed Red Black Black Purple Purple Orange Orange Black Black Black Black Gray Gray\nRed Red Black Black Purple Purple Orange Orange Black Black Black Black Gray Gray\nPink Pink Blue Blue Brown Brown Black Black Orange Orange Black Black Gray Gray\nPink Pink Blue Blue Brown Brown Black Black Orange Orange Black Black Gray Gray\nBlack Black Black Black Black Black Blue Blue Purple Purple Black Black Pink Pink\nBlack Black Black Black Black Black Blue Blue Purple Purple Black Black Pink Pink\n\nOutput:\nBrown Brown Blue Blue Brown Brown Red Red Black Black Red Red Brown Brown\nBrown Brown Blue Blue Brown Brown Red Red Black Black Red Red Brown Brown\nBlack Black Green Green Black Black Orange Orange Pink Pink Purple Purple Black Black\nBlack Black Green Green Black Black Orange Orange Pink Pink Purple Purple Black Black\nBlack Black Pink Pink Blue Blue Purple Purple Blue Blue Orange Orange Purple Purple\nBlack Black Pink Pink Blue Blue Purple Purple Blue Blue Orange Orange Purple Purple\nOrange Orange Black Black Pink Pink Gray Gray Black Black Pink Pink Yellow Yellow\nOrange Orange Black Black Pink Pink Gray Gray Black Black Pink Pink Yellow Yellow\nBlack Black Purple Purple Orange Orange Black Black Black Black Gray Gray Red Red\nBlack Black Purple Purple Orange Orange Black Black Black Black Gray Gray Red Red\nBlue Blue Brown Brown Black Black Orange Orange Black Black Gray Gray Pink Pink\nBlue Blue Brown Brown Black Black Orange Orange Black Black Gray Gray Pink Pink\nBlack Black Black Black Blue Blue Purple Purple Black Black Pink Pink Black Black\nBlack Black Black Black Blue Blue Purple Purple Black Black Pink Pink Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Gray Gray Pink Pink 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\nGray Gray Orange Orange Black Black Gray Gray Brown Brown Black Black Purple Purple Green Green Yellow Yellow\nGray Gray Orange Orange Black Black Gray Gray Brown Brown Black Black Purple Purple Green Green Yellow Yellow\nBlue Blue Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Brown Brown Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Brown Brown Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Blue Blue Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Blue Blue Black Black Brown Brown Black Black Black Black Black Black\nRed Red Purple Purple Blue Blue Black Black Green Green Black Black Pink Pink Brown Brown Gray Gray\nRed Red Purple Purple Blue Blue Black Black Green Green Black Black Pink Pink Brown Brown Gray Gray\nPurple Purple Yellow Yellow Green Green Yellow Yellow Black Black Black Black Black Black Black Black Pink Pink\nPurple Purple Yellow Yellow Green Green Yellow Yellow Black Black Black Black Black Black Black Black Pink Pink\n\nOutput:\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Gray Gray Brown Brown Black Black Purple Purple Green Green Yellow Yellow Gray Gray\nOrange Orange Black Black Gray Gray Brown Brown Black Black Purple Purple Green Green Yellow Yellow Gray Gray\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Blue Blue\nBlack Black Yellow Yellow Blue Blue Brown Brown Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Brown Brown Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Blue Blue Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Blue Blue Black Black Brown Brown Black Black Black Black Black Black Black Black\nPurple Purple Blue Blue Black Black Green Green Black Black Pink Pink Brown Brown Gray Gray Red Red\nPurple Purple Blue Blue Black Black Green Green Black Black Pink Pink Brown Brown Gray Gray Red Red\nYellow Yellow Green Green Yellow Yellow Black Black Black Black Black Black Black Black Pink Pink Purple Purple\nYellow Yellow Green Green Yellow Yellow Black Black Black Black Black Black Black Black Pink Pink Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Orange Orange Black Black\nBlack Black Green Green Black Black Black Black Purple Purple Brown Brown Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Purple Purple Brown Brown Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Green Green\nBrown Brown Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Green Green\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Orange Orange Black Black Black Black\nGreen Green Black Black Black Black Purple Purple Brown Brown Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Purple Purple Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\n\nOutput:\nBlack Green Green Green Black Black Black Black Black Yellow Black Black\nBlack Black Green Black Orange Black Orange Black Orange Black Orange Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Green Black Black Black Black\nBlack Green Black Black Black Black Green Green Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Yellow Black Black Green Black Black Green Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Orange Black Orange Green Green Green Green Green\nBlack Orange Black Orange Green Green Black Black Green Black\nOrange Black Orange Green Orange Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black\nBlack Green Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Black\nBlack Green Black Orange Black Orange Black Green Green Green Black\nGreen Green Green Black Yellow Black Black Black Green Black Black\nBlack Green Black Orange Black Orange Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Green Black Black Green Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow 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 Green Green Green Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Green Black Black Green Black Black\nGreen Green Green Green Green Green Green Green Black\nGreen Green Orange Green Orange Black Green Black Black\nGreen Black Black Yellow Black Black Black Black Black\nBlack Orange Orange Black Orange Black Black Black Black\nYellow 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black 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 Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Green 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\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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Green Black Black Black Blue 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 Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Blue 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 Blue Black Black\nBlack Black Black Black Black Green Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow\nBlack Black Black Black Black Black Black Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow 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\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Green Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow\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:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue 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\nBlack 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\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange 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\nBlack 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\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nOrange Orange Orange Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue 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\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue 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\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Black Black Black Blue Blue 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 Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 Red Red Red Red Black Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Red Red Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Red Red Black\nBlack Black Red Red Red Red Red Black Black Black Red Black\nBlack Red Red Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red 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 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 Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black 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\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray\nGray Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Red Red Black Black\nBlack Black Black Red Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\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 Red Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGray Gray Gray Orange Orange Orange\nGray Gray Gray Orange Orange Orange\nGray Gray Gray Orange Orange Orange\nGray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue\n\nOutput:\nBlue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray\nOrange Orange Orange Gray Gray Gray\nOrange Orange Orange Gray Gray Gray\nOrange Orange Orange Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Orange Orange Orange\nGray Gray Gray Orange Orange Orange\nGray Gray Gray Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Gray Gray Gray\nOrange Orange Orange Gray Gray Gray\nOrange Orange Orange Gray Gray Gray\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Pink Pink Pink Yellow\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Pink Pink Pink Yellow\nYellow Purple Purple Purple Purple Purple Yellow Yellow Orange Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nYellow Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nYellow Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nYellow Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nYellow Purple Purple Purple Purple Purple 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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 Gray Gray Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Gray Gray Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Yellow 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 Red Red Red Green Green Green Green Green Green Green Green Green\nGreen Green Green Pink Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Red Red Red 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 Orange Orange Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Orange Orange 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 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\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\n\nExample 3\nInput:\nGreen 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 Red Red\nGreen Green Green Green Green Green Green 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 Green Green Green Green Green\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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 Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink 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"
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"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Black Black Black Black Black Black Black Black Black Red Red\nGreen Green Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Purple Purple Orange Orange Pink Pink Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Green Green Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Green Green Black Black Black Black\nBlack Black Black Black Gray Gray Brown Brown Yellow Yellow Black Black Black Black\nBlack Black Black Black Gray Gray Brown Brown Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Blue Blue\nGray Gray Black Black Black Black Black Black Black Black Black Black Blue Blue\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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Gray Gray Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Gray Gray Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nPurple Purple Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Blue Blue Pink Pink Green Green Black Black Black Black\nBlack Black Black Black Orange Orange Red Red Gray Gray Black Black Black Black\nBlack Black Black Black Orange Orange Red Red Gray Gray Black Black Black Black\nBlack Black Black Black Yellow Yellow Purple Purple Brown Brown Black Black Black Black\nBlack Black Black Black Yellow Yellow Purple Purple 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\nGray Gray Black Black Black Black Black Black Black Black Black Black Red Red\nGray Gray Black Black Black Black Black Black Black Black Black Black Red Red\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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Red Red Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBrown Brown Black Black Black Black Black Black Black Black Black Black Purple Purple\nBrown Brown Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Pink Pink Red Red Black Black Black Black\nBlack Black Black Black Brown Brown Pink Pink Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Gray Gray Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Gray Gray Black Black Black Black\nBlack Black Black Black Yellow Yellow Orange Orange Purple Purple Black Black Black Black\nBlack Black Black Black Yellow Yellow Orange Orange 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\nPink Pink Black Black Black Black Black Black Black Black Black Black Red Red\nPink Pink Black Black Black Black Black Black Black Black Black Black Red Red\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 Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Red Red Pink Pink Purple Purple Black Black Black Black\nBlack Black Black Black Red Red Pink Pink Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBlue Blue Black Black Black Black Black Black Black Black Black Black Red Red\nBlue Blue Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Purple Purple Pink Pink Black Black Black Black\nBlack Black Black Black Blue Blue Purple Purple Pink Pink Black Black Black Black\nBlack Black Black Black Green Green Yellow Yellow Gray Gray Black Black Black Black\nBlack Black Black Black Green Green Yellow Yellow Gray Gray Black Black Black Black\nBlack Black Black Black Red Red Brown Brown Orange Orange Black Black Black Black\nBlack Black Black Black Red Red Brown Brown Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Green Green\nYellow Yellow Black Black Black Black Black Black Black Black Black Black 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"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Green Yellow Yellow Red Red Black Black Black Black\nBlack Black Black Black Green Green Yellow Yellow Red Red Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBrown Pink Yellow Pink Orange Purple\nGreen Brown Orange Pink Gray Purple\nGray Orange Brown Orange Orange Green\nOrange Purple Gray Pink Blue Orange\nGreen Orange Orange Red Purple Yellow\nGreen Green Green Purple Blue Orange\nBrown Purple Brown Gray Yellow Purple\nPurple Orange Green Yellow Yellow Orange\n\nOutput:\nPurple Pink Yellow Pink Orange Brown\nGreen Brown Orange Pink Gray Purple\nGray Orange Brown Orange Orange Green\nOrange Purple Gray Pink Blue Orange\nGreen Orange Orange Red Purple Yellow\nGreen Green Green Purple Blue Orange\nBrown Purple Brown Gray Yellow Purple\nOrange Orange Green Yellow Yellow Purple\n\n\nExample 2\nInput:\nGray Blue Pink Green Red Blue Yellow Orange\nBrown Gray Brown Purple Blue Brown Orange Red\nOrange Blue Orange Pink Brown Purple Purple Brown\nYellow Orange Yellow Yellow Green Green Pink Brown\nRed Green Blue Orange Pink Purple Purple Blue\n\nOutput:\nRed Blue Pink Green Red Blue Yellow Gray\nBrown Gray Brown Purple Blue Brown Orange Red\nOrange Blue Orange Pink Brown Purple Purple Brown\nYellow Orange Yellow Yellow Green Green Pink Brown\nBlue Green Blue Orange Pink Purple Purple Orange\n\n\nExample 3\nInput:\nPurple Orange Blue Green Red Yellow Yellow Brown Gray\nGreen Orange Yellow Purple Blue Pink Gray Orange Pink\nYellow Red Gray Orange Green Brown Blue Blue Purple\nBrown Yellow Brown Purple Pink Gray Orange Purple Pink\nOrange Purple Blue Blue Gray Green Gray Blue Pink\n\nOutput:\nOrange Orange Blue Green Red Yellow Yellow Brown Purple\nGreen Orange Yellow Purple Blue Pink Gray Orange Pink\nYellow Red Gray Orange Green Brown Blue Blue Purple\nBrown Yellow Brown Purple Pink Gray Orange Purple Pink\nPink Purple Blue Blue Gray Green Gray Blue Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Gray Brown Pink Green Gray Pink\nBrown Pink Gray Pink Gray Pink Blue\nBrown Purple Pink Pink Pink Orange Brown\nBlue Gray Pink Orange Orange Blue Yellow\nBlue Orange Purple Red Brown Pink Red\nRed Orange Gray Green Purple Yellow Orange\nPurple Purple Orange Brown Green 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```\nPurple Gray Brown Pink Green Gray Brown\nBrown Pink Gray Pink Gray Pink Blue\nBrown Purple Pink Pink Pink Orange Brown\nBlue Gray Pink Orange Orange Blue Yellow\nBlue Orange Purple Red Brown Pink Red\nRed Orange Gray Green Purple Yellow Orange\nPink Purple Orange Brown Green Green Pink\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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Pink Pink\nPink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Pink Pink\nPink Pink Black Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow 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\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nExample 3\nInput:\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown\nBrown Brown Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown\nBrown Brown Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black 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\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\nBrown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input 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\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Purple Green Black Black Black Black Black Black\nPink Orange Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green\nBlack Black Green Black Red Red Black Black Black\nBlack Black Green Black Black Red Black Black Red\nBlack Black Green Black Black Red Red Red Red\nBlack Black Green Red Red Red Red Black Black\nBlack Black Green Red Black Black Red Black Black\nBlack Black Green Black Black Black Red Red Black\n\nOutput:\nBlack Yellow Yellow Black Black Black\nBlack Black Yellow Black Black Purple\nBlack Black Yellow Purple Purple Purple\nPink Pink Pink Orange Black Black\nPink Black Black Orange Black Black\nBlack Black Black Orange Orange Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Gray Brown\nBlack Black Black Black Black Black Green Pink Yellow\nGreen Green Green Green Green Green Green Green Green\nRed Red Black Black Red Red Green Black Black\nRed Red Black Black Red Red Green Black Black\nBlack Red Red Red Red Black Green Black Black\nBlack Red Red Red Red Black Green Black Black\nBlack Red Red Red Red Black Green Black Black\nBlack Red Red Red Red Black Green Black Black\n\nOutput:\nGray Gray Black Black Brown Brown\nGray Gray Black Black Brown Brown\nBlack Gray Gray Brown Brown Black\nBlack Pink Pink Yellow Yellow Black\nBlack Pink Pink Yellow Yellow Black\nBlack Pink Pink Yellow Yellow Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Green Purple Pink\nBlack Black Black Black Black Black Green Orange Blue\nGreen Green Green Green Green Green Green Green Green\nBlack Red Black Black Black Black Green Black Black\nRed Red Black Black Black Black Green Black Black\nRed Black Black Black Black Black Green Black Black\nRed Red Red Black Black Black Green Black Black\nBlack Red Red Black Red Red Green Black Black\nBlack Black Red Red Red Red Green Black Black\n\nOutput:\nBlack Purple Black Black Black Black\nPurple Purple Black Black Black Black\nPurple Black Black Black Black Black\nOrange Orange Orange Black Black Black\nBlack Orange Orange Black Blue Blue\nBlack Black Orange Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Green Red Red Red Red Black Black\nBlack Black Green Black Red Red Red Red Red\nBlack Black Green Black Red Red Red Red Red\nBlack Black Green Black Red Red Red Red Red\nBlack Black Green Black Red Red Red Red Red\nBlack Black Green Red Red Red Red Black Black\nGreen Green Green Green Green Green Green Green Green\nPurple Orange Green Black Black Black Black Black Black\nPink Gray 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```\nPurple Purple Purple Orange Black Black\nBlack Purple Purple Orange Orange Orange\nBlack Purple Purple Orange Orange Orange\nBlack Pink Pink Gray Gray Gray\nBlack Pink Pink Gray Gray Gray\nPink Pink Pink Gray 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 Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink 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 Black Black Black Black\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 Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown 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 Black Black 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 Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Green Green Orange Orange Black Black Purple Purple Black Black Pink Pink\nBlack Black Black Black Green Green Orange Orange Black Black Purple Purple Black Black Pink Pink\nBlack Black Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black Orange Orange\nBlack Black Yellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black Orange Orange\nBlack Black Black Black Purple Purple Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Orange Orange Black Black Black Black\nPink Pink Black Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black\nPink Pink Black Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack 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 Pink Pink\nOrange Orange Black Black Orange Orange Purple Purple Black Black Black Black Black Black Red Red\nOrange Orange Black Black Orange Orange Purple Purple Black Black Black Black Black Black Red Red\nBlack Black Black Black Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black\n\nOutput:\nBlack Black Green Green Orange Orange Black Black Purple Purple Black Black Pink Pink Black Black\nBlack Black Green Green Orange Orange Black Black Purple Purple Black Black Pink Pink Black Black\nYellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black Orange Orange Black Black\nYellow Yellow Black Black Blue Blue Orange Orange Black Black Black Black Orange Orange Black Black\nBlack Black Purple Purple Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Pink Pink\nBlack Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Orange Orange Purple Purple Black Black Black Black Black Black Red Red Orange Orange\nBlack Black Orange Orange Purple Purple Black Black Black Black Black Black Red Red Orange Orange\nBlack Black Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Gray Gray Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Brown Brown Brown Brown Black Black Blue Blue\nBlack Black Purple Purple Black Black Brown Brown Brown Brown Black Black Blue Blue\nBlack Black Black Black Black Black Yellow Yellow Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Pink Pink Black Black\nBlue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlue Blue Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Gray Gray Black Black Purple Purple\nBlack Black Black Black Black Black Pink Pink Gray Gray Black Black Purple Purple\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow\nRed Red Black Black Black Black Black Black Yellow Yellow Purple Purple Black Black\nRed Red Black Black Black Black Black Black Yellow Yellow Purple Purple Black Black\n\nOutput:\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nPurple Purple Black Black Brown Brown Brown Brown Black Black Blue Blue Black Black\nPurple Purple Black Black Brown Brown Brown Brown Black Black Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue\nBlack Black Black Black Pink Pink Gray Gray Black Black Purple Purple Black Black\nBlack Black Black Black Pink Pink Gray Gray Black Black Purple Purple Black Black\nBrown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBrown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Purple Purple Black Black Red Red\nBlack Black Black Black Black Black Yellow Yellow Purple Purple Black Black Red Red\n\n\nExample 3\nInput:\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Gray Gray Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Purple Purple Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\n\nOutput:\nGray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Brown Brown 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 Orange Orange Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Gray Gray Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlue Blue Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Orange Orange\nBlue Blue Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Orange Orange\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Green Green\nBrown Brown Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Green Green\nBlack Black Blue Blue Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nGray Gray Yellow Yellow Black Black Orange Orange Black Black Brown Brown Black Black Black Black Black Black\nGray Gray Yellow Yellow Black Black Orange Orange Black Black Brown Brown Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Blue Blue Purple Purple Pink Pink Black Black Black Black Black Black Pink Pink\nBlack Black Gray Gray Blue Blue Purple Purple Pink Pink Black Black Black Black 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Orange Orange Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Orange Orange Blue Blue\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Green Green Brown Brown\nBlue Blue Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Red Red\nYellow Yellow Black Black Orange Orange Black Black Brown Brown Black Black Black Black Black Black Gray Gray\nYellow Yellow Black Black Orange Orange Black Black Brown Brown Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nGray Gray Blue Blue Purple Purple Pink Pink Black Black Black Black Black Black Pink Pink Black Black\nGray Gray Blue Blue Purple Purple Pink Pink Black Black Black Black Black Black Pink Pink Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray 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\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Yellow Yellow Yellow Black Black Orange Black Black Black Black Black Black Black Black Black\nRed Red Red Red Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black 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 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 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\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\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 Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Yellow Red Purple Purple Green Red Brown\nRed Pink Brown Yellow Pink Orange Gray Red\nBlue Red Yellow Red Orange Purple Orange Purple\nBrown Brown Green Pink Orange Red Yellow Pink\nPink Orange Brown Green Orange Purple Red Blue\nRed Brown Blue Green Green Purple Red Purple\nOrange Blue Blue Purple Yellow Blue Blue Pink\nGray Brown Blue Brown Orange Red Pink Orange\nPurple Purple Red Brown Red Brown Red Orange\nPink Gray Red Yellow Blue Purple Brown Purple\nGreen Blue Pink Yellow Gray Yellow Yellow Purple\nPurple Blue Brown Gray Purple Pink Pink Gray\nPurple Orange Green Yellow Yellow Orange Brown Purple\nBrown Gray Yellow Purple Green Green Green Purple\nBlue Orange Green Orange Orange Red Purple Yellow\nOrange Purple Gray Pink Blue Orange Gray Orange\nBrown Orange Orange Green Green Brown Orange Pink\nGray Purple Brown Pink Yellow Pink Orange Purple\n\nOutput:\nBrown Yellow Blue Purple Gray Green Blue Brown\nRed Red Brown Orange Pink Blue Gray Purple\nPurple Red Pink Red Red Purple Red Purple\nBrown Yellow Green Red Orange Purple Yellow Red\nOrange Orange Green Green Red Purple Blue Blue\nRed Yellow Blue Pink Green Brown Red Brown\nRed Blue Purple Purple Pink Blue Purple Pink\nGray Yellow Blue Yellow Orange Purple Pink Blue\nGray Purple Blue Brown Blue Brown Blue Orange\nPink Green Red Orange Blue Brown Brown Brown\nYellow Blue Orange Yellow Brown Yellow Pink Purple\nPurple Gray Brown Green Purple Red Pink Green\nGray Orange Yellow Yellow Pink Orange Green Purple\nBrown Green Yellow Brown Green Pink Green Brown\nPurple Orange Yellow Orange Red Red Gray Yellow\nOrange Brown Gray Red Blue Blue Gray Blue\nGreen Orange Red Green Yellow Brown Red Pink\nGray Brown Brown Red Yellow Red Orange Brown\n\n\nExample 2\nInput:\nYellow Red Purple Purple Purple Brown Brown Orange Orange Pink\nOrange Gray Gray Brown Yellow Orange Pink Red Orange Pink\nPurple Yellow Gray Pink Gray Purple Red Purple Blue Pink\nRed Green Blue Orange Pink Purple Purple Blue Yellow Orange\nYellow Yellow Green Green Pink Brown Orange Blue Orange Pink\nBrown Purple Purple Brown Brown Gray Brown Purple Blue Brown\nOrange Red Gray Blue Pink Green Red Blue Yellow Orange\n\nOutput:\nYellow Purple Purple Brown Purple Yellow Brown Blue Orange Red\nRed Gray Brown Brown Pink Orange Orange Red Red Pink\nPurple Orange Gray Red Gray Brown Red Brown Blue Red\nBlue Green Purple Orange Orange Purple Gray Blue Pink Orange\nYellow Orange Green Pink Pink Yellow Orange Gray Orange Red\nGreen Purple Gray Brown Green Gray Green Purple Purple Brown\nOrange Purple Gray Gray Pink Pink Red Gray Yellow Blue\n\n\nExample 3\nInput:\nPurple Pink Pink Yellow Brown Pink Gray Blue Green Blue Gray\nGreen Orange Blue Purple Pink Brown Brown Yellow Orange Blue Yellow\nYellow Blue Green Yellow Green Blue Green Brown Red Purple Orange\nPurple Blue Blue Gray Green Gray Blue Pink Brown Yellow Brown\nPurple Pink Gray Orange Purple Pink Yellow Red Gray Orange Green\nBrown Blue Blue Purple Green Orange Yellow Purple Blue Pink Gray\nOrange Pink Purple Orange Blue Green Red Yellow Yellow Brown Gray\n\nOutput:\nBrown Pink Red Yellow Yellow Pink Green Blue Pink Blue Green\nGreen Red Blue Gray Pink Green Brown Pink Orange Purple Yellow\nOrange Blue Pink Yellow Pink Blue Pink Brown Purple Purple Blue\nPurple Purple Blue Brown Green Brown Blue Orange Brown Pink Brown\nBrown Pink Green Orange Brown Pink Orange Red Green Orange Pink\nBrown Purple Blue Gray Green Red Yellow Gray Blue Orange Gray\nBlue Pink Brown Orange Gray Green Purple Yellow Orange Brown Green\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```\nOrange Red Red Green Brown Green Blue Purple Green\nBlue Red Yellow Blue Blue Gray Red Brown Gray\nOrange Blue Red Blue Orange Brown Blue Brown Brown\nPurple Blue Green Purple Yellow Gray Purple Red Brown\nPink Green Red Red Blue Gray Pink Purple Orange\nOrange Purple Orange Gray Red Green Pink Blue Blue\nGreen Pink Blue Orange Gray Yellow Yellow Purple Red\nPink Orange Orange Green Brown Orange Gray Orange Gray\nRed Blue Yellow Gray Yellow Pink Pink Gray Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Blue Blue Black Blue Black Black Blue Black Black Blue Blue Blue Black Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue Black Black Black Black Blue Black Blue Blue Black Blue Blue Black Blue Blue\nBlue Blue Black Black Black Black Blue Black Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Blue Black Blue Black Blue Black Blue Blue Black Black Blue Black Blue Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Blue Blue Black Blue Black Blue Blue Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Black Black Blue\nBlue Black Blue Black Blue Black Black Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Black Blue Black Blue Black Blue Blue Black Black Blue Black Blue Black Blue Blue Black Blue Black\nBlue Black Black Blue Black Black Black Blue Black Black Blue Blue Black Black Black Black Black Black Black Blue\nBlue Blue Blue Black Blue Black Blue Blue Blue Yellow Blue Black Blue Blue Blue Blue Blue Blue Black Black\nBlue Black Black Black Blue Black Black Black Blue Yellow Yellow Black Blue Black Black Blue Black Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Blue Black Black Blue\nBlue Black Blue Blue Blue Blue Black Black Black Blue Black Black Black Blue Blue Black Blue Blue Blue Black\nBlack Black Blue Black Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Blue Black Blue Black\nBlue Blue Blue Yellow Blue Black Black Blue Black Black Black Yellow Blue Black Black Blue Blue Black Blue Black\nBlack Blue Black Yellow Yellow Black Black Black Blue Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Black\nBlue Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Black Black Black Black Blue Black\nBlue Black Blue Blue Blue Blue Black Blue Black Black Blue Black Blue Blue Blue Blue Black Blue Blue Black\nBlack Blue Black Black Black Black Blue Blue Blue Black Black Black Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Blue Black Blue Black Black Blue Black Black Blue Blue Blue Black Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue Black Black Black Black Blue Black Blue Blue Black Blue Blue Black Blue Blue\nBlue Blue Black Black Black Black Blue Black Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Blue Black Blue Black Blue Black Blue Blue Black Black Blue Black Blue Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Blue Blue Black Blue Black Blue Blue Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Black Black Blue\nBlue Black Blue Black Blue Black Black Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Black Blue Black Blue Black Blue Blue Black Black Blue Black Blue Black Blue Blue Black Blue Black\nBlue Black Black Blue Black Black Black Blue Black Black Blue Blue Black Black Black Black Black Black Black Blue\nBlue Blue Blue Black Blue Black Blue Blue Blue Red Blue Black Blue Blue Blue Blue Blue Blue Black Black\nBlue Black Black Black Blue Black Black Black Blue Red Red Black Blue Black Black Blue Black Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Blue Black Black Blue\nBlue Black Blue Blue Blue Blue Black Black Black Blue Black Black Black Blue Blue Black Blue Blue Blue Black\nBlack Black Blue Black Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Blue Black Blue Black\nBlue Blue Blue Yellow Blue Black Black Blue Black Black Black Yellow Blue Black Black Blue Blue Black Blue Black\nBlack Blue Black Yellow Yellow Black Black Black Blue Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Black\nBlue Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Black Black Black Black Blue Black\nBlue Black Blue Blue Blue Blue Black Blue Black Black Blue Black Blue Blue Blue Blue Black Blue Blue Black\nBlack Blue Black Black Black Black Blue Blue Blue Black Black Black Blue Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue\nBlue Black Black Blue Black Blue Blue Black Black Blue Black Black Black Black Blue Blue Blue Black Black Blue\nBlue Blue Black Black Black Blue Blue Black Black Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Black Blue Blue Black Blue Black Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Blue Black Black Blue Blue Black Blue Black Black Black Black Blue Black Blue Blue Blue\nBlue Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Black Blue Yellow Blue Black Blue Black Blue Black Black Blue Blue Black Blue Black Blue Blue Black Black\nBlue Black Black Yellow Yellow Black Black Blue Blue Black Blue Black Blue Blue Blue Black Black Black Black Blue\nBlack Blue Blue Blue Blue Black Blue Black Black Black Blue Blue Black Blue Blue Black Black Blue Black Black\nBlue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Black Black Black Blue Black\nBlack Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Black Black Blue Black Blue Black Black Blue\nBlue Blue Black Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Black\nBlue Black Blue Black Black Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Black Blue Black Blue\nYellow Black Black Blue Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black\nYellow Yellow Black Black Blue Black Blue Black Black Blue Black Black Black Black Black Blue Black Blue Black Black\nBlue Black Blue Black Black Black Blue Black Blue Yellow Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Black Blue Black Black Blue Yellow Yellow Black Black Blue Black Blue Black Blue Black Blue\nBlack Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Black Black Blue Black Black Blue\nBlack Blue Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Blue Black Black\n\nOutput:\nBlack Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue\nBlue Black Black Blue Black Blue Blue Black Black Blue Black Black Black Black Blue Blue Blue Black Black Blue\nBlue Blue Black Black Black Blue Blue Black Black Blue Blue Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Black Blue Blue Black Blue Black Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Blue Black Black Blue Blue Black Blue Black Black Black Black Blue Black Blue Blue Blue\nBlue Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Black Blue Red Blue Black Blue Black Blue Black Black Blue Blue Black Blue Black Blue Blue Black Black\nBlue Black Black Red Red Black Black Blue Blue Black Blue Black Blue Blue Blue Black Black Black Black Blue\nBlack Blue Blue Blue Blue Black Blue Black Black Black Blue Blue Black Blue Blue Black Black Blue Black Black\nBlue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Black Black Black Blue Black\nBlack Blue Black Blue Blue Black Blue Blue Black Blue Blue Black Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Blue Black Black Black Black Blue Black Blue Black Black Blue\nBlue Blue Black Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Black\nBlue Black Blue Black Black Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Black Blue Black Blue\nYellow Black Black Blue Black Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black\nYellow Yellow Black Black Blue Black Blue Black Black Blue Black Black Black Black Black Blue Black Blue Black Black\nBlue Black Blue Black Black Black Blue Black Blue Yellow Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Black Blue Black Black Blue Yellow Yellow Black Black Blue Black Blue Black Blue Black Blue\nBlack Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Black Black Blue Black Black Blue\nBlack Blue Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Blue Blue Blue Black Blue Blue Yellow Black Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue\nBlue Blue Black Black Black Blue Blue Yellow Yellow Black Blue Black Black Black Blue Black Blue Black Blue Black\nBlack Black Blue Black Blue Blue Black Black Black Blue Black Black Blue Blue Blue Black Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Blue Black Black Black Black Blue Black Black Black Black Blue Blue\nBlue Black Blue Blue Blue Black Black Black Black Black Black Blue Black Blue Black Black Blue Black Blue Black\nBlack Blue Black Blue Black Black Blue Blue Black Black Blue Blue Blue Black Blue Blue Black Blue Blue Black\nBlue Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue Black\nBlack Blue Black Blue Blue Black Blue Black Blue Black Black Blue Blue Blue Blue Black Blue Blue Black Black\nBlue Black Black Blue Yellow Blue Black Blue Blue Black Blue Yellow Black Blue Blue Black Black Blue Blue Blue\nBlack Blue Black Blue Yellow Yellow Black Blue Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Black\nBlue Black Blue Blue Black Black Black Blue Blue Blue Blue Black Blue Black Blue Blue Black Black Blue Black\nBlack Black Black Blue Blue Black Blue Black Black Blue Black Blue Black Black Blue Blue Blue Black Black Blue\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Black Black\nBlue Black Black Blue Black Black Blue Blue Black Blue Blue Blue Black Black Black Black Blue Black Black Blue\nBlue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Black Black Black Blue Black Black Blue Blue\nBlack Blue Black Black Blue Black Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Black Black Black Black Black Blue Black Black Blue Blue Blue Black Blue Blue\nBlack Black Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Blue Blue Black Blue Blue Black\nBlue Black Black Black Blue Blue Blue Blue Black Blue Black Black Black Blue Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black\n\nOutput:\nBlack Blue Blue Blue Black Blue Blue Red Black Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue\nBlue Blue Black Black Black Blue Blue Red Red Black Blue Black Black Black Blue Black Blue Black Blue Black\nBlack Black Blue Black Blue Blue Black Black Black Blue Black Black Blue Blue Blue Black Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Blue Black Black Black Black Blue Black Black Black Black Blue Blue\nBlue Black Blue Blue Blue Black Black Black Black Black Black Blue Black Blue Black Black Blue Black Blue Black\nBlack Blue Black Blue Black Black Blue Blue Black Black Blue Blue Blue Black Blue Blue Black Blue Blue Black\nBlue Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue Blue Black\nBlack Blue Black Blue Blue Black Blue Black Blue Black Black Blue Blue Blue Blue Black Blue Blue Black Black\nBlue Black Black Blue Yellow Blue Black Blue Blue Black Blue Yellow Black Blue Blue Black Black Blue Blue Blue\nBlack Blue Black Blue Yellow Yellow Black Blue Black Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Black\nBlue Black Blue Blue Black Black Black Blue Blue Blue Blue Black Blue Black Blue Blue Black Black Blue Black\nBlack Black Black Blue Blue Black Blue Black Black Blue Black Blue Black Black Blue Blue Blue Black Black Blue\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Black Black\nBlue Black Black Blue Black Black Blue Blue Black Blue Blue Blue Black Black Black Black Blue Black Black Blue\nBlue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Blue Black Black Black Blue Black Black Blue Blue\nBlack Blue Black Black Blue Black Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Black Black Black Black Black Blue Black Black Blue Blue Blue Black Blue Blue\nBlack Black Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Blue Blue Black Blue Blue Black\nBlue Black Black Black Blue Blue Blue Blue Black Blue Black Black Black Blue Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Black Black Black Blue Blue Black Yellow Blue Black Blue Black Black Black Black Black Blue\nBlack Black Blue Black Blue Blue Yellow Black Blue Black Yellow Yellow Blue Blue Black Blue Black Black Blue Blue\nBlack Blue Blue Blue Black Black Yellow Yellow Black Blue Blue Black Blue Black Blue Blue Black Blue Black Blue\nBlack Blue Black Black Blue Blue Black Black Black Blue Black Blue Black Blue Black Black Black Blue Blue Black\nBlue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue\nBlack Blue Black Blue Black Blue Black Black Blue Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue\nBlack Black Black Blue Blue Black Black Blue Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black\nBlue Black Black Black Black Black Black Black Blue Blue Black Blue Blue Black Blue Blue Black Black Black Blue\nBlack Blue Blue Blue Black Blue Blue Blue Blue Yellow Black Black Black Blue Blue Blue Black Black Blue Black\nBlack Black Blue Blue Blue Black Blue Black Black Yellow Yellow Blue Blue Black Blue Blue Black Blue Black Blue\nBlack Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Black Black Blue Blue Blue Black Blue Black\nBlack Black Blue Blue Black Blue Black Black Black Black Blue Black Blue Black Blue Blue Black Black Blue Blue\nBlue Black Blue Blue Blue Blue Black Blue Blue Black Black Blue Black Blue Blue Blue Black Black Black Black\nBlack Blue Black Blue Blue Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Blue Blue Black Black\nBlack Black Blue Blue Black Blue Blue Blue Blue Black Black Black Blue Blue Black Blue Black Black Black Blue\nBlack Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Black Blue Black\nBlack Black Blue Black Blue Black Blue Blue Black Black Black Blue Black Black Blue Blue Blue Black Blue Black\nBlue Black Black Black Blue Black Black Blue Black Black Blue Black Black Blue Black Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Blue Black Black Blue Blue Black Black Black\nBlack Blue Blue Black Blue Black Black Black Blue Blue Black Blue Black Black Black Blue 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```\nBlack Black Black Blue Black Black Black Blue Blue Black Red Blue Black Blue Black Black Black Black Black Blue\nBlack Black Blue Black Blue Blue Yellow Black Blue Black Red Red Blue Blue Black Blue Black Black Blue Blue\nBlack Blue Blue Blue Black Black Yellow Yellow Black Blue Blue Black Blue Black Blue Blue Black Blue Black Blue\nBlack Blue Black Black Blue Blue Black Black Black Blue Black Blue Black Blue Black Black Black Blue Blue Black\nBlue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue\nBlack Blue Black Blue Black Blue Black Black Blue Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue\nBlack Black Black Blue Blue Black Black Blue Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black\nBlue Black Black Black Black Black Black Black Blue Blue Black Blue Blue Black Blue Blue Black Black Black Blue\nBlack Blue Blue Blue Black Blue Blue Blue Blue Yellow Black Black Black Blue Blue Blue Black Black Blue Black\nBlack Black Blue Blue Blue Black Blue Black Black Yellow Yellow Blue Blue Black Blue Blue Black Blue Black Blue\nBlack Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Black Black Blue Blue Blue Black Blue Black\nBlack Black Blue Blue Black Blue Black Black Black Black Blue Black Blue Black Blue Blue Black Black Blue Blue\nBlue Black Blue Blue Blue Blue Black Blue Blue Black Black Blue Black Blue Blue Blue Black Black Black Black\nBlack Blue Black Blue Blue Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Blue Blue Black Black\nBlack Black Blue Blue Black Blue Blue Blue Blue Black Black Black Blue Blue Black Blue Black Black Black Blue\nBlack Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Black Blue Black\nBlack Black Blue Black Blue Black Blue Blue Black Black Black Blue Black Black Blue Blue Blue Black Blue Black\nBlue Black Black Black Blue Black Black Blue Black Black Blue Black Black Blue Black Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Blue Black Black Blue Blue Black Black Black\nBlack Blue Blue Black Blue Black Black Black Blue Blue Black Blue Black Black Black Blue Blue 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 Blue Blue Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black 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 Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Purple Purple Black Black Brown Brown Black Black Black Black Brown Brown Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Purple Purple Black Black Brown Brown Black Black Black Black Brown Brown Black Black Black Black\nPurple Purple Blue Blue Yellow Yellow Black Black Blue Blue Black Black Purple Purple Black Black Black Black Black Black Yellow Yellow\nPurple Purple Blue Blue Yellow Yellow Black Black Blue Blue Black Black Purple Purple Black Black Black Black Black Black Yellow Yellow\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nYellow Yellow Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black Purple Purple Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black Purple Purple Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Purple Purple Black Black Blue Blue Black Black Yellow Yellow Blue Blue Purple Purple\nYellow Yellow Black Black Black Black Black Black Purple Purple Black Black Blue Blue Black Black Yellow Yellow Blue Blue Purple Purple\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Purple Purple Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Orange Orange Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Pink Pink Black Black Red Red Black Black Black Black Red Red Black Black Black Black\nBlack Black Gray Gray Pink Pink Black Black Red Red Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Green Green Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Green Green Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Orange Orange\n\nOutput:\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nGray Gray Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Orange Orange Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Orange Orange Purple Purple Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Red Red Black Black Pink Pink Gray Gray Black Black\nBlack Black Black Black Red Red Black Black Black Black Red Red Black Black Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Black Black Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Gray Gray Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Gray Gray 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 Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Green Green Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Pink Pink Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Gray Gray 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Brown Brown 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 Black Black\nBlack 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 Brown Brown Black Black Black Black Black Black Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Red Red\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Red Red Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Brown Brown 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 Purple Purple Black Black\nBlack Black Black Black Black 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Red Red Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Red Red Black Black Black Black Black Black Brown Brown Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Red Red Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Red Red Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Brown Brown\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black 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 Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Green Black Black Black Black Green Green Green Black Black\nBlack Blue Green Green Black Black Black Black Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Yellow Black Black Black\nRed Red Black Black Black Black Black Yellow Yellow Yellow Black Black\nRed Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Green Black Black Black Black Green Green Green Black Black\nBlack Blue Green Green Black Black Black Black Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Yellow Black Black Black\nOrange Orange Orange Black Black Black Black Yellow Yellow Yellow Black Black\nOrange Orange Orange Black Black Black Yellow Yellow Yellow Yellow Yellow Black\n\n\nExample 2\nInput:\nRed Red Red Red Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Black Black Black Black Black Black Black Black Yellow\nBlue Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Red\nBlack Black Yellow Yellow Black Black Black Black Black Red Red\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Red\nBlack Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Yellow\nOrange Orange Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Red\nBlack Black Yellow Yellow Black Black Black Black Black Red Red\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Red\nBlack Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Green Black Black Black Black Black\nBlack Red Red Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Yellow Yellow Green Black Black Black Black Black\nBlue Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlue Blue Yellow Yellow Yellow Green Black Black Black Black\nBlue Black Black Yellow Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Yellow\nBlack Black Black Black Green Green Green Black Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Black Black Black Black Black Green Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\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 Purple Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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"
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{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBrown Brown Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Green Green Green Green\nBrown Brown Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Green Green Green Green\nPurple Purple Brown Brown Orange Orange Orange Orange Purple Purple Red Red Orange Orange Green Green\nPurple Purple Brown Brown Orange Orange Orange Orange Purple Purple Red Red Orange Orange Green Green\nGray Gray Green Green Brown Brown Blue Blue Orange Orange Orange Orange Blue Blue Green Green\nGray Gray Green Green Brown Brown Blue Blue Orange Orange Orange Orange Blue Blue Green Green\nPink Pink Green Green Orange Orange Pink Pink Yellow Yellow Orange Orange Purple Purple Purple Purple\nPink Pink Green Green Orange Orange Pink Pink Yellow Yellow Orange Orange Purple Purple Purple Purple\nPink Pink Green Green Orange Orange Pink Pink Yellow Yellow Orange Orange Purple Purple Purple Purple\nPink Pink Green Green Orange Orange Pink Pink Yellow Yellow Orange Orange Purple Purple Purple Purple\nGray Gray Green Green Brown Brown Blue Blue Orange Orange Orange Orange Blue Blue Green Green\nGray Gray Green Green Brown Brown Blue Blue Orange Orange Orange Orange Blue Blue Green Green\nPurple Purple Brown Brown Orange Orange Orange Orange Purple Purple Red Red Orange Orange Green Green\nPurple Purple Brown Brown Orange Orange Orange Orange Purple Purple Red Red Orange Orange Green Green\nBrown Brown Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Green Green Green Green\nBrown Brown Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Green Green Green Green\n\nOutput:\nBrown Brown Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange Green Green Green Green\nBrown Brown Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange Green Green Green Green\nOrange Orange Brown Brown Orange Orange Orange Orange Orange Orange Red Red Orange Orange Green Green\nOrange Orange Brown Brown Orange Orange Orange Orange Orange Orange Red Red Orange Orange Green Green\nPink Pink Green Green Brown Brown Red Red Orange Orange Orange Orange Red Red Green Green\nPink Pink Green Green Brown Brown Red Red Orange Orange Orange Orange Red Red Green Green\nPink Pink Green Green Orange Orange Pink Pink Green Green Orange Orange Orange Orange Orange Orange\nPink Pink Green Green Orange Orange Pink Pink Green Green Orange Orange Orange Orange Orange Orange\nPink Pink Green Green Orange Orange Pink Pink Green Green Orange Orange Orange Orange Orange Orange\nPink Pink Green Green Orange Orange Pink Pink Green Green Orange Orange Orange Orange Orange Orange\nPink Pink Green Green Brown Brown Red Red Orange Orange Orange Orange Red Red Green Green\nPink Pink Green Green Brown Brown Red Red Orange Orange Orange Orange Red Red Green Green\nOrange Orange Brown Brown Orange Orange Orange Orange Orange Orange Red Red Orange Orange Green Green\nOrange Orange Brown Brown Orange Orange Orange Orange Orange Orange Red Red Orange Orange Green Green\nBrown Brown Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange Green Green Green Green\nBrown Brown Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange Green Green Green Green\n\n\nExample 2\nInput:\nPink Pink Pink Pink Orange Orange Pink Pink Brown Brown Yellow Yellow Green Green Blue Blue Blue Blue\nPink Pink Pink Pink Orange Orange Pink Pink Brown Brown Yellow Yellow Green Green Blue Blue Blue Blue\nGreen Green Red Red Blue Blue Green Green Orange Orange Brown Brown Blue Blue Orange Orange Green Green\nGreen Green Red Red Blue Blue Green Green Orange Orange Brown Brown Blue Blue Orange Orange Green Green\nPurple Purple Red Red Purple Purple Green Green Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink\nPurple Purple Red Red Purple Purple Green Green Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink\nPurple Purple Red Red Purple Purple Green Green Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink\nPurple Purple Red Red Purple Purple Green Green Yellow Yellow Yellow Yellow Green Green Green Green Pink Pink\nGreen Green Red Red Blue Blue Green Green Orange Orange Brown Brown Blue Blue Orange Orange Green Green\nGreen Green Red Red Blue Blue Green Green Orange Orange Brown Brown Blue Blue Orange Orange Green Green\nPink Pink Pink Pink Orange Orange Pink Pink Brown Brown Yellow Yellow Green Green Blue Blue Blue Blue\nPink Pink Pink Pink Orange Orange Pink Pink Brown Brown Yellow Yellow Green Green Blue Blue Blue Blue\n\nOutput:\nPink Pink Pink Pink Orange Orange Pink Pink Brown Brown Green Green Green Green Red Red Red Red\nPink Pink Pink Pink Orange Orange Pink Pink Brown Brown Green Green Green Green Red Red Red Red\nGreen Green Red Red Red Red Green Green Orange Orange Brown Brown Red Red Orange Orange Green Green\nGreen Green Red Red Red Red Green Green Orange Orange Brown Brown Red Red Orange Orange Green Green\nOrange Orange Red Red Orange Orange Green Green Green Green Green Green Green Green Green Green Pink Pink\nOrange Orange Red Red Orange Orange Green Green Green Green Green Green Green Green Green Green Pink Pink\nOrange Orange Red Red Orange Orange Green Green Green Green Green Green Green Green Green Green Pink Pink\nOrange Orange Red Red Orange Orange Green Green Green Green Green Green Green Green Green Green Pink Pink\nGreen Green Red Red Red Red Green Green Orange Orange Brown Brown Red Red Orange Orange Green Green\nGreen Green Red Red Red Red Green Green Orange Orange Brown Brown Red Red Orange Orange Green Green\nPink Pink Pink Pink Orange Orange Pink Pink Brown Brown Green Green Green Green Red Red Red Red\nPink Pink Pink Pink Orange Orange Pink Pink Brown Brown Green Green Green Green Red Red Red Red\n\n\nExample 3\nInput:\nGray Gray Yellow Yellow Red Red Yellow Yellow Purple Purple Red Red\nGray Gray Yellow Yellow Red Red Yellow Yellow Purple Purple Red Red\nGray Gray Purple Purple Green Green Orange Orange Green Green Blue Blue\nGray Gray Purple Purple Green Green Orange Orange Green Green Blue Blue\nYellow Yellow Orange Orange Pink Pink Orange Orange Green Green Purple Purple\nYellow Yellow Orange Orange Pink Pink Orange Orange Green Green Purple Purple\nPurple Purple Brown Brown Green Green Pink Pink Purple Purple Red Red\nPurple Purple Brown Brown Green Green Pink Pink Purple Purple Red Red\nPurple Purple Brown Brown Green Green Pink Pink Purple Purple Red Red\nPurple Purple Brown Brown Green Green Pink Pink Purple Purple Red Red\nYellow Yellow Orange Orange Pink Pink Orange Orange Green Green Purple Purple\nYellow Yellow Orange Orange Pink Pink Orange Orange Green Green Purple Purple\nGray Gray Purple Purple Green Green Orange Orange Green Green Blue Blue\nGray Gray Purple Purple Green Green Orange Orange Green Green Blue Blue\nGray Gray Yellow Yellow Red Red Yellow Yellow Purple Purple Red Red\nGray Gray Yellow Yellow Red Red Yellow Yellow Purple Purple Red Red\n\nOutput:\nPink Pink Green Green Red Red Green Green Orange Orange Red Red\nPink Pink Green Green Red Red Green Green Orange Orange Red Red\nPink Pink Orange Orange Green Green Orange Orange Green Green Red Red\nPink Pink Orange Orange Green Green Orange Orange Green Green Red Red\nGreen Green Orange Orange Pink Pink Orange Orange Green Green Orange Orange\nGreen Green Orange Orange Pink Pink Orange Orange Green Green Orange Orange\nOrange Orange Brown Brown Green Green Pink Pink Orange Orange Red Red\nOrange Orange Brown Brown Green Green Pink Pink Orange Orange Red Red\nOrange Orange Brown Brown Green Green Pink Pink Orange Orange Red Red\nOrange Orange Brown Brown Green Green Pink Pink Orange Orange Red Red\nGreen Green Orange Orange Pink Pink Orange Orange Green Green Orange Orange\nGreen Green Orange Orange Pink Pink Orange Orange Green Green Orange Orange\nPink Pink Orange Orange Green Green Orange Orange Green Green Red Red\nPink Pink Orange Orange Green Green Orange Orange Green Green Red Red\nPink Pink Green Green Red Red Green Green Orange Orange Red Red\nPink Pink Green Green Red Red Green Green Orange Orange Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Red Red Green Green Green Green Red Red Pink Pink\nBlue Blue Red Red Green Green Green Green Red Red Pink Pink\nRed Red Green Green Green Green Pink Pink Brown Brown Gray Gray\nRed Red Green Green Green Green Pink Pink Brown Brown Gray Gray\nBrown Brown Brown Brown Gray Gray Red Red Yellow Yellow Red Red\nBrown Brown Brown Brown Gray Gray Red Red Yellow Yellow Red Red\nBrown Brown Brown Brown Gray Gray Red Red Yellow Yellow Red Red\nBrown Brown Brown Brown Gray Gray Red Red Yellow Yellow Red Red\nRed Red Green Green Green Green Pink Pink Brown Brown Gray Gray\nRed Red Green Green Green Green Pink Pink Brown Brown Gray Gray\nBlue Blue Red Red Green Green Green Green Red Red Pink Pink\nBlue Blue Red Red Green Green Green Green Red Red Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Green Green Green Green Red Red Pink Pink\nRed Red Red Red Green Green Green Green Red Red Pink Pink\nRed Red Green Green Green Green Pink Pink Brown Brown Pink Pink\nRed Red Green Green Green Green Pink Pink Brown Brown Pink Pink\nBrown Brown Brown Brown Pink Pink Red Red Green Green Red Red\nBrown Brown Brown Brown Pink Pink Red Red Green Green Red Red\nBrown Brown Brown Brown Pink Pink Red Red Green Green Red Red\nBrown Brown Brown Brown Pink Pink Red Red Green Green Red Red\nRed Red Green Green Green Green Pink Pink Brown Brown Pink Pink\nRed Red Green Green Green Green Pink Pink Brown Brown Pink Pink\nRed Red Red Red Green Green Green Green Red Red Pink Pink\nRed Red Red Red Green Green Green Green Red Red Pink Pink\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:\nOrange Gray Red Brown Red Orange Blue Blue Green Gray Red Orange Pink\nRed Pink Green Gray Yellow Green Pink Pink Blue Green Gray Brown Blue\nBrown Pink Yellow Green Orange Blue Blue Blue Green Blue Blue Purple Purple\nBlue Brown Brown Green Pink Blue Blue Yellow Pink Orange Blue Yellow Purple\nYellow Yellow Yellow Blue Brown Blue Blue Orange Pink Blue Blue Purple Pink\nRed Blue Blue Green Red Blue Orange Yellow Blue Brown Pink Blue Brown\nGray Blue Blue Blue Yellow Purple Red Purple Orange Blue Yellow Purple Orange\nYellow Blue Blue Purple Blue Orange Blue Blue Brown Gray Orange Orange Blue\nBrown Gray Green Blue Gray Blue Yellow Blue Purple Blue Purple Red Orange\nBlue Gray Orange Orange Red Pink Brown Green Blue Red Blue Gray Yellow\nPurple Blue Gray Blue Gray Blue Blue Orange Yellow Blue Blue Gray Red\nGreen Pink Gray Red Gray Blue Blue Blue Gray Red Brown Gray Pink\nPink Blue Brown Brown Blue Pink Green Blue Yellow Green Purple Brown Gray\nOrange Green Blue Pink Blue Red Yellow Purple Yellow Pink Blue Blue Purple\nPink Pink Yellow Yellow Orange Brown Yellow Blue Yellow Blue Red Purple Yellow\nGreen Red Green Blue Purple Pink Orange Brown Gray Green Blue Blue Purple\nOrange Yellow Blue Blue Brown Blue Gray Blue Blue Purple Blue Pink Green\n\nOutput:\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Yellow Yellow Blue Yellow Blue Yellow Yellow Blue Yellow Blue Blue\n\n\nExample 2\nInput:\nGreen Blue Yellow Blue Pink Blue Yellow Red Yellow Yellow Orange Green\nBlue Orange Yellow Orange Blue Blue Red Blue Blue Blue Purple Purple\nYellow Purple Brown Blue Yellow Gray Orange Blue Purple Purple Pink Red\nYellow Yellow Purple Yellow Brown Blue Orange Purple Blue Red Blue Orange\nPurple Brown Brown Brown Yellow Yellow Blue Blue Blue Pink Blue Blue\nRed Yellow Blue Blue Red Purple Blue Pink Orange Brown Brown Purple\nOrange Orange Green Pink Pink Brown Green Blue Blue Yellow Pink Gray\nBlue Blue Purple Blue Green Gray Red Blue Green Blue Gray Blue\nBlue Pink Gray Blue Blue Blue Pink Orange Brown Red Blue Brown\nYellow Gray Brown Blue Red Red Gray Purple Blue Gray Orange Yellow\nPurple Gray Gray Red Brown Yellow Blue Brown Blue Blue Pink Yellow\nBrown Blue Green Yellow Yellow Green Green Purple Brown Brown Yellow Yellow\nPink Blue Gray Orange Green Brown Blue Green Blue Gray Blue Purple\nRed Blue Blue Yellow Blue Green Blue Yellow Orange Gray Red Gray\nRed Orange Purple Blue Blue Blue Red Green Green Blue Red Blue\n\nOutput:\nBlue Yellow Blue Yellow Blue Yellow Blue Blue Blue Blue Blue Blue\nYellow 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 Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nYellow 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\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Blue Yellow\n\n\nExample 3\nInput:\nPurple Brown Blue Green Blue Blue Yellow Red Yellow Yellow Green Pink\nGray Yellow Pink Orange Yellow Green Blue Brown Brown Blue Brown Brown\nGray Blue Green Brown Yellow Red Purple Blue Red Brown Blue Brown\nBlue Orange Blue Green Brown Green Red Blue Orange Blue Orange Blue\nBlue Brown Pink Brown Pink Brown Blue Yellow Orange Brown Green Red\nBlue Purple Blue Brown Gray Blue Blue Brown Purple Purple Gray Pink\nPink Yellow Pink Yellow Blue Blue Purple Blue Yellow Pink Green Blue\nYellow Blue Brown Blue Blue Blue Gray Yellow Green Blue Purple Blue\nRed Pink Blue Purple Gray Blue Blue Pink Gray Pink Blue Purple\nBlue Yellow Gray Pink Orange Pink Purple Purple Red Blue Pink Pink\nYellow Yellow Gray Blue Orange Yellow Gray Purple Gray Brown Yellow Blue\nBlue Red Blue Purple Yellow Brown Blue Orange Brown Pink Purple Green\nBlue Purple Red Blue Gray Blue Pink Blue Orange Blue Orange Purple\nBlue Green Brown Blue Red Blue Red Gray Blue Purple Blue Purple\nGray Brown Red Gray Blue Brown Orange Blue Green Green Blue Orange\nBlue Purple Blue Yellow Blue Gray Red Purple Pink Blue Blue Purple\n\nOutput:\nBlue Blue Yellow Blue Yellow Yellow 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\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Yellow Blue Yellow Blue Blue Blue Blue Yellow Yellow Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Yellow Orange Purple Pink Pink Blue Brown Blue Pink Red Blue Brown Blue\nGray Blue Blue Green Pink Blue Red Red Purple Pink Purple Yellow Yellow Brown\nBrown Blue Pink Red Blue Purple Red Yellow Blue Blue Purple Red Green Green\nPink Blue Orange Green Orange Pink Blue Orange Purple Blue Red Blue Red Brown\nGreen Gray Blue Purple Green Pink Blue Yellow Pink Blue Green Blue Blue Gray\nBrown Pink Blue Purple Blue Blue Blue Blue Purple Green Blue Yellow Orange Purple\nGray Blue Green Blue Blue Yellow Gray Blue Pink Blue Purple Blue Gray Purple\nBlue Pink Blue Orange Blue Yellow Red Blue Gray Brown Blue Green Pink Green\nBlue Orange Blue Pink Blue Blue Blue Green Green Yellow Gray Brown Purple Blue\nGreen Yellow Blue Brown Blue Red Green Purple Yellow Gray Yellow Red Green Orange\nBlue Blue Orange Purple Green Pink Brown Pink Blue Blue Blue Orange Blue Red\nYellow Orange Yellow Green Blue Yellow Brown Gray Purple Orange Orange Gray Red Orange\nBlue Pink Pink Pink Purple Brown Blue Green Blue Green Yellow Purple Gray Yellow\nRed Pink Red Blue Blue Green Yellow Red Yellow Purple Orange Blue 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```\nBlue Blue Blue Blue Blue Blue Yellow Blue Yellow Blue Blue Yellow Blue Yellow\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\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow 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 Pink Black Orange Black Yellow Black Green Black Yellow\nYellow Black Orange Black Blue Black Green Black Brown Black\nBlack Brown Black Brown Black Purple Black Green Black Green\nPurple Black Brown Black Pink Black Orange Black Purple Black\nBlack Purple Black Orange Black Red Black Purple Black Orange\nOrange Black Green Black Gray Black Blue Black Brown Black\nBlack Gray Black Gray Black Orange Black Yellow Black Purple\nPink Black Green Black Purple Black Purple Black Orange Black\nBlack Pink Black Orange Black Orange Black Gray Black Gray\nYellow Black Orange Black Orange Black Green Black Yellow Black\n\nOutput:\nBlack Orange Black Blue Black Green Black Brown Black Yellow\nBrown Black Brown Black Purple Black Green Black Green Black\nBlack Brown Black Pink Black Orange Black Purple Black Green\nPurple Black Orange Black Red Black Purple Black Orange Black\nBlack Green Black Gray Black Blue Black Brown Black Orange\nGray Black Gray Black Orange Black Yellow Black Purple Black\nBlack Green Black Purple Black Purple Black Orange Black Purple\nPink Black Orange Black Orange Black Gray Black Gray Black\nBlack Orange Black Orange Black Green Black Yellow Black Gray\nYellow Black Orange Black Orange Black Green Black Yellow Black\n\n\nExample 2\nInput:\nBlack Red Black Brown Black Orange Black Purple Black Red\nGreen Black Red Black Purple Black Yellow Black Green Black\nBlack Green Black Gray Black Brown Black Purple Black Purple\nPink Black Orange Black Brown Black Yellow Black Red Black\nBlack Pink Black Brown Black Pink Black Pink Black Gray\nOrange Black Brown Black Pink Black Orange Black Pink Black\nBlack Blue Black Brown Black Green Black Orange Black Pink\nYellow Black Blue Black Orange Black Yellow Black Blue Black\nBlack Gray Black Purple Black Green Black Blue Black Gray\nBlue Black Purple Black Blue Black Blue Black Purple Black\n\nOutput:\nBlack Red Black Purple Black Yellow Black Green Black Red\nGreen Black Gray Black Brown Black Purple Black Purple Black\nBlack Orange Black Brown Black Yellow Black Red Black Purple\nPink Black Brown Black Pink Black Pink Black Gray Black\nBlack Brown Black Pink Black Orange Black Pink Black Gray\nBlue Black Brown Black Green Black Orange Black Pink Black\nBlack Blue Black Orange Black Yellow Black Blue Black Pink\nGray Black Purple Black Green Black Blue Black Gray Black\nBlack Purple Black Blue Black Blue Black Purple Black Gray\nBlue Black Purple Black Blue Black Blue Black Purple Black\n\n\nExample 3\nInput:\nBlack Yellow Black Blue Black Orange Black Brown Black Purple\nGreen Black Purple Black Purple Black Purple Black Gray Black\nBlack Red Black Purple Black Gray Black Yellow Black Orange\nOrange Black Pink Black Blue Black Orange Black Green Black\nBlack Green Black Yellow Black Red Black Brown Black Purple\nGray Black Orange Black Blue Black Gray Black Gray Black\nBlack Blue Black Orange Black Yellow Black Pink Black Red\nBrown Black Gray Black Brown Black Pink Black Blue Black\nBlack Orange Black Green Black Pink Black Blue Black Brown\nYellow Black Pink Black Green Black Purple Black Blue Black\n\nOutput:\nBlack Purple Black Purple Black Purple Black Gray Black Purple\nRed Black Purple Black Gray Black Yellow Black Orange Black\nBlack Pink Black Blue Black Orange Black Green Black Orange\nGreen Black Yellow Black Red Black Brown Black Purple Black\nBlack Orange Black Blue Black Gray Black Gray Black Purple\nBlue Black Orange Black Yellow Black Pink Black Red Black\nBlack Gray Black Brown Black Pink Black Blue Black Red\nOrange Black Green Black Pink Black Blue Black Brown Black\nBlack Pink Black Green Black Purple Black Blue Black Brown\nYellow Black Pink Black Green Black Purple Black Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Black Brown Black Orange Black Orange Black Green\nGray Black Pink Black Pink Black Red Black Green Black\nBlack Brown Black Brown Black Orange Black Blue Black Green\nGray Black Gray Black Purple Black Pink Black Gray Black\nBlack Gray Black Orange Black Pink Black Orange Black Brown\nPink Black Pink Black Brown Black Brown Black Orange Black\nBlack Brown Black Pink Black Gray Black Yellow Black Orange\nGray Black Gray Black Yellow Black Red Black Red Black\nBlack Blue Black Pink Black Blue Black Purple Black Purple\nGreen Black Pink Black Blue Black Purple Black Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Black Pink Black Red Black Green Black Green\nBrown Black Brown Black Orange Black Blue Black Green Black\nBlack Gray Black Purple Black Pink Black Gray Black Green\nGray Black Orange Black Pink Black Orange Black Brown Black\nBlack Pink Black Brown Black Brown Black Orange Black Brown\nBrown Black Pink Black Gray Black Yellow Black Orange Black\nBlack Gray Black Yellow Black Red Black Red Black Orange\nBlue Black Pink Black Blue Black Purple Black Purple Black\nBlack Pink Black Blue Black Purple Black Pink Black Purple\nGreen Black Pink Black Blue Black Purple Black Pink Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Blue Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue\nBlue Blue Blue Black Blue Blue Blue Black Blue Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Blue Blue Black Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black\nBlue Blue Black Black Blue Blue Black Blue Black Blue Black Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Black Black Black Black Blue Blue Black Black\nBlue Black Black Blue Blue Black Black Black Black Blue Black Black Blue Black Black\nBlue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Black Black Black Black\nBlue Black Black Black Blue Black Blue Black Blue Blue Blue Blue Black Black Black\nBlue Black Blue Black Black Black Blue Black Blue Blue Black Black Blue Black Black\nBlue Blue Blue Blue Black Black Blue Black Blue Blue Black Black Black Blue Blue\nBlue Black Blue Red Red Red Blue Blue Blue Black Blue Blue Black Black Black\nBlue Black Blue Red Red Red Black Black Blue Blue Black Blue Blue Black Blue\nBlack Black Blue Red Red Red Blue Black Black Blue Blue Black Blue Blue Blue\nBlue Blue Black Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue Black\n\nOutput:\nBlack Black Blue Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue\nBlue Blue Blue Black Blue Blue Blue Black Blue Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Blue Blue Black Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black\nBlue Blue Black Black Blue Blue Black Blue Black Blue Black Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Black Black Black Black Blue Blue Black Black\nBlue Black Black Blue Blue Black Black Black Black Blue Black Black Blue Black Black\nBlue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Black Black Black Black\nBlue Black Black Black Blue Black Blue Black Blue Blue Blue Blue Black Black Black\nBlue Black Blue Black Black Black Blue Black Blue Blue Black Black Blue Black Black\nBlue Blue Blue Blue Black Black Blue Black Blue Blue Black Black Black Blue Blue\nBlue Black Blue Yellow Yellow Yellow Blue Blue Blue Black Blue Blue Black Black Black\nBlue Black Blue Yellow Yellow Yellow Black Black Blue Blue Black Blue Blue Black Blue\nBlack Black Blue Yellow Yellow Yellow Blue Black Black Blue Blue Black Blue Blue Blue\nBlue Blue Black Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue Black\n\n\nExample 2\nInput:\nGreen Black Black Green Green Green Red Red Red Green Green Green Black Green Black\nGreen Green Green Black Black Black Red Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Black Red Red Red Black Black Black Green Black Green\nBlack Black Black Green Green Green Black Black Green Black Green Black Green Black Green\nGreen Green Black Green Green Black Black Black Green Green Green Black Black Green Black\nGreen Green Black Green Green Black Green Green Black Green Green Green Black Black Green\nBlack Black Green Green Black Black Black Green Green Green Green Green Black Green Black\nBlack Black Black Black Green Black Green Black Green Green Black Black Green Black Green\nGreen Black Green Black Green Green Black Black Black Green Black Green Black Green Black\nGreen Black Green Green Black Black Black Black Green Black Black Green Green Green Black\nGreen Black Black Black Black Black Green Green Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Black Black Black Black Green Green Black\nBlack Green Black Green Green Green Green Black Black Green Black Green Green Green Green\nGreen Green Black Green Black Black Green Green Green Green Green Black Green Black Green\nGreen Black Black Black Green Black Black Green Green Green Green Black Green Black Black\n\nOutput:\nGreen Black Black Green Green Green Yellow Yellow Yellow Green Green Green Black Green Black\nGreen Green Green Black Black Black Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Black Yellow Yellow Yellow Black Black Black Green Black Green\nBlack Black Black Green Green Green Black Black Green Black Green Black Green Black Green\nGreen Green Black Green Green Black Black Black Green Green Green Black Black Green Black\nGreen Green Black Green Green Black Green Green Black Green Green Green Black Black Green\nBlack Black Green Green Black Black Black Green Green Green Green Green Black Green Black\nBlack Black Black Black Green Black Green Black Green Green Black Black Green Black Green\nGreen Black Green Black Green Green Black Black Black Green Black Green Black Green Black\nGreen Black Green Green Black Black Black Black Green Black Black Green Green Green Black\nGreen Black Black Black Black Black Green Green Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Black Black Black Black Green Green Black\nBlack Green Black Green Green Green Green Black Black Green Black Green Green Green Green\nGreen Green Black Green Black Black Green Green Green Green Green Black Green Black Green\nGreen Black Black Black Green Black Black Green Green Green Green Black Green Black Black\n\n\nExample 3\nInput:\nBlack Black Green Black Green Black Green Green Black Green Green Black Black Green Green\nGreen Green Green Green Black Green Black Black Green Black Green Green Green Green Black\nBlack Black Green Green Green Black Green Black Green Black Green Black Green Green Green\nGreen Green Green Black Black Black Black Red Red Red Green Green Black Black Green\nBlack Green Green Green Green Black Black Red Red Red Black Black Black Black Green\nBlack Black Green Green Green Black Green Red Red Red Green Green Green Black Green\nBlack Black Black Green Green Green Green Black Green Black Green Black Green Green Green\nBlack Black Green Black Black Green Black Black Green Green Green Green Green Green Black\nGreen Green Black Black Black Green Green Green Black Green Black Black Black Black Black\nBlack Black Black Black Green Green Black Green Black Green Black Green Black Green Black\nBlack Black Black Green Black Black Green Black Green Green Green Green Green Green Black\nGreen Green Green Black Green Green Black Green Black Green Black Green Black Black Black\nGreen Black Green Green Green Black Green Black Green Black Black Black Black Green Green\nBlack Black Black Black Green Green Green Black Green Black Green Black Black Black Black\nGreen Black Green Green Black Black Green Green Green Black Black Black Green Green Green\n\nOutput:\nBlack Black Green Black Green Black Green Green Black Green Green Black Black Green Green\nGreen Green Green Green Black Green Black Black Green Black Green Green Green Green Black\nBlack Black Green Green Green Black Green Black Green Black Green Black Green Green Green\nGreen Green Green Black Black Black Black Yellow Yellow Yellow Green Green Black Black Green\nBlack Green Green Green Green Black Black Yellow Yellow Yellow Black Black Black Black Green\nBlack Black Green Green Green Black Green Yellow Yellow Yellow Green Green Green Black Green\nBlack Black Black Green Green Green Green Black Green Black Green Black Green Green Green\nBlack Black Green Black Black Green Black Black Green Green Green Green Green Green Black\nGreen Green Black Black Black Green Green Green Black Green Black Black Black Black Black\nBlack Black Black Black Green Green Black Green Black Green Black Green Black Green Black\nBlack Black Black Green Black Black Green Black Green Green Green Green Green Green Black\nGreen Green Green Black Green Green Black Green Black Green Black Green Black Black Black\nGreen Black Green Green Green Black Green Black Green Black Black Black Black Green Green\nBlack Black Black Black Green Green Green Black Green Black Green Black Black Black Black\nGreen Black Green Green Black Black Green Green Green Black Black Black Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Green Green Black Green Black Green Black Black Black Green Green Black Black\nGreen Green Green Black Black Black Green Green Black Black Black Green Black Green Black\nGreen Green Green Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Green Green Black Black Green Black\nGreen Green Green Green Black Black Black Black Green Green Green Black Black Black Green\nGreen Green Black Black Green Green Black Black Black Green Black Green Black Green Green\nGreen Red Red Red Black Black Green Black Green Black Green Black Green Green Green\nGreen Red Red Red Green Green Black Green Green Black Black Green Black Black Black\nGreen Red Red Red Green Green Green Black Black Green Green Green Black Black Green\nGreen Black Black Black Black Green Green Black Green Green Black Black Green Black Black\nGreen Black Green Black Black Green Black Green Black Green Green Green Black Green Black\nGreen Black Black Black Green Green Green Green Black Black Green Green Black Green Black\nGreen Green Green Green Green Green Green Green Green Black Green Black Green Green Black\nGreen Green Green Black Black Green Black Green Green Black Green Green Black Green Green\nBlack Green Black Black Black Black Black Black Green Black Green 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 Green Green Black Green Black Green Black Black Black Green Green Black Black\nGreen Green Green Black Black Black Green Green Black Black Black Green Black Green Black\nGreen Green Green Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Green Green Black Black Green Black\nGreen Green Green Green Black Black Black Black Green Green Green Black Black Black Green\nGreen Green Black Black Green Green Black Black Black Green Black Green Black Green Green\nGreen Yellow Yellow Yellow Black Black Green Black Green Black Green Black Green Green Green\nGreen Yellow Yellow Yellow Green Green Black Green Green Black Black Green Black Black Black\nGreen Yellow Yellow Yellow Green Green Green Black Black Green Green Green Black Black Green\nGreen Black Black Black Black Green Green Black Green Green Black Black Green Black Black\nGreen Black Green Black Black Green Black Green Black Green Green Green Black Green Black\nGreen Black Black Black Green Green Green Green Black Black Green Green Black Green Black\nGreen Green Green Green Green Green Green Green Green Black Green Black Green Green Black\nGreen Green Green Black Black Green Black Green Green Black Green Green Black Green Green\nBlack Green Black Black Black Black Black Black Green Black Green Green Green Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Blue\nRed Red\n\nOutput:\nBlue Red\nRed Red\n\n\nExample 2\nInput:\nRed Blue\nBlue Red\n\nOutput:\nBlue Red\nRed Blue\n\n\nExample 3\nInput:\nRed Red\nRed Blue\n\nOutput:\nRed Red\nBlue Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Red\nBlue 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 Blue\nRed Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Red Red Red Red Red Yellow\nYellow Black Black Black Black Black Red Red Red Red Yellow\nYellow Black Black Black Black Black Red Red Red Red Yellow\nYellow Black Black Black Black Red Red Red Red Red Yellow\nYellow Red Black Black Red Red Red Red Red Red Yellow\nYellow Red Red Red Red Red Red Red Red Red Yellow\nYellow Red Red Red Red Red Red Red Red Red Yellow\nYellow Red Red Red Red Red Red Red Red Red Yellow\nYellow Red Red Red Red Red Red Red Red Red Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Red Red Red Red\nYellow Yellow Yellow Yellow Red Red Red Red Red\nRed Yellow Yellow 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\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Green Green Green Green Black Brown\nBrown Green Green Black Black Green Green Brown\nBrown Green Green Black Black Green Green Brown\nBrown Green Green Green Green Green Green Brown\nBrown Green Green Green Green Green Green Brown\nBrown Green Green Green Green Green Green Brown\nBrown Black Green Green Green Green Black Brown\nBrown Black Green Green Green Green Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Green Green Green Green Brown\nGreen Green Brown Brown Green Green\nGreen Green Brown Brown Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nBrown Green Green Green Green Brown\nBrown Green Green Green Green Brown\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Red Red Red Red Black Black Black Gray\nGray Red Red Red Red Red Black Black Gray\nGray Black Red Red Red Red Red Black Gray\nGray Black Red Red Red Red Red Red Gray\nGray Red Red Black Red Red Red Red Gray\nGray Red Red Red Red Red Red Red Gray\nGray Black Red Red Black Black Red Red Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nRed Red Red Red Gray Gray Gray\nRed Red Red Red Red Gray Gray\nGray Red Red Red Red Red Gray\nGray Red Red Red Red Red Red\nRed Red Gray Red Red Red Red\nRed Red Red Red Red Red Red\nGray Red Red Gray Gray Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Brown Black Black Brown Brown Black Black Black Brown Brown Red\nRed Brown Brown Brown Brown Brown Black Black Black Brown Black Red\nRed Black Black Black Brown Brown Brown Brown Black Brown Black Red\nRed Black Black Brown Brown Brown Brown Brown Brown Brown Brown Red\nRed Black Black Brown Brown Brown Brown Brown Brown Brown Brown Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Black Black Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Black Black Red\nRed Black Brown Black Brown Brown Brown Brown Black Black Black Red\nRed Black Brown Black Black Black Brown Brown Brown Brown Brown Red\nRed Brown Brown Black Black Black Brown Brown Black Black Brown Red\nRed Red Red Red Red Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Red Red Brown Brown Red Red Red Brown Brown\nBrown Brown Brown Brown Brown Red Red Red Brown Red\nRed Red Red Brown Brown Brown Brown Red Brown Red\nRed Red Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Red Red\nRed Brown Red Brown Brown Brown Brown Red Red Red\nRed Brown Red Red Red Brown Brown Brown Brown Brown\nBrown Brown Red Red Red Brown Brown Red Red 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 Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Red Red Black Black Black Black Orange Orange\nBlack Black Black Black Black Red Red Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Orange Orange Black Black Black\nBlack Purple Orange Orange Pink Pink Black Black Orange Orange Black Black Black\nBlack Purple Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Brown Brown Black Black\nBlack Black Black Black Black Orange Orange Black Black Brown Brown Black Black\nBlack Black 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 Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Red Red Black Black Black Black Gray Gray\nBlack Black Black Black Black Red Red Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Gray Gray Black Black Black\nBlack Purple Gray Gray Pink Pink Black Black Gray Gray Black Black Black\nBlack Purple Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Green Green Black Black\nBlack Black Black Black Black Gray Gray Black Black Green Green Black Black\nBlack Black 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 Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Orange Orange Black Black Black Black Black\nBlack Black Purple Purple Black Orange Orange Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Orange\nBlack Green Green Black Black Red Red Black Black Black Orange Orange\nBlack Green Green Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Gray Gray Black Black Black Black Black\nBlack Black Purple Purple Black Gray Gray Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Gray\nBlack Brown Brown Black Black Red Red Black Black Black Gray Gray\nBlack Brown Brown Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Green Green Blue Black Black Black\nBlack Gray Gray Black Purple Purple Green Green Black Black Black Black\nBlack Gray Gray Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Orange Orange Red Red Black Black Black Black Black\nBlack Yellow Yellow Orange Orange Black Black Black Black Black Black Black\nBlack Yellow Blue Blue Green Green Black Black Black Black Black Black\nBlack Black Blue Blue Green Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Black Black Black\nBlack Orange Orange Black Purple Purple Brown Brown Black Black Black Black\nBlack Orange Orange Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Gray Gray Red Red Black Black Black Black Black\nBlack Blue Blue Gray Gray Black Black Black Black Black Black Black\nBlack Blue Yellow Yellow Brown Brown Black Black Black Black Black Black\nBlack Black Yellow Yellow Brown Brown Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Pink Brown Brown Black Black Black\nBlack Pink Pink Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Green Pink Pink Brown Brown Gray Black Black Black Black\nBlack Black Black Black Green Pink Pink Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Brown Brown 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 Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Pink Green Green Black Black Black\nBlack Pink Pink Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Brown Pink Pink Green Green Orange Black Black Black Black\nBlack Black Black Black Brown Pink Pink Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green 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:\nGreen Green Purple Blue Orange Green\nOrange Orange Black Red Purple Blue\nOrange Purple Gray Pink Blue Black\nOrange Black Blue Orange Brown Orange\nOrange Green Green Brown Orange Pink\nGray Purple Black Brown Pink Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue 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\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:\nOrange Blue Orange Pink Brown\nBlue Purple Blue Brown Blue\nBrown Blue Blue Blue Brown\nBlack Orange Red Gray Blue\nPink Green Red Blue Yellow\n\nOutput:\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue Black Black Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\n\n\nExample 3\nInput:\nGray Orange Blue Black Purple Blue Yellow\nRed Blue Orange Green Blue Blue Blue\nPurple Blue Blue Yellow Blue Blue Black\nBlue Pink Blue Orange Pink Purple Blue\nBlue Green Blue Blue Blue Yellow Brown\n\nOutput:\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Pink Red Orange Gray Blue\nPurple Blue Blue Blue Orange Purple Red\nBrown Black Blue Blue Red Blue Gray\nBlue Pink Orange Orange Blue Blue Blue\nBlue Pink Pink Pink Orange Blue Brown\nPink Gray Pink Gray Blue Blue Blue\nGray Brown Pink Green Gray Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\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 Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack 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\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 Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Green Green Black Black Green Green Green Green Black Black Black Black\nGreen Green Black Black Green Green Black Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Green Green Green Green Black Black Green Green\nGreen Green Green Green Green Green Black Black Green Green Green Green Black Black Green Green\nBlack Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green\n\nOutput:\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow 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\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow 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 Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Green Green Green Black Black Green Green\nBlack Black Green Green Black Black Green Green Green Green Black Black Green Green\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\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Green Green Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Green Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink\n\n\nExample 3\nInput:\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray 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 Green Black Black\nBlack Black Black Black Orange Orange Black Green Black Black\nBlack Black Black Black Blue Black Blue Blue Black Black\nBlue Blue Blue Black Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Orange Orange Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Blue Blue Black Brown Black Black\nBlack Black Black Black Orange Black Orange Orange Black Black\nOrange Orange Orange Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Blue Blue Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Red Brown Black Black Black Black\nBlack Black Brown Black Black Brown Black Yellow Black Black\nBlack Black Black Black Black Brown Green Blue Black Black\nBlack Black Black Black Blue Blue Black Blue Black Black\nBlack Blue Black Black Black Purple 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Purple Green Black Black Black Black\nBlack Black Green Black Black Green Black Gray Black Black\nBlack Black Black Black Black Green Brown Orange Black Black\nBlack Black Black Black Orange Orange Black Orange Black Black\nBlack Orange Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Blue Black Black Black Pink Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\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 Orange Red Red Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nOrange Brown Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Purple Purple Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black 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```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Orange Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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\nGray 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\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Purple Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Black Black Brown Gray Gray Black Purple Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray\nGray Gray Gray Pink Pink Pink Pink Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray\nGray Gray Gray Pink Pink Pink Pink 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 Black Black Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Pink Black Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Black Black\n\nOutput:\nGray 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\nGray 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\nGray 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\nGray 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 Brown Brown Brown Brown Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Black Black Brown Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Gray\nGray 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\nGray 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\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Black Blue Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Black Black Gray Gray Red Red Red Red Gray Gray\nBlack Blue Black Black Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray\nBlue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray\nBlue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray\nBlack Blue Black Black Blue Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Orange Black Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Orange Orange Orange 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\nGray 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\n\nOutput:\nGray 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\nGray 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\nGray 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\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Orange Black Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Orange Orange Orange 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\nGray 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\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Red Red Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Red Red Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Red Red Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Red Red Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Red Red Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Red Red Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Brown Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Brown Brown Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Brown Brown Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Black Brown Gray Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Black Black Black Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Purple\nBlack Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Purple Black Purple Black\nBlack Black Black Purple Black Black Black Purple\nBlack Black Purple Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Orange Black Black Black Black Black Orange\nBlack Black Orange Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Black\nBlack Black Black Black Gray Black Black Black Black Black Gray\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Pink\nBlack Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Pink Black Black Black Pink\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black\nOrange Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Orange Black Black Black Black Black Black Black\nOrange Orange Black Black Orange Black Black Black Black Black Black Black Black\nOrange Black Orange Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black\nOrange Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Orange Black Black Black Black Black Black Black\nOrange Orange Black Black Orange Black Black Black Black Black Black Black Black\nOrange Black Orange Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nRed Red Red Red Orange Orange 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 Orange Orange Black Black Black Black Black Black Black Black\nBlack Orange Black Black Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Orange Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Orange Black Black Black Black Black Black Black Black\nBlack Orange Black Black Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Orange Black Black Black Black Black Black\nRed Orange Orange Orange Black Orange Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Gray Red Red Gray Red Red Red Red Red Red\nGray Gray Gray Red Red Red Red Red Red Red Red Red\nRed Red Gray Red Gray Gray Red Red Red Red Red Red\nRed Red Red Gray Gray Gray Red Red Red Red Red Red\nRed Gray Red Red Red Red Red Red Red Red Red Red\nRed Red Gray Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Gray Red Red Red Red Red Red\nRed Red Red Gray Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Pink Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Pink Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Pink Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink 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 Pink Black Pink Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Pink Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Pink 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 Pink 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\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 Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Gray Gray Gray Black\nBlack Black Gray Black Black\nBlack 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 Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Orange Orange Orange Black\nBlack Black Orange Orange Black\nBlack Orange Orange Orange Black\nBlack 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 Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Green Black Black Black\nBlack Black Black Black Green 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 Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Green Green Green Green Green Black\nBlack Black Green Green Black Green Black\nBlack Black Black Green Black Black Black\nBlack Black Green Green Black Green Black\nBlack Green Green Green Green Green Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Brown Brown Black 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink 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\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nPink 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\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\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\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow 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\nYellow Yellow Yellow 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\nYellow Yellow Yellow 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black\n\nOutput:\nBlack Orange Orange Orange Black Orange Orange Orange Black\nBlack Orange Orange Orange Black Orange Orange Orange Black\nBlack Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Orange Orange Black Black\nBlack Black Orange Orange Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Orange Orange Black\nBlack Black Black Orange Orange Orange Black Orange Orange 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\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Orange Black\nBlack Orange Orange Black Black Black Orange Orange Orange Black\nBlack Orange Orange Black Black Black Orange Orange Orange Black\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange 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 Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow\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 Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Orange Orange Black\nOrange Orange Orange Black Orange Orange Orange Black\nOrange Orange Orange Black Orange Orange Orange 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:\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green 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 Red Red Red Red Red 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 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 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 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Red Red Red Red Red\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple 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 Pink Pink Pink Pink Pink Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Pink Pink Pink Pink Pink Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Pink Pink Pink Pink Pink Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Pink Pink Pink Pink Pink Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Pink Pink Pink Pink Pink Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange 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 Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black 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 Green Green Green Green Green\nBlack Black Black Black Black Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange 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 Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nPurple Purple Purple Purple Black Black Gray Gray Black Black Yellow Yellow\nPurple Purple Purple Purple Black Black Gray Gray Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Red Red Red Red\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Red Red Red Red\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 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 Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow 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\nBlack 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\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue 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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\nOutput:\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nPurple Purple Black Black Black Black Pink Pink Pink Pink Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Pink Pink Pink Pink Black Black Black Black Blue Blue\nPurple Purple Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Blue Blue\nPurple Purple Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Blue Blue\nPurple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nPurple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nPurple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nPurple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue\nPurple Purple Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Blue Blue\nPurple Purple Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Blue Blue\nPurple Purple Black Black Black Black Pink Pink Pink Pink Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Pink Pink Pink Pink Black Black Black Black Blue Blue\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBrown Brown Black Black Black Black Black Black Black Black Black Black Pink Pink\nBrown Brown Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Gray Gray\nPurple Purple Black Black Black Black Black Black Black Black Black Black Gray Gray\n\nOutput:\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nPink Pink Black Black Yellow Yellow Black Black Yellow Yellow Black Black Gray Gray\nPink Pink Black Black Yellow Yellow Black Black Yellow Yellow Black Black Gray Gray\nPink Pink Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Gray Gray\nPink Pink Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Gray Gray\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray\nPink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Gray Gray\nPink Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Gray Gray\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\n\n\nExample 3\nInput:\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\nOutput:\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nGray Gray Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Blue Blue\nGray Gray Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Blue Blue\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue\nGray Gray Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Blue Blue\nGray Gray Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown Blue Blue\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Orange Orange\nYellow Yellow Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Orange Orange\nYellow Yellow Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Orange Orange\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red 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:\nOrange Black Orange Orange Orange Black Orange Black Black Orange Orange Black Orange Black Orange Black Orange Orange Orange Orange\nBlack Orange Orange Orange Black Orange Orange Black Black Orange Black Black Orange Orange Black Orange Orange Orange Orange Black\nOrange Orange Black Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Orange Black Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange\nBlack Orange Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange\nOrange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Black Black Orange Black Orange Black Orange Orange Orange Black Orange Orange Orange\nBlack Orange Orange Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Orange Orange Orange Black Black Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black Orange Black Orange Orange Orange Orange Orange Black Orange Black\nOrange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Black\nBlack Black Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Orange Orange Black Black Orange Orange Orange\nOrange Black Black Black Orange Black Orange Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Black Orange Orange Black Orange\nBlack Orange Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Black Black Black Orange Orange Orange Black\nOrange Orange Black Orange Black Orange Orange Black Orange Black Orange Orange Black Black Orange Orange Black Orange Orange Orange\nBlack Orange Black Orange Orange Orange Orange Black Orange Black Orange Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Black Orange Orange Orange\nBlack Red Orange Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black\nOrange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Black Orange Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Blue Orange Black Black 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 Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Black Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Black\nYellow Yellow Black Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Black\nYellow Yellow Black Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Black Black Yellow Yellow Black Yellow Yellow Black\nBlack Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nYellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black\nYellow Yellow Yellow Black Black Yellow Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Black Black Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Red Yellow Yellow Black Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Black Black Yellow Black Yellow\nYellow Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Black Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black 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 Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Black\nYellow Yellow Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black\nYellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Black Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Black Black Black Yellow Black\nYellow Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Red Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Blue Yellow 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink 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\nPink Black Black Black Pink Black Black Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink\nBlack Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black\nBlack Pink Black Black Pink Pink Pink Pink Pink Black Pink Black Pink Pink Black Black Black Pink Black Pink\nPink Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black Pink Black 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 Pink Black Pink Pink Black Pink Pink Black Black Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Black Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Pink Black Pink\nBlack Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink 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 Pink Black Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black Pink Pink Black Black Black\nPink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Pink Pink Black Pink Black Black\nPink Red Black Pink Black Pink Pink Pink Pink Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink\nBlack Pink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Blue Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Green Black Black Black Black Black Black Black\nBlack Blue Black Green Black Green Black Blue Black Black Black Black Black\nBlack Orange Orange Blue Black Blue Orange Orange Black Black Black Black Black\nBlack Black Orange Black Purple Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Yellow Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Green Black Green Black Blue Black Black Black Black Black\nBlack Blue Black Green Black Green Black Blue Black Black Black Black Black\nBlack Orange Orange Blue Black Blue Orange Orange Black Black Black Black Black\nBlack Black Orange Black Purple Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Pink Black Pink Green Black\nBlack Black Black Black Black Green Blue Blue Purple Black Blue Green\nBlack Black Black Black Black Pink Pink Black Purple Black Pink Pink\nBlack Black Black Black Black Black Black Pink Purple Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Purple 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 Green Green Pink Black Pink Green Green\nBlack Black Black Black Black Green Blue Blue Purple Blue Blue Green\nBlack Black Black Black Black Pink Pink Black Purple Black Pink Pink\nBlack Black Black Black Black Black Pink Pink Purple Pink Pink Black\nBlack Black Black Black Black Black Black Purple Black Purple Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Brown Black Black Red Black Black Black Black Black Black\nBlack Black Red Red Orange Orange Orange Red Red Black Black Black Black Black\nBlack Black Black Red Gray Black Gray Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Orange Red Black Black Red Black Orange 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 Red Brown Black Brown Red Black Black Black Black Black Black\nBlack Black Red Red Orange Orange Orange Red Red Black Black Black Black Black\nBlack Black Black Red Gray Black Gray Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Red Red Black Black Black Black Black Black\nBlack Black Orange Red Red Black Red Red Orange Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Red Blue Black Black Blue Red Black Black\nBlack Black Black Black Black Black Yellow Blue Green Green Black Yellow Black Black\nBlack Black Black Black Black Black Blue Pink Pink Pink Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Black Pink Orange Black Black Black\nBlack Black Black Black Black Black Purple Blue Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Blue Black Black Blue Red Black Black\nBlack Black Black Black Black Black Yellow Blue Green Green Blue Yellow Black Black\nBlack Black Black Black Black Black Blue Pink Pink Pink Pink Blue Black Black\nBlack Black Black Black Black Black Black Purple Pink Pink Purple Black Black Black\nBlack Black Black Black Black Black Purple Orange Pink Pink Orange Purple Black Black\nBlack Black Black Black Black Black Purple Blue Black Black Blue Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Purple Black Black Black Black\nPurple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange 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 Gray Black Black Black Black\nBlack Black Gray Gray Black Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black 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\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 Gray Black Black Black Black\nGray Gray Black Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Purple Purple Purple Black Black Black Purple Purple Purple Green Green Green Brown Brown Brown Red Red Red Green Green Green\nBlue Blue Blue Purple Purple Purple Black Black Black Purple Purple Purple Green Green Green Brown Brown Brown Red Red Red Green Green Green\nBlue Blue Blue Purple Purple Purple Black Black Black Purple Purple Purple Green Green Green Brown Brown Brown Red Red Red Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Yellow Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Red Red Red Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Red Red Red Gray Gray Gray\nYellow Yellow Yellow Gray Gray Gray Black Black Black Blue Blue Blue Purple Purple Purple Blue Blue Blue Red Red Red Gray Gray Gray\nYellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Purple Purple Purple\nYellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Purple Purple Purple\nYellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Purple Purple Purple\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Orange Orange Orange Black Black Black\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Orange Orange Orange Black Black Black\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Orange Orange Orange Black Black Black\nBlack Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlue Blue Blue Purple Purple Purple Black Black Black Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Purple Purple Purple Black Black Black Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Purple Purple Purple Black Black Black Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Gray Gray Gray Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Purple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Brown Brown Brown Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\n\n\nExample 2\nInput:\nGray Gray Gray Blue Blue Blue Brown Brown Brown Green Green Green Black Black Black Black Black Black Green Green Green\nGray Gray Gray Blue Blue Blue Brown Brown Brown Green Green Green Black Black Black Black Black Black Green Green Green\nGray Gray Gray Blue Blue Blue Brown Brown Brown Green Green Green Black Black Black Black Black Black Green Green Green\nPurple Purple Purple Green Green Green Brown Brown Brown Blue Blue Blue Black Black Black Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Green Green Green Brown Brown Brown Blue Blue Blue Black Black Black Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Green Green Green Brown Brown Brown Blue Blue Blue Black Black Black Yellow Yellow Yellow Purple Purple Purple\nGray Gray Gray Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray\nGray Gray Gray Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray\nGray Gray Gray Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Red Red Red Yellow Yellow Yellow\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Red Red Red Yellow Yellow Yellow\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Blue Blue Blue Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Blue Blue Blue Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Purple Purple Purple Pink Pink Pink Orange Orange Orange Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Pink Pink Pink Orange Orange Orange Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Pink Pink Pink Orange Orange Orange Green Green Green Black Black Black Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black\nRed Red Red Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black\nRed Red Red Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black\n\nOutput:\nGray Gray Gray Blue Blue Blue Brown Brown Brown Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Brown Brown Brown Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Blue Blue Blue Brown Brown Brown Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Green Green Green Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Green Green Green Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Green Green Green Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Orange Orange Orange Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Orange Orange Orange Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Orange Orange Orange Brown Brown Brown\nBlue Blue Blue Black Black Black Orange Orange Orange Red Red Red Purple Purple Purple Black Black Black Orange Orange Orange Gray Gray Gray Pink Pink Pink\nBlue Blue Blue Black Black Black Orange Orange Orange Red Red Red Purple Purple Purple Black Black Black Orange Orange Orange Gray Gray Gray Pink Pink Pink\nBlue Blue Blue Black Black Black Orange Orange Orange Red Red Red Purple Purple Purple Black Black Black Orange Orange Orange Gray Gray Gray Pink Pink Pink\nYellow Yellow Yellow Red Red Red Green Green Green Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Green Green Green Black Black Black\nYellow Yellow Yellow Red Red Red Green Green Green Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Green Green Green Black Black Black\nYellow Yellow Yellow Red Red Red Green Green Green Purple Purple Purple Orange Orange Orange Blue Blue Blue Black Black Black Green Green Green Black Black Black\n\nOutput:\nBlack Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown\nBlue Blue Blue Black Black Black Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Green Green Green Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Green Green Green Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Green Green Green Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Gray Gray Gray Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Gray Gray Gray Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Gray Gray Gray Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Orange Orange Orange Purple Purple Purple Brown Brown Brown Gray Gray Gray Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Brown Brown Brown Gray Gray Gray Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Brown Brown Brown Gray Gray Gray Black Black Black Green Green Green Black Black Black Black Black Black\nPink Pink Pink Red Red Red Black Black Black Black Black Black Red Red Red Orange Orange Orange Pink Pink Pink Black Black Black Blue Blue Blue\nPink Pink Pink Red Red Red Black Black Black Black Black Black Red Red Red Orange Orange Orange Pink Pink Pink Black Black Black Blue Blue Blue\nPink Pink Pink Red Red Red Black Black Black Black Black Black Red Red Red Orange Orange Orange Pink Pink Pink Black Black Black Blue Blue Blue\nYellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink Brown Brown Brown\nYellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink Brown Brown Brown\nYellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink Brown Brown Brown\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray Orange Orange Orange Red Red Red\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray Orange Orange Orange Red Red Red\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray Orange Orange Orange Red Red Red\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Green Green Green Orange Orange Orange Black Black Black Green Green Green Red Red Red Black Black Black\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Green Green Green Orange Orange Orange Black Black Black Green Green Green Red Red Red Black Black Black\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Green Green Green Orange Orange Orange Black Black Black Green Green Green Red Red Red Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Pink Pink Pink Brown Brown Brown Black Black Black Blue Blue Blue\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Pink Pink Pink Brown Brown Brown Black Black Black Blue Blue Blue\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Pink Pink Pink Brown Brown Brown Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black Brown Brown Brown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Gray Gray Gray Red Red Red Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Red Red Red Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Red Red Red Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Purple Purple Purple Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nPink Pink Pink Red Red Red Black Black Black Black Black Black Red Red Red Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Red Red Red Black Black Black Black Black Black Red Red Red Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Red Red Red Black Black Black Black Black Black Red Red Red Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Red Red Red\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Red Red Red\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Red Red Red\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Green Green Green Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Green Green Green Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Green Green Green Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Gray Gray Gray Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black 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 Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Red Red Red Black Green Black Black Green\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Pink Pink Black\nBlack Black Red Red Red Black Black Pink Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Yellow Yellow Yellow Yellow Black Black\nPink Pink Pink Black Yellow Yellow Yellow Yellow Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Red Black Black Black Black\nBlack Black Blue Blue Black Red Red Red Black Black\nBlack Black Blue Blue Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Green Green Black Black Black Black Pink Pink Pink\nBlack Green Black Black Black Black Black Pink Pink Pink\nBlack Green Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Red Black Yellow Yellow Black Black Red Red Black\nRed Red Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Red Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Yellow Black Black Black Black Red Red Red\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown 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 Orange Black\nBlack Black Black Black Black Black Orange 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Brown 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 Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Orange Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green 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 Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Green Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Blue Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Brown Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Blue Yellow Green Gray Black Green Black\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Blue Yellow Green Gray Black Green Black\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Blue Yellow Green Gray Black Green Black\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Blue Yellow Green Gray Black Green Black\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Blue Yellow Green Gray Black Green Black\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Green Yellow Green Gray Black Green Black\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Green Green Green Gray Black Green Black\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Green Green Green Gray Black Green Black\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Green Green Green Gray Black Green Black\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Green Green Green Gray Black Green Black\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Green Green Green Gray Black Black Black\nBlack Black Black Black Brown Black Blue Green Green Green Green Green Green Green Green Green Gray Black Black Black\nBlack Black Black Black Brown Black Black Black Green Green Green Green Green Green Green Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Yellow Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Green 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 Black Black Black Black Black Black\nBlack Black Black 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 Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Orange Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Gray Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Blue Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nPurple Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Orange Black Pink Green Green Green Green Green Green Green Green Orange Black Black Blue Black Gray Black\nPurple Black Orange Black Pink Green Green Green Green Green Green Green Green Orange Black Black Blue Black Gray Black\nPurple Black Orange Black Pink Green Green Green Green Green Green Green Green Orange Black Black Blue Black Gray Black\nPurple Black Orange Black Pink Green Green Green Green Green Green Green Green Orange Black Black Blue Black Gray Black\nPurple Black Orange Black Pink Green Green Green Green Green Green Green Green Orange Black Black Blue Black Gray Black\nPurple Black Orange Black Pink Green Green Green Green Green Green Green Green Orange Black Black Blue Black Gray Black\nPurple Black Orange Black Pink Green Green Green Green Green Green Green Green Green Black Black Blue Black Gray Black\nPurple Black Black Black Pink Green Green Green Green Green Green Green Green Green Black Black Blue Black Black Black\nPurple Black Black Black Pink Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nPurple Black Black Black Pink Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nPurple Black Black Black Pink Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Pink Black Green Green Green Green Green Green Green Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Green Green Green Green Green Black Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Pink Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Brown Black Gray Black Black Black Orange Green Pink Green Green Pink Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Orange Green Pink Green Green Pink Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Orange Green Pink Green Green Pink Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Orange Green Pink Green Green Pink Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Orange Green Pink Green Green Pink Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Orange Green Pink Green Green Pink Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Orange Green Pink Green Green Pink Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Orange Green Pink Green Green Pink Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Orange Green Pink Green Green Pink Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Black Green Pink Green Green Pink Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Brown Black Brown Black Gray Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Brown Black Brown Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Pink Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nRed Red Red Red Red Red Red Red Red Red\nBlue Red Black Black Black Black Black Black Blue Red\nBlue Red Black Black Black Black Black Black Blue Red\nBlue Red Black Black Black Black Black Black Blue Red\nBlue Red Black Black Black Black Black Black Blue Red\nBlue Red Black Black Black Black Black Black Blue Red\nBlue Red Black Black Black Black Black Black Blue Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red\nBlue Red Black Black Black Blue Red\nBlue Red Black Black Black Blue Red\nBlue Red Black Black Black Blue Red\nBlue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red\nBlue Red Black Black Black Black Black Blue Red\nBlue Red Black Black Black Black Black Blue Red\nBlue Red Black Black Black Black Black Blue Red\nBlue Red Black Black Black Black Black Blue Red\nBlue Red Black Black Black Black Black Blue Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nRed Red Red Red Red Red Red Red\nBlue Red Black Black Black Black Blue Red\nBlue Red Black Black Black Black Blue Red\nBlue Red Black Black Black Black Blue Red\nBlue Red Black Black Black Black Blue Red\nBlue Blue Blue Blue Blue Blue Blue Blue\nRed 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:\nYellow Yellow Purple Blue Blue Gray Yellow Gray Blue Purple\nBrown Brown Purple Gray Gray Brown Blue Yellow Brown Yellow\nBlue Brown Yellow Gray Purple Gray Brown Yellow Blue Blue\nBlue Purple Gray Brown Purple Brown Blue Brown Gray Blue\nYellow Yellow Gray Yellow Gray Gray Blue Gray Blue Brown\nBrown Blue Purple Brown Yellow Purple Blue Purple Purple Yellow\nYellow Yellow Brown Blue Blue Gray Blue Gray Gray Gray\nYellow Gray Blue Purple Blue Blue Purple Yellow Brown Blue\n\nOutput:\nYellow Yellow Blue Brown Blue Blue Blue Blue Purple Purple\nGray Gray Gray Brown Yellow Brown Blue Purple Gray Yellow\nPurple Blue Purple Yellow Blue Yellow Gray Purple Brown Blue\nGray Blue Brown Brown Yellow Yellow Yellow Purple Gray Blue\nBrown Blue Brown Yellow Blue Blue Brown Yellow Brown Brown\nYellow Yellow Yellow Blue Brown Purple Gray Gray Gray Yellow\nYellow Gray Purple Purple Gray Blue Blue Gray Purple Gray\nGray Brown Gray Purple Blue Gray Blue Brown Blue Blue\n\n\nExample 2\nInput:\nPink Orange Purple Pink Green Orange Purple\nGreen Pink Purple Pink Green Green Pink\nPurple Green Purple Pink Green Purple Green\nOrange Pink Orange Green Green Orange Pink\nOrange Green Pink Orange Purple Green Purple\nPink Purple Purple Purple Purple Orange Orange\nGreen Pink Purple Green Green Orange Purple\nPink Pink Purple Purple Green Pink Orange\nOrange Orange Pink Green Pink Green Green\nPink Purple Purple Orange Pink Pink Green\n\nOutput:\nPurple Purple Green Green Pink Pink Purple\nGreen Pink Purple Orange Pink Pink Pink\nGreen Purple Orange Pink Green Pink Green\nGreen Purple Orange Green Pink Pink Pink\nGreen Purple Purple Pink Green Green Purple\nPink Pink Green Orange Purple Orange Orange\nGreen Orange Pink Pink Pink Purple Purple\nPink Purple Purple Orange Pink Green Orange\nOrange Purple Purple Orange Green Purple Green\nOrange Green Orange Purple Green Orange Green\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Gray Gray\nPink Gray Pink Pink Pink Gray Pink\nGray Pink Pink Gray Pink Pink Pink\nGray Gray Pink Gray Gray Pink Pink\nPink Pink Gray Gray Gray Pink Gray\nGray Gray Pink Pink Gray Gray Pink\nGray Gray Gray Gray Gray Gray Pink\nPink Pink Gray Pink Gray Pink Pink\nGray Gray Pink Pink Pink Pink Pink\nGray Pink Pink Pink Gray Pink Gray\nPink Gray Pink Pink Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Pink Gray Gray\nGray Pink Pink Pink Pink Gray Pink\nPink Gray Pink Gray Gray Pink Pink\nPink Gray Gray Gray Pink Pink Pink\nPink Pink Gray Pink Gray Gray Gray\nGray Gray Pink Gray Pink Gray Pink\nPink Pink Pink Gray Gray Gray Pink\nPink Pink Gray Pink Gray Pink Pink\nPink Pink Pink Gray Pink Gray Pink\nGray Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Gray Red Brown Gray Brown Red Brown\nBrown Brown Gray Gray Brown Brown Gray Red Red\nGray Brown Red Brown Red Brown Brown Brown Brown\nBrown Red Gray Brown Brown Red Brown Red Red\nRed Brown Brown Red Gray Red Brown Brown Gray\nBrown Red Brown Gray Red Brown Red Red Brown\nBrown Red Brown Red Gray Red Gray Brown Red\nGray Red Red Gray Gray Brown Red Red Red\nGray Red Gray Red Gray Brown Gray Red 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 Red Gray Gray Brown Brown Red Red Brown\nRed Gray Red Gray Red Gray Gray Brown Red\nBrown Red Red Red Red Red Red Red Brown\nBrown Brown Brown Brown Gray Red Gray Brown Red\nBrown Brown Red Brown Gray Brown Brown Brown Gray\nGray Gray Brown Red Brown Gray Brown Brown Brown\nBrown Red Brown Red Gray Red Brown Brown Red\nRed Gray Gray Gray Red Gray Brown Red Red\nRed Brown Red Brown Red Brown Red Red Gray\n```",
"role": "assistant"
}
]
|
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