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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
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{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Blue Black Black Yellow Black\nBlack Black Black Black Black Blue Blue Black Yellow Yellow\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Green Black Orange Red Red Black\nBlack Black Black Black Green Green Orange Orange Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Green Blue Blue Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Green Yellow Black Black Black\nRed Orange Blue Green Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Green Black Black Black Black\nYellow Black Green Green Black Green Green 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 Green Yellow Black Black\nRed Green Yellow 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\nRed Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Yellow Black Green Black Black\nBlack Orange Orange Black Black Yellow Yellow Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\n\nOutput:\nBlack Black Black Yellow Black\nRed Green Orange Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\nBlack Green Black Black Black Black Orange Black Orange Black\nBlack Green Green Black Black Black Orange Orange Orange Orange\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"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Orange Black\nRed Blue Green Orange 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:\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Red Green Green Green Green Green\nGreen Green Green Green Red Green Green Green Green Green\nGreen Green Green Green Red Green Green Green Green Green\nGreen Green Green Green Red Green Green Green Green Green\nGreen Green Green Green Red Green Green Green Green Green\nGreen Green Green Green Red Green Green Green Green Green\nGreen Green Green Green Red Green Green Green Green Green\nGreen Green Green Green Red Green Green Green Green Green\nGreen Green Green Green Red Green Green Green Green Green\nGreen Green Green Green Red Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Red Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Purple Purple Black Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black Purple Black Purple Purple\nBlack Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Black Black\nPurple Purple Purple Black Purple Black Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Black Black Black Purple Black Purple Black Purple Purple Purple Purple Black Purple Black\nPurple Purple Purple Black Purple Purple Black Black Purple Purple Black Purple Black Purple Purple Black Purple Black Purple Purple\nBlack Purple Purple Purple Black Black Black Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Purple Black\nPurple Black Purple Purple Black Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Black Purple Black Black Black Purple\nPurple Purple Purple Black Black Purple Purple Purple Purple Purple Black Black Purple Black Purple Purple Purple Purple Black Black\nBlack Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple Purple Black Yellow Yellow Yellow Purple\nBlack Purple Black Purple Purple Purple Purple Purple Black Purple Black Black Purple Purple Purple Purple Yellow Yellow Yellow Black\nPurple Black Black Purple Purple Purple Black Purple Black Purple Purple Black Purple Purple Black Purple Yellow Yellow Yellow Black\nPurple Purple Purple Black Yellow Yellow Yellow Black Purple Black Purple Black Black Purple Purple Yellow Yellow Yellow Purple Purple\nBlack Purple Purple Purple Yellow Yellow Yellow Black Purple Purple Purple Black Purple Purple Black Yellow Yellow Yellow Black Purple\nPurple Purple Purple Black Yellow Yellow Yellow Purple Purple Purple Black Purple Black Purple Purple Yellow Yellow Yellow Purple Black\nPurple Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Purple Black\nPurple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple Black Black Purple Black\nPurple Purple Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple\nBlack Purple Purple Purple Purple Black Purple Purple Black Black Purple Black Black Purple Purple Black Purple Purple Purple Black\nPurple Purple Purple Purple Black Purple Black Purple Black Purple Purple Black Black Purple Black Purple Purple Purple Black Purple\n\nOutput:\nBlack Purple Purple Black Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black Purple Black Purple Purple\nBlack Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Black Black\nPurple Purple Purple Black Purple Black Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Black Black Black Purple Black Purple Black Purple Purple Purple Purple Black Purple Black\nPurple Purple Purple Black Purple Purple Black Black Purple Purple Black Purple Black Purple Purple Black Purple Black Purple Purple\nBlack Purple Purple Purple Black Black Black Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Purple Black\nPurple Black Purple Purple Black Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Black Purple Black Black Black Purple\nPurple Purple Purple Black Black Purple Purple Purple Purple Purple Black Black Purple Black Purple Purple Purple Purple Black Black\nBlack Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple Purple Black Green Green Green Purple\nBlack Purple Black Purple Purple Purple Purple Purple Black Purple Black Black Purple Purple Purple Purple Green Green Green Black\nPurple Black Black Purple Purple Purple Black Purple Black Purple Purple Black Purple Purple Black Purple Green Green Green Black\nPurple Purple Purple Black Green Green Green Black Purple Black Purple Black Black Purple Purple Green Green Green Purple Purple\nBlack Purple Purple Purple Green Green Green Black Purple Purple Purple Black Purple Purple Black Green Green Green Black Purple\nPurple Purple Purple Black Green Green Green Purple Purple Purple Black Purple Black Purple Purple Green Green Green Purple Black\nPurple Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Purple Black\nPurple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple Black Black Purple Black\nPurple Purple Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple\nBlack Purple Purple Purple Purple Black Purple Purple Black Black Purple Black Black Purple Purple Black Purple Purple Purple Black\nPurple Purple Purple Purple Black Purple Black Purple Black Purple Purple Black Black Purple Black Purple Purple Purple Black Purple\n\n\nExample 2\nInput:\nBlack Gray Black Gray Black Gray Gray Gray Black Black Gray Gray Black Gray Gray Black Black Black Black Gray\nGray Black Gray Black Black Gray Gray Gray Black Black Gray Black Gray Gray Gray Black Gray Gray Black Black\nBlack Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Black Black Gray\nGray Gray Black Black Gray Gray Gray Black Yellow Yellow Yellow Black Black Black Gray Black Black Gray Gray Gray\nBlack Gray Gray Black Gray Gray Gray Black Yellow Yellow Yellow Gray Black Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Black Gray Gray Black Gray Yellow Yellow Yellow Gray Gray Gray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Black Black Gray Gray Black Gray Gray Gray\nBlack Black Gray Black Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black\nBlack Gray Gray Black Gray Gray Black Black Gray Black Gray Gray Black Black Gray Gray Gray Black Gray Gray\nBlack Gray Gray Black Black Gray Black Gray Gray Gray Gray Gray Black Gray Black Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray\nGray Gray Black Black Gray Black Gray Black Gray Gray Gray Gray Black Gray Black Black Gray Black Gray Gray\nBlack Black Gray Gray Black Gray Black Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray Gray Black Gray Black Gray Black Black\nBlack Gray Gray Gray Black Gray Gray Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Black Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray\nGray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Gray Black Gray Black Gray Gray Gray Black Black Gray Gray Black Gray Gray Black Black Black Black Gray\nGray Black Gray Black Black Gray Gray Gray Black Black Gray Black Gray Gray Gray Black Gray Gray Black Black\nBlack Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Black Black Gray\nGray Gray Black Black Gray Gray Gray Black Green Green Green Black Black Black Gray Black Black Gray Gray Gray\nBlack Gray Gray Black Gray Gray Gray Black Green Green Green Gray Black Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Black Gray Gray Black Gray Green Green Green Gray Gray Gray Gray Gray Black Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Black Black Gray Gray Black Gray Gray Gray\nBlack Black Gray Black Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black\nBlack Gray Gray Black Gray Gray Black Black Gray Black Gray Gray Black Black Gray Gray Gray Black Gray Gray\nBlack Gray Gray Black Black Gray Black Gray Gray Gray Gray Gray Black Gray Black Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray\nGray Gray Black Black Gray Black Gray Black Gray Gray Gray Gray Black Gray Black Black Gray Black Gray Gray\nBlack Black Gray Gray Black Gray Black Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray Gray Black Gray Black Gray Black Black\nBlack Gray Gray Gray Black Gray Gray Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Black Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray\nGray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black Gray Gray Gray Gray Black Gray Gray\nBlack Gray Black Black Black Gray Black Gray Gray Black Gray Gray Black Gray Gray Yellow Yellow Yellow Gray Gray\nBlack Gray Black Gray Gray Gray Gray Black Gray Yellow Yellow Yellow Gray Gray Black Yellow Yellow Yellow Black Black\nBlack Gray Gray Black Black Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Gray Gray\nBlack Gray Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Gray Black Black Gray Black Gray Black Gray\nGray Black Gray Gray Gray Black Gray Black Gray Black Black Gray Gray Black Gray Gray Gray Gray Gray Gray\nBlack Yellow Yellow Yellow Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nGray Yellow Yellow Yellow Black Black Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Black Black\nBlack Yellow Yellow Yellow Gray Black Gray Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Gray\nGray Black Black Gray Gray Gray Black Gray Black Black Gray Gray Black Gray Black Black Black Black Gray Gray\nGray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray\nBlack Gray Gray Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Gray\nGray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Black Gray Black Gray Black Gray Gray Gray Gray Black Gray Gray Gray\nBlack Gray Black Gray Gray Black Gray Black Gray Gray Gray Gray Black Gray Black Black Gray Gray Black Gray\nBlack Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Black Gray Gray Gray Black Gray Black Gray Black Gray Gray Gray Gray Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black Gray Gray Gray Gray Black Gray Gray\nBlack Gray Black Black Black Gray Black Gray Gray Black Gray Gray Black Gray Gray Green Green Green Gray Gray\nBlack Gray Black Gray Gray Gray Gray Black Gray Green Green Green Gray Gray Black Green Green Green Black Black\nBlack Gray Gray Black Black Gray Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green Gray Gray\nBlack Gray Black Black Black Gray Gray Gray Black Green Green Green Gray Black Black Gray Black Gray Black Gray\nGray Black Gray Gray Gray Black Gray Black Gray Black Black Gray Gray Black Gray Gray Gray Gray Gray Gray\nBlack Green Green Green Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nGray Green Green Green Black Black Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Black Black\nBlack Green Green Green Gray Black Gray Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Gray\nGray Black Black Gray Gray Gray Black Gray Black Black Gray Gray Black Gray Black Black Black Black Gray Gray\nGray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray\nBlack Gray Gray Black Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Gray\nGray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Black Gray Black Gray Black Gray Gray Gray Gray Black Gray Gray Gray\nBlack Gray Black Gray Gray Black Gray Black Gray Gray Gray Gray Black Gray Black Black Gray Gray Black Gray\nBlack Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Black Gray Gray Gray Black Gray Black Gray Black Gray Gray Gray Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Orange Orange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Black Black Orange\nBlack Black Orange Black Orange Orange Orange Orange Orange Orange Black Black Orange Black Black Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Black Black Black Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Black Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange\nBlack Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black\nOrange Black Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange\nBlack Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Orange Black Orange\nOrange Orange Black Orange Black Orange Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange Orange\nOrange Black Orange Black Black Black Orange Orange Black Orange Black Orange Orange Orange Orange Orange Black Black Orange Black\nBlack Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Black Orange Orange Black\nOrange Orange Yellow Yellow Yellow Black Orange Yellow Yellow Yellow Orange Black Orange Black Black Orange Black Black Black Orange\nBlack Black Yellow Yellow Yellow Orange Black Yellow Yellow Yellow Orange Black Orange Orange Orange Black Black Orange Orange Orange\nOrange Orange Yellow Yellow Yellow Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black 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 Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Black\nOrange Orange Orange Orange Orange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Black Black Orange\nBlack Black Orange Black Orange Orange Orange Orange Orange Orange Black Black Orange Black Black Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Black Black Black Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Black Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange\nBlack Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black\nOrange Black Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange\nBlack Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Black Orange Black Orange\nOrange Orange Black Orange Black Orange Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange Orange\nOrange Black Orange Black Black Black Orange Orange Black Orange Black Orange Orange Orange Orange Orange Black Black Orange Black\nBlack Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Green Green Green Orange Orange Orange Orange Orange Orange Black Orange Orange Black\nOrange Orange Green Green Green Black Orange Green Green Green Orange Black Orange Black Black Orange Black Black Black Orange\nBlack Black Green Green Green Orange Black Green Green Green Orange Black Orange Orange Orange Black Black Orange Orange Orange\nOrange Orange Green Green Green Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black\n```",
"role": "assistant"
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{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red 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\nBlack Black Red Red Black Black Red Red Black Black Black Black Black Black Pink Pink\nBlack Black Red Red Black Black Red Red Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\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 Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Pink Pink Red Red Black Black Black Black\nBlack Black Black Black Red Red Pink Pink Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black\nPink Pink 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\nPink Pink 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\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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nPink Pink 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\nPink Pink 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\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Yellow Yellow\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Red Red Yellow Yellow\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Pink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Red Red Pink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack 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 Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 Purple Black\nGreen Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black\nPink Black Orange Black Black Purple Black Black\nBlack Black Black Black Orange Black Black Black\nBlack Orange Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Gray Black Orange Purple Black Black Black Yellow Black\nBlack Black Black Gray Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Brown Black Green\nBlack Black Black Black Black Black Yellow Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlue Black Green Yellow 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 Purple Red Black Black Black Yellow Black\nPurple Green Black Black Black Black Black Black Black\nBlack Black Purple Gray Black Black Black Black Gray\nBlack Black Black Black Green Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Orange Brown Black Black Black Black Black\nBlack Green Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Orange Orange Black Black Black Black\nBlack Brown Black Black Black Black Black Gray Black\nPink Black Black Black Black Black Yellow Black Black\nPink Black Black Black Pink 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 Purple Orange Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Purple Pink Orange Black Black Black\nBlack Black Yellow Pink Black Black Black Black\nBlack Black Black Black Brown Black Black Orange\nBlack Black Black Black Black Black Black Orange\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Black Purple Black Purple Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Purple Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow\nYellow Yellow Purple Pink Orange Yellow Yellow Yellow\nYellow Yellow Yellow Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Yellow Yellow Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange\nYellow Yellow Yellow Yellow Purple Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Purple Yellow Purple Yellow\nYellow Yellow Yellow Yellow Purple Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Pink Pink Yellow Yellow Gray\nBlack Black Brown Black Green Black Yellow\nBlack Black Purple Black Black Gray Yellow\nBlack Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Black Black Black Black Black Black\nBlack Purple Black Brown Black Black Black\nPurple Purple Black Black Brown Black Yellow\n\nOutput:\nPink Pink Pink Pink Yellow Yellow Gray\nPink Pink Brown Pink Green Pink Yellow\nPink Pink Purple Pink Pink Gray Yellow\nPink Purple Purple 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\nPurple Pink Pink Pink Pink Pink Pink\nPink Purple Pink Brown Pink Pink Pink\nPurple Purple Pink Pink Brown Pink Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Blue Black Purple Orange Black Black\nBlue Black Black Black Orange Black Orange\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black\nBlack Black Black Brown Gray Gray Black\nBlack Black Black Black Gray Black Black\nBlack Black Black Black Pink Purple Black\nBlack Black Black Black Black Pink Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Yellow Purple Orange Yellow Yellow\nBlue Yellow Yellow Yellow Orange Yellow Orange\nBlue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Yellow Yellow\nYellow Yellow Yellow Brown Gray Gray Yellow\nYellow Yellow Yellow Yellow Gray Yellow Yellow\nYellow Yellow Yellow Yellow Pink Purple Yellow\nYellow Yellow Yellow Yellow Yellow Pink Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Brown Black Black\nBlack Green Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Yellow\nGreen Black Black Green Green Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Brown Pink Pink\nPink Green Pink Pink Pink Pink Pink Pink Pink\nGreen Pink Pink Pink Pink Pink Pink Pink Yellow\nGreen Pink Pink Green Green Pink Pink Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Brown\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Purple Orange Black Purple Black Orange Black\nRed Black Black Black Black Black Green Blue Black Brown\nBlack Black Black Black Yellow Black Black Orange Black Pink\nBlack Black Black Pink Orange Purple Red Black Brown Yellow\nRed Pink Black Black Black Green Yellow Black Pink Purple\n\nOutput:\nRed Pink Black Black Black Green Yellow Black Pink Purple\nBlack Black Black Pink Orange Purple Red Black Brown Yellow\nBlack Black Black Black Yellow Black Black Orange Black Pink\nRed Black Black Black Black Black Green Blue Black Brown\nBlack Black Black Purple Orange Black Purple Black Orange Black\nBlack Black Black Purple Orange Black Purple Black Orange Black\nRed Black Black Black Black Black Green Blue Black Brown\nBlack Black Black Black Yellow Black Black Orange Black Pink\nBlack Black Black Pink Orange Purple Red Black Brown Yellow\nRed Pink Black Black Black Green Yellow Black Pink Purple\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Gray Black Black Black Purple Green Brown Red\nPurple Brown Red Black Black Purple Blue Black Brown Black\nBlack Red Purple Black Black Blue Orange Orange Black Red\nPink Black Black Black Pink Black Black Pink Black Black\nPink Black Brown Yellow Gray Blue Black Purple Brown Orange\n\nOutput:\nPink Black Brown Yellow Gray Blue Black Purple Brown Orange\nPink Black Black Black Pink Black Black Pink Black Black\nBlack Red Purple Black Black Blue Orange Orange Black Red\nPurple Brown Red Black Black Purple Blue Black Brown Black\nBlue Blue Gray Black Black Black Purple Green Brown Red\nBlue Blue Gray Black Black Black Purple Green Brown Red\nPurple Brown Red Black Black Purple Blue Black Brown Black\nBlack Red Purple Black Black Blue Orange Orange Black Red\nPink Black Black Black Pink Black Black Pink Black Black\nPink Black Brown Yellow Gray Blue Black Purple Brown Orange\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Brown Black Black Black Black Gray Yellow Blue\nBlack Black Black Yellow Black Black Black Brown Black Black\nBlack Gray Black Blue Black Black Gray Black Black Red\nBrown Blue Black Brown Blue Brown Orange Purple Gray Black\nGray Black Black Orange Black Brown Black Green Pink Black\n\nOutput:\nGray Black Black Orange Black Brown Black Green Pink Black\nBrown Blue Black Brown Blue Brown Orange Purple Gray Black\nBlack Gray Black Blue Black Black Gray Black Black Red\nBlack Black Black Yellow Black Black Black Brown Black Black\nBlack Black Brown Black Black Black Black Gray Yellow Blue\nBlack Black Brown Black Black Black Black Gray Yellow Blue\nBlack Black Black Yellow Black Black Black Brown Black Black\nBlack Gray Black Blue Black Black Gray Black Black Red\nBrown Blue Black Brown Blue Brown Orange Purple Gray Black\nGray Black Black Orange Black Brown Black Green Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Purple Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Yellow Black Black\nRed Orange Yellow Brown Black Black Blue Purple Gray Black\nBlack Blue Black Red Green Purple Black Black Black Gray\nBlack Yellow Blue Black Red Brown Pink Orange 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 Yellow Blue Black Red Brown Pink Orange Blue Black\nBlack Blue Black Red Green Purple Black Black Black Gray\nRed Orange Yellow Brown Black Black Blue Purple Gray Black\nBlack Black Black Black Black Purple Black Yellow Black Black\nBlack Black Purple Black Purple Black Black Black Black Black\nBlack Black Purple Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Yellow Black Black\nRed Orange Yellow Brown Black Black Blue Purple Gray Black\nBlack Blue Black Red Green Purple Black Black Black Gray\nBlack Yellow Blue Black Red Brown Pink Orange 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:\nPurple Black Purple Purple Purple Purple Black Purple Purple Black Black Purple Purple Purple Black Purple Black Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Purple Purple Black Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Black Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Black Black Purple Purple Purple Black Black\nPurple Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Red Red Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Red Red Purple Purple Black Black Black Purple Purple\nBlack Black Black Purple Black Purple Purple Purple Black Black Black Purple Purple Purple Black Purple Black Purple Purple Black\nPurple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Black Black Purple Purple Purple\nBlack Black Red Red Purple Purple Black Black Black Black Purple Black Purple Black Purple Purple Purple Purple Purple Purple\nBlack Black Red Red Black Black Purple Black Purple Purple Black Purple Black Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black Purple\nBlack Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple\nPurple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Black Purple Black\nRed Red Purple Black Black Purple Purple Purple Purple Purple Purple Purple Black Purple Black Purple Purple Purple Black Purple\nRed Red Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Black Purple Purple Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Black Purple\nPurple Black Purple Black Black Black Purple Purple Black Black Purple Black Purple Purple Black Purple Black Purple Black Purple\n\nOutput:\nPurple Black Purple Purple Purple Purple Black Purple Purple Black Black Purple Purple Purple Black Purple Black Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Purple Purple Black Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Black Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Black Black Purple Purple Purple Black Black\nPurple Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Yellow Yellow Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Yellow Yellow Purple Purple Black Black Black Purple Purple\nBlack Black Black Purple Black Purple Purple Purple Black Black Black Purple Purple Purple Black Purple Black Purple Purple Black\nPurple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Black Black Purple Purple Purple\nBlack Black Yellow Yellow Purple Purple Black Black Black Black Purple Black Purple Black Purple Purple Purple Purple Purple Purple\nBlack Black Yellow Yellow Black Black Purple Black Purple Purple Black Purple Black Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black Purple\nBlack Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple\nPurple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Black Purple Black\nYellow Yellow Purple Black Black Purple Purple Purple Purple Purple Purple Purple Black Purple Black Purple Purple Purple Black Purple\nYellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Black Purple Purple Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Black Purple\nPurple Black Purple Black Black Black Purple Purple Black Black Purple Black Purple Purple Black Purple Black Purple Black Purple\n\n\nExample 2\nInput:\nGray Gray Gray Black Gray Black Gray Gray Black Black Black Gray Gray Gray Gray Black Gray Black Gray Black\nGray Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray\nBlack Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black Black Gray Black Gray\nGray Gray Gray Black Black Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Black Gray Black Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Gray Gray Black Gray Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray\nBlack Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Black Black Black 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 Black Black Gray\nBlack Gray Gray Gray Gray Gray Black Black Black Black Gray Black Gray Black Gray Black Black Gray Gray Black\nGray Gray Gray Black Gray Black Gray Gray Gray Black Gray Black Gray Black Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black\nGray Gray Black Gray Black Gray Gray Black Black Gray Black Black Gray Gray Black Gray Black Gray Gray Black\nGray Black Gray Gray Gray Gray Black Gray Black Black Gray Gray Gray Red Red Gray Gray Black Gray Black\nGray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Red Red Black Gray Black Black Black\nGray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Black Gray\n\nOutput:\nGray Gray Gray Black Gray Black Gray Gray Black Black Black Gray Gray Gray Gray Black Gray Black Gray Black\nGray Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray\nBlack Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black Black Gray Black Gray\nGray Gray Gray Black Black Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Black Gray Black Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Gray Gray Black Gray Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray\nBlack Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Black Black Black 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 Black Black Gray\nBlack Gray Gray Gray Gray Gray Black Black Black Black Gray Black Gray Black Gray Black Black Gray Gray Black\nGray Gray Gray Black Gray Black Gray Gray Gray Black Gray Black Gray Black Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black\nGray Gray Black Gray Black Gray Gray Black Black Gray Black Black Gray Gray Black Gray Black Gray Gray Black\nGray Black Gray Gray Gray Gray Black Gray Black Black Gray Gray Gray Yellow Yellow Gray Gray Black Gray Black\nGray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Black Gray Black Black Black\nGray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Black Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Gray Gray Black Gray Gray Black Gray Black Gray Black Black Black Black Gray Gray Gray\nBlack Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Black Gray Black Black Gray Gray Gray Gray Black Gray Black Black Gray Gray Gray\nGray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Black Gray Black Gray Gray Gray\nGray Black Gray Gray Gray Gray Black Gray Gray Gray Black Black Gray Black Black Gray Black Gray Black Gray\nBlack Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Gray\nGray Gray Gray Gray Gray Black Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black Gray\nGray Gray Black Black Gray Gray Gray Gray Gray Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Black Gray Black Gray Gray Black Gray Gray Black Black Gray Gray Gray Black Black Gray Black\nGray Gray Gray Gray Gray Black Black Gray Red Red Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Black Gray Gray Black Black Red Red Gray Black Gray Gray Gray Gray Gray Black Gray Black\nGray Gray Black Gray Gray Gray Black Gray Black Black Black Gray Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Black Gray\nGray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Red Red Black Gray Black Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Gray Black Black Gray Gray Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Gray Gray Gray Black Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Black Black Gray\nBlack Gray Black Gray Gray Black Gray Gray Gray Black Black Red Red Black Gray Black Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Red Red Gray Gray Black Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Gray Gray Black Gray Gray Black Gray Black Gray Black Black Black Black Gray Gray Gray\nBlack Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Black Gray Black Black Gray Gray Gray Gray Black Gray Black Black Gray Gray Gray\nGray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Black Gray Black Gray Gray Gray\nGray Black Gray Gray Gray Gray Black Gray Gray Gray Black Black Gray Black Black Gray Black Gray Black Gray\nBlack Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Black Gray\nGray Gray Gray Gray Gray Black Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black Gray\nGray Gray Black Black Gray Gray Gray Gray Gray Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Black Gray Black Gray Gray Black Gray Gray Black Black Gray Gray Gray Black Black Gray Black\nGray Gray Gray Gray Gray Black Black Gray Yellow Yellow Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Black Gray Gray Black Black Yellow Yellow Gray Black Gray Gray Gray Gray Gray Black Gray Black\nGray Gray Black Gray Gray Gray Black Gray Black Black Black Gray Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Black Gray\nGray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Yellow Yellow Black Gray Black Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Gray Black Black Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Gray Gray Gray Black Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Black Black Gray\nBlack Gray Black Gray Gray Black Gray Gray Gray Black Black Yellow Yellow Black Gray Black Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Yellow Yellow Gray Gray Black Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Orange Black Black Black Orange Black\nOrange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Black Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black\nRed Red Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Black Orange Black Orange Orange Orange Black\nRed Red Black Orange Orange Orange Black Orange Orange Orange Orange Black Orange Red Red Black Black Orange Black Orange\nOrange Black Orange Black Orange Orange Orange Black Orange Orange Black Black Orange Red Red Orange Black Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Black Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Black Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black Orange\nOrange Black Black Orange Black Black Orange Black Black Orange Orange Orange Orange Black Orange Black Orange Black Orange Orange\nOrange Orange Orange Orange Black Orange Orange Black Orange Black Black Black Orange Orange Black Orange Black Orange Orange Black\nOrange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Black Orange Orange Black Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Black Orange Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange\nBlack Black Black Black Orange Orange Black Black Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black\nOrange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Black Orange\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange\nBlack Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Orange Black Black Black Orange Black\nOrange Black Orange Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Black Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black\nYellow Yellow Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Black Orange Black Orange Orange Orange Black\nYellow Yellow Black Orange Orange Orange Black Orange Orange Orange Orange Black Orange Yellow Yellow Black Black Orange Black Orange\nOrange Black Orange Black Orange Orange Orange Black Orange Orange Black Black Orange Yellow Yellow Orange Black Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Black Black Orange Black Orange Orange Orange Orange Black Orange Orange Orange Black Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black Orange\nOrange Black Black Orange Black Black Orange Black Black Orange Orange Orange Orange Black Orange Black Orange Black Orange Orange\nOrange Orange Orange Orange Black Orange Orange Black Orange Black Black Black Orange Orange Black Orange Black Orange Orange Black\nOrange Orange Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Black Orange Orange Black Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Black Orange Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange\nBlack Black Black Black Orange Orange Black Black Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black\nOrange Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Black Orange\nBlack Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange\nBlack Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange 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:\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple 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 Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Black Black Black Red Red Red Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Black Black Black Red Red Red Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Black Black Black Red Red Red Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\n\nOutput:\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Purple Purple Purple 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 Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlue Blue Blue Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlue Blue Blue Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlue Blue Blue Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlue Blue Blue Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Red Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Red Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Red Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink 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\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Green Green Green Green Green Green Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Green Green Green Green Green Green Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Green Green Green Green Green Green Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nGreen Green Green Orange Orange Orange Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Orange Orange Orange Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Orange Orange Orange Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nPurple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Yellow Yellow Yellow Black Black Black Pink Pink Pink Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Yellow Yellow Yellow Black Black Black Pink Pink Pink Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Yellow Yellow Yellow Black Black Black Pink Pink Pink Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Green Green Green Green Green Green Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Green Green Green Green Green Green Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Brown Brown Brown Green Green Green Green Green Green Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nGray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nGreen Green Green Orange Orange Orange Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Orange Orange Orange Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Orange Orange Orange Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nPurple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Yellow Yellow Yellow Black Black Black Pink Pink Pink Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Yellow Yellow Yellow Black Black Black Pink Pink Pink Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Yellow Yellow Yellow Black Black Black Pink Pink Pink Blue Blue Blue Brown Brown Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black 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 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 Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink 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 Orange\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 Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Yellow 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 Pink Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Purple Orange Orange Green Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Red 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 Yellow Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Pink Orange Orange\nOrange Orange Orange Orange Green Orange Orange Orange Orange\nOrange Orange Orange Green Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 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 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\nBlack 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Brown 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 Gray 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\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Black Black Red Black\nBlack Black Black Black Black Purple Black\nRed Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Orange Orange Orange Orange Green Orange\nOrange Orange Orange Orange Orange Pink Orange\nGreen Orange Orange Orange Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange 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:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Red 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\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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\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\n\n\nDirectly provide the output grids corresponding to the given test input 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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Green Green Green Green Green Green Red Red Red Red Red Red\nBlack Black Green Green Green Green Green Green Red Red Red Red Red Red\nBlack Black Green Green Black Black Black Black Red Red Black Black Red Red\nBlack Black Green Green Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Blue Blue Black Black Black Black Red Red Black Black Red Red\nBlack Black Blue Blue Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Green Green Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Green Green 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\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nGray Gray Black Black Black Black Black Black Blue Blue\nGray Gray Black Black Black Black Black Black Blue Blue\nBlack Black Gray Gray Black Black Blue Blue Black Black\nBlack Black Gray Gray Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Gray Gray Black Black\nBlack Black Blue Blue Black Black Gray Gray Black Black\nBlue Blue Black Black Black Black Black Black Gray Gray\nBlue Blue Black Black Black Black Black Black Gray Gray\n\nOutput:\nGray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray\nBlue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray\nBlue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue\nGray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray\nBlue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray\nBlue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray\nBlue Blue Gray Gray Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Blue Blue\nBlue Blue Gray Gray Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray Blue Blue\nGray Gray Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray\nGray Gray Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Blue Blue Gray Gray\n\n\nExample 2\nInput:\nGray Gray Black Black Black Black Black Black Red Red\nGray Gray Black Black Black Black Black Black Red Red\nBlack Black Gray Gray Black Black Red Red Black Black\nBlack Black Gray Gray Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Gray Gray Black Black\nBlack Black Red Red Black Black Gray Gray Black Black\nRed Red Black Black Black Black Black Black Gray Gray\nRed Red Black Black Black Black Black Black Gray Gray\n\nOutput:\nGray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray\nGray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray\nRed Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray\nRed Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red\nGray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray\nGray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray\nRed Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray\nRed Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray\nGray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray\nGray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray\nRed Red Gray Gray Red Red Red Red Gray Gray Gray Gray Red Red Gray Gray Red Red\nRed Red Gray Gray Red Red Red Red Gray Gray Gray Gray Red Red Gray Gray Red Red\nGray Gray Red Red Red Red Red Red Red Red Gray Gray Gray Gray Red Red Gray Gray\nGray Gray Red Red Red Red Red Red Red Red Gray Gray Gray Gray Red Red Gray Gray\n\n\nExample 3\nInput:\nPink Pink Black Black Black Black Black Black Red Red\nPink Pink Black Black Black Black Black Black Red Red\nBlack Black Pink Pink Black Black Red Red Black Black\nBlack Black Pink Pink Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Red Red Black Black Pink Pink Black Black\nBlack Black Red Red Black Black Pink Pink Black Black\nRed Red Black Black Black Black Black Black Pink Pink\nRed Red Black Black Black Black Black Black Pink Pink\n\nOutput:\nPink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink\nPink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink\nRed Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink\nRed Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red\nPink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink\nPink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink\nRed Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink\nRed Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink\nPink Pink Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink\nPink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink Pink Pink Red Red Pink Pink\nRed Red Pink Pink Red Red Red Red Pink Pink Pink Pink Red Red Pink Pink Red Red\nRed Red Pink Pink Red Red Red Red Pink Pink Pink Pink Red Red Pink Pink Red Red\nPink Pink Red Red Red Red Red Red Red Red Pink Pink Pink Pink Red Red Pink Pink\nPink Pink Red Red Red Red Red Red Red Red Pink Pink Pink Pink Red Red Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Black Black Black Black Black Black Green Green\nYellow Yellow Black Black Black Black Black Black Green Green\nBlack Black Yellow Yellow Black Black Green Green Black Black\nBlack Black Yellow Yellow Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Yellow Yellow Black Black\nBlack Black Green Green Black Black Yellow Yellow Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow\nGreen Green Black Black Black Black Black 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```\nYellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow\nGreen Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nGreen Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green\nYellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow\nGreen Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nGreen Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nYellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow\nGreen Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Green Green\nGreen Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow Green Green\nYellow Yellow Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Green Green Yellow Yellow\nYellow Yellow Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Green Green 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Orange Orange Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Orange Orange Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple\nPurple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Orange Orange Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Orange Orange Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Orange Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Orange Orange\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Red Red Red Red Black Black Black Black Black Black Purple Purple\nPurple Purple Red Red Red Red Black Black Black Black Black Black Purple Purple\nPurple Purple Red Red Red Red Black Black Black Black Black Black Purple Purple\nPurple Purple Red Red Red Red Black Black Black Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Red Red Red Red\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Blue Blue Blue Blue Black Black Pink Pink\nPink Pink Black Black Black Black Blue Blue Blue Blue Black Black Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Blue Blue Black Black Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Blue Blue Black Black Pink Pink\nPink Pink Blue Blue Black Black Blue Blue Blue Blue Black Black Pink Pink\nPink Pink Blue Blue Black Black Blue Blue Blue Blue Black Black Pink Pink\nPink Pink Blue Blue Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Blue Blue Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nBlue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\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\n\n\nHere is the input grid for the test example:\nInput:\nOrange 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\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Purple Purple\nPink Black Black Black Black Black Orange Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black\nBlack Black Black Black Orange Black Brown Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black\nBlack Black Black Black Purple Black Black Red Black\nBlack Black Purple Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black 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 Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange\nBlack Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black\nBlack Black Orange Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Orange Black Black Black Black Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange 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 Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Gray Yellow Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBrown Black Black Black Black Black Purple Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray 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 Brown\nBlack Black Black Black Brown Black Pink Black Orange Black\nBlack Black Gray Black Black Black Black Pink Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Gray\nBlack Black Pink Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Orange Black Black\nBlack Pink Black Black Black Gray Yellow Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Black Black\nRed Red Green Green Green Green Green Green Black Black\nRed Red Green Green Green Green Green Green Black Black\nRed Red Green Green Green Green Green Green Black Black\nRed Red Green Green Green Green Green Green Black Black\nBlue Blue Blue Blue Green Green Green Green Black Black\nBlue Blue Blue Blue Green Green Green Green Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow 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\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Red Red Red Red Black Black\nGreen Green Green Green Red Red Red Red Black Black\nBlue Blue Blue Blue Blue Blue Red Red Black Black\nBlue Blue Blue Blue Blue Blue Red Red Black Black\nBlue Blue Blue Blue Blue Blue Red Red Black Black\nBlue Blue Blue Blue Blue Blue Red Red Black Black\nBlue Blue Blue Blue Blue Blue Red Red Black Black\nBlue Blue Blue Blue Blue Blue Red Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow 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\nRed Red Green Green Green Green Green Green Black Black\nRed Red Green Green Green Green Green Green Black Black\nBlue Blue Blue Blue Green Green Green Green Black Black\nBlue Blue Blue Blue Green Green Green Green Black Black\nBlue Blue Blue Blue Green Green Green Green Black Black\nBlue Blue Blue Blue Green Green Green Green Black Black\nRed Red Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown 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 Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Black Black\nBlue Blue Blue Blue Blue Blue Green Green Green Green Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Pink Black Purple Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black\nBlack Yellow 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 Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Black\nBlack Black Black Black Red Black Black\nBlack Yellow 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 Pink Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Brown 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 Orange Orange Black Black\nGreen Black Black Black Black Black Black\nBlack Black Yellow Yellow Orange Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nRed Red Brown Black Black Black Black\nBlack Brown Black Black Black Black Black\nBlack Red Brown Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black\nPink Pink Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black\nBlack Pink Gray Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Yellow\nBrown Brown Brown Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Pink Pink Black Black Black\nBlack Black Black Black Yellow Black Pink Pink Black Black\nBlack Black Black Yellow Yellow Yellow Black Pink Pink Black\nBlack Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow 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\nBlue Blue Black Black Pink Pink Black Black Black Black\nBlack Blue Blue Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Red Pink Black Black Black\nBlack Black Black Black Pink Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Orange Black\nBlack Black Black Black Yellow Red Black Black Orange Orange\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Orange\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\nYellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black 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\n\n\nExample 3\nInput:\nGreen Green Green Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Red Black Black Black Black Yellow Black Black\nBlack Purple Purple Purple Black Yellow Yellow Yellow Black Black\nBlack Purple Black Black Black Black Black Yellow Black Black\nPurple Purple Black Black Black Orange Black Yellow Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Black Black Black Yellow Black Black\nYellow Yellow Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBrown Brown Brown Brown Gray Gray Black Black Black Black\nBrown Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black\nGray Black Black Black Black Gray Gray Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Green Green Green Green 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\nBlack Black Black Black Green Green Green Green Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown\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 Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Blue Blue Green Green Green Green Black Black\nBlack Black Green Green Black Black Blue Blue Green Green Green Green Black Black\nBlack Black Green Green Pink Pink Blue Blue Pink Pink Black Black Black Black\nBlack Black Green Green Pink Pink Blue Blue Pink Pink Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Pink Pink Blue Blue Pink Pink Green Green Black Black\nBlack Black Black Black Pink Pink Blue Blue Pink Pink Green Green Black Black\nBlack Black Green Green Green Green Yellow Yellow Black Black Green Green Black Black\nBlack Black Green Green Green Green Yellow Yellow Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Red Red\nBlack Black Black Black Black Black Red Red Black Black Yellow Yellow Red Red\nBlack Black Black Black Black Black Red Red Orange Orange Yellow Yellow Orange Orange\nBlack Black Black Black Black Black Red Red Orange Orange Yellow Yellow Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Red Red Brown Brown Red Red Black Black\nBlack Black Red Red Brown Brown Red Red Brown Brown Red Red Black Black\nBlack Black Brown Brown Brown Brown Red Red Brown Brown Yellow Yellow Black Black\nBlack Black Brown Brown Brown Brown Red Red Brown Brown Yellow Yellow Black Black\nBlack Black Purple Purple Red Red Orange Orange Red Red Purple Purple Black Black\nBlack Black Purple Purple Red Red Orange Orange Red Red Purple Purple Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Brown Brown Blue Blue Purple Purple Blue Blue Brown Brown Black Black\nBlack Black Brown Brown Blue Blue Purple Purple Blue Blue Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Green Green 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 Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Green Green\nBlack Black Black Black Black Black Black Black Black Black Pink Pink 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 Gray Gray Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow\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 Brown Brown Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Green Green Orange Orange Blue Blue Yellow Yellow Brown Brown Black Black\nBlack Black Green Green Orange Orange Blue Blue Yellow Yellow Brown Brown Black Black\nBlack Black Green Green Orange Orange Gray Gray Blue Blue Red Red Black Black\nBlack Black Green Green Orange Orange Gray Gray Blue Blue Red Red Black Black\nBlack Black Orange Orange Gray Gray Green Green Green Green Brown Brown Black Black\nBlack Black Orange Orange Gray Gray Green Green Green Green Brown Brown Black Black\nBlack Black Orange Orange Orange Orange Gray Gray Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Gray Gray Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Red Red Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Black Black Red Red Purple Purple Yellow Yellow\nBlack Black Black Black Black Black Black Black Red Red Purple Purple Brown Brown\nBlack Black Black Black Black Black Black Black Red Red Purple Purple Brown Brown\nBlack Black Black Black Black Black Black Black Purple Purple Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Purple Purple Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Brown Brown\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 Green Green Purple Purple Red Red Red Red Brown Brown Black Black\nBlack Black Green Green Purple Purple Red Red Red Red Brown Brown Black Black\nBlack Black Red Red Purple Purple Purple Purple Purple Purple Brown Brown Black Black\nBlack Black Red Red Purple Purple Purple Purple Purple Purple Brown Brown Black Black\nBlack Black Gray Gray Green Green Black Black Red Red Pink Pink Black Black\nBlack Black Gray Gray Green Green Black Black Red Red Pink Pink Black Black\nBlack Black Red Red Purple Purple Purple Purple Yellow Yellow Brown Brown Black Black\nBlack Black Red Red Purple Purple Purple Purple Yellow Yellow Brown Brown Black Black\nBlack Black Green Green Purple Purple Red Red Red Red Brown Brown Black Black\nBlack Black Green Green Purple Purple Red Red Red Red Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Red Red Pink Pink Green Green\nBlack Black Black Black Black Black Black Black Red Red Pink Pink Green Green\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Green Green Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Brown Brown 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 Yellow Yellow Blue Black Black Black\nOrange Black Black Yellow Yellow Black Black Blue Black\nBlack Black Orange Black Green Black Green Black Blue\nBlue Blue Black Black Black Black Black Black Black\nBlack Black Green Black Blue Black Pink Black Orange\nGreen Green Black Black Black Orange Black Green Black\nBlue Black Black Black Black Orange Black Black Black\nYellow Yellow Black Black Black Black Pink Black Black\nYellow Yellow Red Black Black Pink Black Red Red\n\nOutput:\nBlack Black Black Green Green Blue Black Black Black\nOrange Black Black Green Green Black Black Blue Black\nBlack Black Orange Black Green Black Green Black Blue\nBlue Blue Black Black Black Black Black Black Black\nBlack Black Green Black Blue Black Pink Black Orange\nGreen Green Black Black Black Orange Black Green Black\nBlue Black Black Black Black Orange Black Black Black\nGreen Green Black Black Black Black Pink Black Black\nGreen Green Red Black Black Pink Black Red Red\n\n\nExample 2\nInput:\nRed Red Black Red Black Black Black Black Red\nBlack Red Green Black Blue Black Black Yellow Yellow\nBlack Blue Blue Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Blue Yellow Yellow Black Black Blue Orange Black\nBlue Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Orange\n\nOutput:\nRed Red Black Red Black Black Black Black Red\nBlack Red Green Black Blue Black Black Green Green\nBlack Blue Blue Black Black Black Black Green Green\nBlack Black Black Black Green Green Black Black Black\nBlack Black Green Green Green Green Black Black Black\nBlack Blue Green Green Black Black Blue Orange Black\nBlue Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Orange\n\n\nExample 3\nInput:\nBlack Blue Black Black Black Black Black Black Black\nRed Black Black Black Black Orange Black Black Black\nRed Black Black Black Black Black Black Black Black\nBlue Black Red Black Black Black Black Black Black\nBlack Blue Yellow Yellow Black Black Red Pink Black\nPink Pink Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Blue Black Black Orange\nRed Orange Yellow Yellow Black Black Black Black Red\n\nOutput:\nBlack Blue Black Black Black Black Black Black Black\nRed Black Black Black Black Orange Black Black Black\nRed Black Black Black Black Black Black Black Black\nBlue Black Red Black Black Black Black Black Black\nBlack Blue Green Green Black Black Red Pink Black\nPink Pink Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Green Green Black Blue Black Black Orange\nRed Orange Green Green Black Black Black Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Red\nOrange Black Black Green Blue Green Black Red Blue\nBlack Orange Black Orange Black Black Black Black Black\nPink Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black\nRed Black Blue Black Black Black Black Black Green\nBlack Black Black Red Black Black Black Black Black\nBlack Yellow Yellow Black Black Blue Blue Black Black\nBlack Yellow Yellow Black Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Red\nOrange Black Black Green Blue Green Black Red Blue\nBlack Orange Black Orange Black Black Black Black Black\nPink Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black\nRed Black Blue Black Black Black Black Black Green\nBlack Black Black Red Black Black Black Black Black\nBlack Green Green Black Black Blue Blue Black Black\nBlack Green Green Black Green Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Blue Gray Green Yellow Purple Pink Orange Pink Blue Purple Yellow\nRed Gray Yellow Blue Purple Yellow Orange Red Green Orange Red Red\nYellow Purple Purple Red Red Yellow Pink Red Pink Orange Orange Brown\nGreen Orange Red Pink Pink Green Red Brown Green Purple Orange Blue\nYellow Blue Gray Blue Orange Pink Pink Purple Red Red Red Gray\nYellow Brown Green Pink Gray Yellow Purple Blue Gray Pink Purple Green\nYellow Pink Orange Brown Brown Purple Yellow Purple Yellow Orange Purple Purple\nBlue Orange Gray Orange Orange Green Brown Pink Purple Brown Pink Yellow\n\nOutput:\nRed Red Red Red Yellow Red Orange Red Orange Red Red Yellow\nRed Red Yellow Red Red Yellow Red Red Red Red Red Red\nYellow Red Red Red Red Yellow Orange Red Orange Red Red Red\nRed Red Red Orange Orange Red Red Red Red Red Red Red\nYellow Red Red Red Red Orange Orange Red Red Red Red Red\nYellow Red Red Orange Red Yellow Red Red Red Orange Red Red\nYellow Orange Red Red Red Red Yellow Red Yellow Red Red Red\nRed Red Red Red Red Red Red Orange Red Red Orange Yellow\n\n\nExample 2\nInput:\nPink Yellow Orange Purple Yellow Green Pink Blue Orange Red\nBlue Red Yellow Green Yellow Red Purple Gray Purple Pink\nBlue Green Orange Purple Orange Green Green Brown Blue Gray\nPurple Pink Pink Blue Brown Green Purple Gray Red Purple\nPurple Orange Orange Gray Yellow Red Pink Gray Pink Purple\nPurple Pink Blue Pink Blue Yellow Yellow Yellow Green Orange\nPink Purple Brown Brown Blue Brown Yellow Blue Red Yellow\n\nOutput:\nOrange Yellow Red Red Yellow Red Orange Red Red Red\nRed Red Yellow Red Yellow Red Red Red Red Orange\nRed Red Red Red Red Red Red Red Red Red\nRed Orange Orange Red Red Red Red Red Red Red\nRed Red Red Red Yellow Red Orange Red Orange Red\nRed Orange Red Orange Red Yellow Yellow Yellow Red Red\nOrange Red Red Red Red Red Yellow Red Red Yellow\n\n\nExample 3\nInput:\nPink Yellow Gray Pink Purple Gray Red Brown Brown Pink Brown\nGreen Orange Blue Orange Brown Red Purple Purple Green Yellow Pink\nBlue Purple Orange Yellow Yellow Yellow Brown Gray Blue Purple Yellow\nYellow Yellow Brown Yellow Pink Red Purple Blue Red Pink Pink\nPink Blue Gray Blue Brown Yellow Blue Yellow Yellow Blue Brown\nOrange Purple Blue Green Blue Yellow Yellow Pink Gray Orange Pink\nGray Brown Purple Green Pink Blue Orange Purple Green Red Yellow\n\nOutput:\nOrange Yellow Red Orange Red Red Red Red Red Orange Red\nRed Red Red Red Red Red Red Red Red Yellow Orange\nRed Red Red Yellow Yellow Yellow Red Red Red Red Yellow\nYellow Yellow Red Yellow Orange Red Red Red Red Orange Orange\nOrange Red Red Red Red Yellow Red Yellow Yellow Red Red\nRed Red Red Red Red Yellow Yellow Orange Red Red Orange\nRed Red Red Red Orange Red Red Red Red Red Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Red Orange Pink Red Pink Green Yellow Yellow\nBlue Brown Brown Brown Pink Green Gray Green Red\nGray Green Brown Yellow Gray Brown Purple Gray Blue\nPink Pink Orange Red Pink Red Pink Brown Pink\nGray Gray Yellow Brown Orange Yellow Red Orange Gray\nPink Purple Green Orange Blue Yellow Purple Gray Blue\nYellow Brown Yellow Red Yellow Orange Brown Green Orange\nYellow Orange Pink Brown Pink Gray Pink Blue Brown\nPink Orange Brown Gray Gray Brown Brown Green Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Red Red Orange Red Orange Red Yellow Yellow\nRed Red Red Red Orange Red Red Red Red\nRed Red Red Yellow Red Red Red Red Red\nOrange Orange Red Red Orange Red Orange Red Orange\nRed Red Yellow Red Red Yellow Red Red Red\nOrange Red Red Red Red Yellow Red Red Red\nYellow Red Yellow Red Yellow Red Red Red Red\nYellow Red Orange Red Orange Red Orange Red Red\nOrange Red Red Red Red Red Red Red Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Blue Orange Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Green Red Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Green Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Orange Orange Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Orange Gray Gray Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Green Red Gray Gray Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Green Yellow Red Brown Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Yellow Yellow Yellow Yellow Orange Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray Orange Yellow Yellow Yellow Yellow Orange Black\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Orange Yellow Yellow Yellow Yellow Yellow Orange Black\nPurple Purple Purple Purple Purple Purple Purple Gray Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Black\nPurple Purple Purple Purple Purple Purple Gray Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Black\nPurple Purple Purple Purple Purple Gray Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Black\nPurple Purple Purple Purple Gray Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Brown Brown Brown Red Black Black\nBlack Black Black Black Black Black Black Black Gray Orange Brown Orange Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Yellow Green Yellow Gray Black Black\nBlack Black Black Black Black Black Black Black Purple Brown Blue Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Orange Purple Blue Purple Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Red Red Black\nBrown Brown Brown Brown Brown Brown Brown Brown Gray Orange Brown Orange Gray Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Gray Yellow Green Yellow Gray Brown Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Brown Blue Brown Purple Purple Black\nPurple Purple Purple Purple Purple Purple Purple Gray Orange Purple Blue Purple Orange Gray Black\nPurple Purple Purple Purple Purple Purple Purple Gray Gray Purple Purple Purple Gray Gray Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray 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 Yellow Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Brown Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Red Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Red Red Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Brown Pink Orange Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Orange Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Blue Brown Red Black Black\nBlack Black Black Black Black Black Black Black Purple Pink Brown Red Black Black\nBlack Black Black Black Black Black Black Black Purple Pink Brown Red Black Black\nBlack Black Black Black Black Black Black Black Purple Blue Brown Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Red Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Brown Red Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Brown Red Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Brown Red Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Brown Red Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Red Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Red Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Red Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Red Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Red Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Red Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Red Red Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Red Red Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black 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 Yellow Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Purple Black Black Black Green Black Black\nBlack Green Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Green Black\nBlack Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Purple Black Black Black Green Black Black\nBlack Green Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Green Black\nBlack Black Green 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 Orange Black Black Blue Black Black Green Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nBlack Pink Black Black Green Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Blue Black Black Green Black\nBlack Yellow Black Green Black Black Black Black Black Black\nBlack Pink Black Black Green Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow 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 Orange Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nYellow Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black 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 Orange Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nYellow Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Purple Yellow Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Yellow Green Black Black Black Black Black Pink Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Yellow Black Black Black Green 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 Purple Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Yellow Green Black Black Black Black Black Pink Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Yellow Black Black Black Green 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Yellow Green Green Green Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
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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 Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green Green Green\nBrown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green Green Green\nOrange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue Pink Pink\nOrange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue Pink Pink\nGray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange Orange Orange\nGray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange Orange Orange\nGreen Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green Purple Purple\nGreen Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green Purple Purple\nYellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow\nGreen Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple Gray Gray\nGreen Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple Gray Gray\nBrown Brown Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Yellow Yellow\nBrown Brown Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Gray Gray Yellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown\nYellow Yellow Gray Gray Yellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown\n\nOutput:\nBrown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green Green Green\nBrown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green Green Green\nOrange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue Pink Pink\nOrange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue Pink Pink\nGray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange Orange Orange\nGray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange Orange Orange\nGreen Green Orange Orange Blue Blue Purple Purple Orange Orange Green Green Green Green Purple Purple\nGreen Green Orange Orange Blue Blue Purple Purple Orange Orange Green Green Green Green Purple Purple\nYellow Yellow Gray Gray Brown Brown Purple Purple Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Gray Gray Brown Brown Purple Purple Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nGreen Green Orange Orange Purple Purple Gray Gray Orange Orange Pink Pink Purple Purple Gray Gray\nGreen Green Orange Orange Purple Purple Gray Gray Orange Orange Pink Pink Purple Purple Gray Gray\nBrown Brown Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Yellow Yellow\nBrown Brown Blue Blue Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Yellow Yellow\nYellow Yellow Gray Gray Yellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown\nYellow Yellow Gray Gray Yellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown\n\n\nExample 2\nInput:\nPink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink Pink Pink Purple Purple Brown Brown\nPink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink Pink Pink Purple Purple Brown Brown\nYellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Blue Blue Red Red Pink Pink\nYellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Blue Blue Red Red Pink Pink\nBrown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Yellow Yellow Purple Purple Green Green\nBrown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Yellow Yellow Purple Purple Green Green\nGray Gray Orange Orange Pink Pink Pink Pink Pink Pink Red Red Pink Pink Green Green Green Green\nGray Gray Orange Orange Pink Pink Pink Pink Pink Pink Red Red Pink Pink Green Green Green Green\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow\n\nOutput:\nPink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink Pink Pink Purple Purple Brown Brown\nPink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink Pink Pink Purple Purple Brown Brown\nYellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Blue Blue Red Red Pink Pink\nYellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Blue Blue Red Red Pink Pink\nBrown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Yellow Yellow Purple Purple Green Green\nBrown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange Yellow Yellow Purple Purple Green Green\nGray Gray Orange Orange Orange Orange Pink Pink Pink Pink Red Red Pink Pink Green Green Green Green\nGray Gray Orange Orange Orange Orange Pink Pink Pink Pink Red Red Pink Pink Green Green Green Green\nBrown Brown Orange Orange Orange Orange Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nBrown Brown Orange Orange Orange Orange Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Yellow Yellow\n\n\nExample 3\nInput:\nBlue Blue Green Green Purple Purple Purple Purple Red Red Pink Pink Red Red Gray Gray Orange Orange\nBlue Blue Green Green Purple Purple Purple Purple Red Red Pink Pink Red Red Gray Gray Orange Orange\nPink Pink Green Green Pink Pink Pink Pink Gray Gray Green Green Pink Pink Gray Gray Purple Purple\nPink Pink Green Green Pink Pink Pink Pink Gray Gray Green Green Pink Pink Gray Gray Purple Purple\nGreen Green Purple Purple Gray Gray Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Yellow Yellow\nGreen Green Purple Purple Gray Gray Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Yellow Yellow\nBlue Blue Pink Pink Green Green Gray Gray Gray Gray Pink Pink Brown Brown Yellow Yellow Yellow Yellow\nBlue Blue Pink Pink Green Green Gray Gray Gray Gray Pink Pink Brown Brown Yellow Yellow Yellow Yellow\nGray Gray Red Red Pink Pink Gray Gray Blue Blue Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nGray Gray Red Red Pink Pink Gray Gray Blue Blue Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Red Red Green Green Yellow Yellow Gray Gray\nBlue Blue Blue Blue Blue Blue Green Green Blue Blue Red Red Green Green Yellow Yellow Gray Gray\nGreen Green Brown Brown Pink Pink Yellow Yellow Pink Pink Pink Pink Red Red Yellow Yellow Brown Brown\nGreen Green Brown Brown Pink Pink Yellow Yellow Pink Pink Pink Pink Red Red Yellow Yellow Brown Brown\nGray Gray Orange Orange Pink Pink Brown Brown Blue Blue Orange Orange Pink Pink Red Red Purple Purple\nGray Gray Orange Orange Pink Pink Brown Brown Blue Blue Orange Orange Pink Pink Red Red Purple Purple\n\nOutput:\nBlue Blue Green Green Purple Purple Purple Purple Red Red Pink Pink Red Red Gray Gray Orange Orange\nBlue Blue Green Green Purple Purple Purple Purple Red Red Pink Pink Red Red Gray Gray Orange Orange\nPink Pink Green Green Pink Pink Pink Pink Gray Gray Green Green Pink Pink Gray Gray Purple Purple\nPink Pink Green Green Pink Pink Pink Pink Gray Gray Green Green Pink Pink Gray Gray Purple Purple\nGreen Green Purple Purple Gray Gray Orange Orange Orange Orange Purple Purple Purple Purple Blue Blue Yellow Yellow\nGreen Green Purple Purple Gray Gray Orange Orange Orange Orange Purple Purple Purple Purple Blue Blue Yellow Yellow\nBlue Blue Pink Pink Green Green Gray Gray Orange Orange Pink Pink Brown Brown Yellow Yellow Yellow Yellow\nBlue Blue Pink Pink Green Green Gray Gray Orange Orange Pink Pink Brown Brown Yellow Yellow Yellow Yellow\nGray Gray Red Red Pink Pink Gray Gray Orange Orange Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nGray Gray Red Red Pink Pink Gray Gray Orange Orange Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nOrange Orange Blue Blue Blue Blue Green Green Blue Blue Red Red Green Green Yellow Yellow Gray Gray\nOrange Orange Blue Blue Blue Blue Green Green Blue Blue Red Red Green Green Yellow Yellow Gray Gray\nOrange Orange Brown Brown Pink Pink Yellow Yellow Pink Pink Pink Pink Red Red Yellow Yellow Brown Brown\nOrange Orange Brown Brown Pink Pink Yellow Yellow Pink Pink Pink Pink Red Red Yellow Yellow Brown Brown\nOrange Orange Orange Orange Pink Pink Brown Brown Blue Blue Orange Orange Pink Pink Red Red Purple Purple\nOrange Orange Orange Orange Pink Pink Brown Brown Blue Blue Orange Orange Pink Pink Red Red Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green Green Green Green Purple Purple\nGreen Green Green Green Green Green Green Green Purple Purple\nYellow Yellow Gray Gray Yellow Yellow Pink Pink Yellow Yellow\nYellow Yellow Gray Gray Yellow Yellow Pink Pink Yellow Yellow\nRed Red Orange Orange Green Green Gray Gray Blue Blue\nRed Red Orange Orange Green Green Gray Gray Blue Blue\nRed Red Pink Pink Green Green Blue Blue Gray Gray\nRed Red Pink Pink Green Green Blue Blue Gray Gray\nBlue Blue Orange Orange Brown Brown Red Red Red Red\nBlue Blue Orange Orange Brown Brown Red Red Red Red\nGray Gray Gray Gray Orange Orange Purple Purple Green Green\nGray Gray Gray Gray Orange Orange Purple Purple Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Green Green Green Green Green Green Purple Purple\nOrange Orange Green Green Green Green Green Green Purple Purple\nOrange Orange Gray Gray Yellow Yellow Pink Pink Yellow Yellow\nOrange Orange Gray Gray Yellow Yellow Pink Pink Yellow Yellow\nOrange Orange Orange Orange Green Green Gray Gray Blue Blue\nOrange Orange Orange Orange Green Green Gray Gray Blue Blue\nOrange Orange Pink Pink Green Green Blue Blue Gray Gray\nOrange Orange Pink Pink Green Green Blue Blue Gray Gray\nBlue Blue Orange Orange Brown Brown Red Red Red Red\nBlue Blue Orange Orange Brown Brown Red Red Red Red\nGray Gray Gray Gray Orange Orange Purple Purple Green Green\nGray Gray Gray Gray Orange Orange Purple Purple Green Green\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black\nBlack Black Yellow Yellow Black\nBlack Black Yellow Yellow Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Black Black Purple Purple\nPurple Black Yellow Purple Purple\nPurple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nPink Black Black Black Black\nBlack Black Green Green Black\nBlack Black Green Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Black Black Pink Pink\nPink Black Green Pink Pink\nPink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nOrange Black Black Black Black\nBlack Black Green Green Black\nBlack Black Green Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Black Black Orange Orange\nOrange Black Green Orange Orange\nOrange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black\nBlack Black Gray Gray Black\nBlack Black Gray Gray Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Black Black Gray Gray\nGray Black Gray Gray Gray\nGray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Blue Blue Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Blue Blue Brown Brown 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\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 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\nBrown Brown Blue Blue Brown Brown Blue Blue Brown Brown Black Black Black Black\nBrown Brown Blue Blue Brown Brown Blue Blue Brown Brown 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\nBrown Brown Blue Blue Brown Brown Blue Blue Brown Brown Black Black Black Black\nBrown Brown Blue Blue Brown Brown Blue Blue Brown Brown 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Brown Brown Red Red Black Black Black Black\nBlack Black Black Black Red Red Brown Brown Red Red Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nRed Red Brown Brown Red Red Brown Brown Red Red Black Black Black Black\nRed Red Brown Brown Red Red Brown Brown Red Red Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBrown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nRed Red Brown Brown Red Red Brown Brown Red Red Black Black Black Black\nRed Red Brown Brown Red Red Brown Brown Red Red 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 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 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 Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Orange Orange Brown Brown Black Black Black Black\nBlack Black Black Black Green Green Orange Orange Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Orange Orange Brown Brown Black Black Black Black\nBlack Black Black Black Green Green Orange Orange Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBrown Brown Orange Orange Green Green Orange Orange Brown Brown Black Black Black Black\nBrown Brown Orange Orange Green Green Orange Orange Brown Brown Black Black Black Black\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black\nBrown Brown Orange Orange Green Green Orange Orange Brown Brown Black Black Black Black\nBrown Brown Orange Orange Green Green Orange Orange Brown Brown Black Black Black Black\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black\nBrown Brown Orange Orange Green Green Orange Orange Brown Brown Black Black Black Black\nBrown Brown Orange Orange Green Green Orange Orange Brown Brown Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Pink\nYellow Orange\n\nOutput:\nGreen Green\nGreen Green\nGreen Green\nGreen Green\n\n\nExample 2\nInput:\nPink Yellow\nGreen Orange\n\nOutput:\nGreen Green\nGreen Green\nGreen Green\nGreen Green\n\n\nExample 3\nInput:\nOrange Brown\nGreen Gray\n\nOutput:\nGreen Green\nGreen Green\nGreen Green\nGreen Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray\nGray 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```\nGreen Green\nGreen Green\nGreen Green\nGreen 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\nBlack Brown Purple Brown Purple Brown Purple Black\nBlack Purple Brown Purple Brown Purple Brown Black\nBlack Brown Purple Brown Purple Brown Purple Black\nBlack Purple Brown Purple Brown Purple Brown Black\nBlack Brown Purple Brown Purple Brown Purple Black\nBlack Purple Brown Purple Brown Purple Brown Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPurple Brown Purple Brown Purple Brown\nBrown Purple Brown Purple Brown Purple\nPurple Brown Purple Brown Purple Brown\nBrown Purple Brown Purple Brown Purple\nPurple Brown Purple Brown Purple Brown\nBrown Purple Brown Purple Brown Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Brown Yellow Brown Yellow Black\nBlack Yellow Brown Yellow Brown Black\nBlack Brown Yellow Brown Yellow Black\nBlack Yellow Brown Yellow Brown Black\nBlack Black Black Black Black Black\n\nOutput:\nYellow Brown Yellow Brown\nBrown Yellow Brown Yellow\nYellow Brown Yellow Brown\nBrown Yellow Brown Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Green Brown Green Brown Black\nBlack Brown Green Brown Green Black\nBlack Green Brown Green Brown Black\nBlack Brown Green Brown Green Black\nBlack Black Black Black Black Black\n\nOutput:\nBrown Green Brown Green\nGreen Brown Green Brown\nBrown Green Brown Green\nGreen Brown Green Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Pink Orange Pink Orange Pink Black\nBlack Orange Pink Orange Pink Orange Black\nBlack Pink Orange Pink Orange Pink Black\nBlack Orange Pink Orange Pink Orange Black\nBlack Pink Orange Pink Orange Pink Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Orange Pink Orange Pink\nOrange Pink Orange Pink Orange\nPink Orange Pink Orange Pink\nOrange Pink Orange Pink Orange\nPink Orange Pink Orange 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 Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nPurple 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 Purple Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Gray 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 Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\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 Brown Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black\n\nOutput:\nBlack Brown Black Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black Brown 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Pink Black Pink Black Pink Black Pink Black Pink\nPink Black Pink Black Pink Black Pink Black Pink Black\nBlack Pink Black Pink Black Pink Black Pink Black Pink\nPink Black Pink Black Pink Black Pink Black Pink Black\nBlack Pink Black Pink Black Pink Black Pink Black Pink\nPink Black Pink Black Pink Black Pink Black Pink Black\nBlack Pink Black Pink Black Pink Black Pink Black Pink\nPink Black Pink Black Pink Black Pink Black Pink Black\nBlack Pink Black Pink Black Pink Black Pink Black Pink\nPink Black Pink Black Pink Black Pink Black Pink 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 Black Black Black\nBlack Purple Black Black Black Black\nPurple Black Black Black Black Black\n\nOutput:\nBlack Purple Black Purple Black Purple\nPurple Black Purple Black Purple Black\nBlack Purple Black Purple Black Purple\nPurple Black Purple Black Purple Black\nBlack Purple Black Purple Black Purple\nPurple Black Purple Black Purple 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 Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Green Black Black Black Black\nGreen Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\nGreen Black Green Black Green 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 Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black\nBlue 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Blue Blue Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack 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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown 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\nBlack 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 Yellow Yellow\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Black Black Black Black Black Black Black Black Black Black Orange Orange\nGreen Green Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Green Green Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Green Green Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Green Green Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Green Green Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Green Green Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Green Green Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Green Green Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Green Green\nOrange Orange Black Black Black Black Black Black Black Black Black Black Green Green\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Green Green\nOrange Orange Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Orange Orange Black Black Black Black Black Black Green Green Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Orange Orange Black Black Green Green Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Green Green 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 Green Green Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Green Green Black Black Orange Orange Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Green Green Black Black Black Black Black Black Orange Orange Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Orange Orange\nGreen Green Black Black Black Black Black Black Black Black Black Black Orange Orange\n\n\nExample 3\nInput:\nGray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Gray Gray Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Gray Gray Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Gray Gray Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray\n\nOutput:\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray\nPink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Pink Pink Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Gray Gray Black Black Black Black\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 Black Black Gray Gray Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Pink Pink Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Pink Pink Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Brown Brown Black Black Black Black Black Black\nBlack 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 Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBrown Brown Black Black Black Black Black Black 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 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 Black Black Black Black Black Black 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 Red Red\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown 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 Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Yellow Red Blue\nGreen Green Yellow Green Black\nYellow Green Yellow Yellow Green\nYellow Blue Blue Blue Red\nBlack Green Blue Red Black\n\nOutput:\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nGreen Black Black Green Yellow\nGreen Red Green Yellow Blue\nBlack Green Red Black Blue\nBlue Blue Yellow Blue Green\nRed Blue Red Black Yellow\n\nOutput:\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Yellow Red Blue Blue\nBlack Red Black Yellow Green\nGreen Green Black Red Blue\nYellow Blue Blue Red Black\nYellow Black Black Blue Green\n\nOutput:\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Red Blue Green Yellow\nBlue Black Red Yellow Red\nRed Yellow Black Red Yellow\nRed Yellow Yellow Yellow Red\nBlue Blue Black Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 Gray Gray Gray Black Black Pink Pink Pink Black\nBlack Gray Gray Gray Black Black Pink Pink Pink Black\nBlack Gray Gray Gray Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Purple Purple Purple Black Brown Brown Brown Black\nBlack Black Purple Purple Purple Black Brown Brown Brown Black\nBlack Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Pink Pink Black Black\nBlack Gray Gray Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Brown Brown Black Black\nBlack Black Purple Purple Black Black Brown Brown Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Red Red Red Black Black\nBlack Pink Pink Pink Red Red Red Black Black\nBlack Pink Pink Pink Red Red Red Black Black\nBlack Black Blue Blue Blue Green Green Green Black\nBlack Black Blue Blue Blue Green Green Green Black\nBlack Black Blue Blue Blue Green Green Green Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Red Red Red Black Black Black\nBlack Pink Pink Red Red Red Black Black Black\nBlack Black Pink Red Red Red Black Black Black\nBlack Black Blue Blue Green Green Green Black Black\nBlack Black Blue Blue Green Green Green 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 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 Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Pink Pink Pink Black Black\nBlack Green Green Green Black Black Pink Pink Pink Black Black\nBlack Green Green Green Black Black Pink Pink Pink 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 Pink Pink Pink Black Black Black\nBlack Black Gray Gray Gray Pink Pink Pink Black Black Black\nBlack Black Gray Gray Gray Pink Pink Pink Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Pink Pink Black Black Black\nBlack Green Green Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Gray Gray Pink Pink Pink Black Black Black Black\nBlack Black Gray Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Blue Blue Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black 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\nBlue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Black Yellow Black Black Black Black\nBlack Black Red Red Yellow Yellow 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 Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow 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 Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Blue Black Black Black\nBlack Black Black Black Red Blue Blue Black Black\nBlack Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\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 Blue Black Black\nBlack Black Black Black Black Yellow Yellow Red Black\nBlack Black Black Black Black Yellow Black Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Red Black Black\nBlack Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Blue Black Black Black Black Black\nYellow Yellow Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nOrange Black Black Black Black Purple Purple Orange Purple Purple Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Purple Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Purple Black Black Black\nBlack Black Black Black Black Black Black Orange Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Purple Purple Purple Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Pink Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Pink Black Black Black\nBlack Black Black Black Purple Purple Purple Pink Pink Black Black Black\nBlack Black Black Black Black Purple Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Orange Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Orange Black\nBlack Black Black Black Black Black Black Black Gray Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nOrange Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nOrange Gray Gray Orange Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Gray Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Gray Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Green Red Green\nGreen Red Green Green\nGreen Yellow Green Blue\nBlue Blue Green Yellow\nGreen Blue Blue Blue\n\nOutput:\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow\nRed Red Green Green Red Red Green Green\nYellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nGreen Green Red Red Green Green Green Green\nYellow Yellow Red Red Yellow Yellow Green Green\nGreen Green Yellow Yellow Green Green Blue Blue\nGreen Green Green Green Yellow Yellow Red Red\nBlue Blue Blue Blue Green Green Yellow Yellow\nYellow Yellow Green Green Green Green Green Green\nGreen Green Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nRed Red Blue Green Red\nYellow Blue Red Blue Yellow\nBlue Green Red Green Green\nBlue Red Blue Yellow Green\n\nOutput:\nBlue Blue Blue Blue Green Green Yellow Yellow Blue Blue\nRed Red Red Red Blue Blue Green Green Red Red\nRed Red Green Green Blue Blue Green Green Red Red\nYellow Yellow Blue Blue Red Red Blue Blue Yellow Yellow\nGreen Green Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Green Green Red Red Green Green Green Green\nGreen Green Blue Blue Green Green Red Red Yellow Yellow\nBlue Blue Red Red Blue Blue Yellow Yellow Green Green\n\n\nExample 3\nInput:\nYellow Blue Yellow Blue Yellow\nBlue Red Green Blue Yellow\nRed Green Red Blue Yellow\nBlue Yellow Green Blue Red\nBlue Blue Red Green Red\n\nOutput:\nRed Red Green Green Red Red Green Green Red Red\nYellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow\nGreen Green Blue Blue Yellow Yellow Green Green Red Red\nBlue Blue Red Red Green Green Blue Blue Yellow Yellow\nBlue Blue Yellow Yellow Blue Blue Green Green Red Red\nRed Red Green Green Red Red Blue Blue Yellow Yellow\nGreen Green Red Red Yellow Yellow Green Green Blue Blue\nBlue Blue Yellow Yellow Green Green Blue Blue Red Red\nGreen Green Green Green Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Red Red Green Green Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Green Red\nYellow Red Blue\nBlue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Yellow Yellow Blue Blue\nRed Red Green Green Red Red\nRed Red Blue Blue Green Green\nYellow Yellow Red Red Blue Blue\nGreen Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Green Black Black Black Black Green Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Green Black Black Black Black Green Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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 Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Brown Brown 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red\nBlack Black Red Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red\nBlack Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black 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 Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Red Red Black Black\nBlack Black Red Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red\nBlack Black Red Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Blue Blue Yellow Black Black Black Blue Blue\nBlack Blue Blue Black Yellow Yellow Black Black Blue Black\nBlack Blue Black Black Black Yellow Black Green Black Black\nBlack Black Black Black Black Yellow Black Green Green Green\nRed Red Black Yellow Yellow Yellow Green Green Green Black\nRed Red Red Black Black Orange Orange Black Green Black\nRed Red Red Red Red Black Orange Orange Orange Black\nBlack Red Red Black Black Black Black Orange Black Black\n\nOutput:\nBlack Green Black Black\nBlack Green Green Green\nGreen Green Green Black\nBlack Black Green Black\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Gray Black Brown Black Black Black Black\nBlack Black Gray Gray Gray Brown Brown Black Black Black\nBlack Black Black Gray Black Black Brown Black Black Black\nBrown Brown Black Black Black Black Black Black Gray Black\nBrown Brown Brown Black Black Black Gray Gray Gray Pink\nBrown Black Black Black Gray Gray Gray Pink Pink Pink\nBrown Black Black Black Black Gray Black Black Black Pink\nBrown Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Gray Black\nGray Gray Gray\nBlack Gray Black\n\n\nExample 3\nInput:\nBlack Black Black Pink Pink Pink Purple Black Black Black\nBlack Black Pink Pink Black Purple Purple Purple Black Black\nBlack Black Pink Black Black Black Purple Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Purple Purple Black Purple Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\n\nOutput:\nBlack Purple Black\nPurple Purple Purple\nBlack Purple 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 Blue Blue Blue Blue Blue Black Brown Brown Black\nBlack Blue Black Black Yellow Yellow Yellow Yellow Brown Brown\nBlack Blue Black Black Yellow Yellow Black Yellow Brown Black\nBlack Blue Black Pink Black Yellow Yellow Yellow Brown Black\nBlack Black Pink Pink Pink Black Yellow Yellow Gray Black\nBlack Black Black Pink Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Black\nPink Pink Pink\nBlack Pink Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Green Green Green Black Purple Purple Purple Black\nBlack Green Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Purple Purple Purple Black Black\nBlack Purple Purple Purple Black Black\nBlack Purple Purple Purple Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Green Black Black\nBlack Black Green Green Green Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Purple Purple Purple Black Black\nBlack Purple Purple Purple Black Black\nBlack Purple Purple Purple Black Black\nBlack Purple Purple Purple Black Black\nBlack Purple Purple Purple Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Green Black Black\nBlack Black Green Green Black Black\nBlack Black Black Green Black Black\nBlack Black Black Black Black Black\nBlack Black Purple Purple Purple Black\nBlack Black Purple Purple Purple Black\nBlack Black Purple Purple Purple Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Purple Purple Purple Black\nBlack Black Purple Purple Purple Black\nBlack Black Purple Purple Purple Black\nBlack Black Purple Purple Purple Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Black\nBlack Purple Purple Purple Black Black Green Black\nBlack Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple 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\nBlack Black Black Black 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 Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Gray Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Black\nYellow Black Yellow\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 Red Black Red Black Black Black\nBlack Black Black Black Black Gray Red Black Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black Black Black\n\nOutput:\nRed Black Red\nRed Black Red\nRed Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Pink Black Black Black Gray Pink Pink Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nPink Pink Pink\nBlack Pink Pink\nBlack Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Gray Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Yellow Black Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Blue Blue Black Black Black Black Black Black\nRed Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\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\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 Black Black\nBlack Black Black Black Red Blue Blue Black Black\nBlack Black Black Black Red Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red 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\nBlack Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red\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 Red Blue Blue Black\nBlack Black Black Black Black Red Blue Blue 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:\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Blue\nBlack Black Black Black Black Red Red Red Blue\nBlack Black Black Black Black Black 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:\nPurple Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black 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\n\n\nExample 2\nInput:\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Black Black\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 Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Orange\n\nOutput:\nBlack Black Yellow Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Pink Black\nBlack Black Black Black Pink Black Black Black Black Black Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Pink Black Black Orange Black Black\nBlack Black Black Black Black Black Orange Black Orange Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Yellow Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Yellow\nBlack Black Yellow Black Black Orange Black Black Black Black Black\nBlack Yellow Black Black Black Black Pink Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Pink Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Pink\nBlack Black Pink Black Black Yellow Black Black Black Black Black\nBlack Pink Black Black Black Black Orange Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Orange Black Orange Pink\nBlack Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Orange Yellow Black Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Yellow Black Yellow Orange\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Black Black Yellow Pink Black Orange Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\nBrown Brown Brown Black Black Black Black Black Yellow Yellow Yellow\nBrown Brown Brown Black Black Black Black Black Yellow Yellow Yellow\nBrown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Green Green 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 Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nGreen Green Green Black Black Black Black Purple Purple Purple 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 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\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 Red Red Red Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Red Red\nGray Gray Gray Black Black Red Red Red\nGray Gray Gray Black Black Black Black Black\nBlack Black Black Black Red Red Red Black\nBlack Black Black Black Red Red Red Black\nBlack Black Black Black Red Red Red 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 Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black 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 Yellow Black\nBlack Black Black Black Black Green Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nGreen Green Green Black Black Black Black Yellow Yellow Yellow\nGreen Green Green Black Black Black Black Yellow Yellow Yellow\nGreen Green Green 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 Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Black\nOrange Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBrown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black\nBrown Brown Brown Brown Brown Black\nBrown Brown Brown Black Black Black\nGreen Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Black\nBlack Black Black Black Black Black\nGreen Green Green Green Green Black\nGreen Green Green Black Black Black\nGreen Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Black\nGray Gray Black Black Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Black\nGray Gray Black Black Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Black\nGray Black Black Black Black Gray Black Black\nRed Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Red Red Red Black\nRed Red Red Red Red Red Red Black\nRed Red Black Black Red Red Red Black\nRed Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Black\nRed Black Black Black Black Red Black Black\nRed 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:\nBrown Brown Brown Brown Black\nBrown Brown Black Brown Black\nBrown Brown Black Brown Black\nBrown Brown Brown Brown Black\nGreen 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 Green Black\nGreen Green Black Green Black\nGreen Green Green Green Black\nGreen Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red 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\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 Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Blue Blue Red Red Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Red Red Black Black Black Black\nBlack Black Pink Pink Brown Brown Pink Pink Black Black Black Black\nBlack Black Pink Pink Brown Brown Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Red Red Black Black Black Black\nBlack Black Red Red 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 Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow 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\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Red Black Black Black Black Blue Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Yellow Green Blue Yellow Yellow Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Red Blue Blue Black\nBlack Black Black Green Yellow Black Black Red Black Red Blue Yellow\nBlack Black Black Red Green Black Blue Black Black Black Yellow Black\nBlack Green Black Black Black Black Black Black Red Black Black Black\n\nOutput:\nBlack Black Blue Black Black Black Black Green Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Yellow Green Red Red Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Blue Green Green Black\nBlack Black Black Yellow Red Black Black Blue Black Blue Green Red\nBlack Black Black Blue Yellow Black Green Black Black Black Red Black\nBlack Yellow Black Black Black Black Black Black Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Blue Red Red Black Yellow\nBlack Black Black Blue Black Black Green Black Black Black\nBlack Black Black Blue Black Black Black Black Yellow Black\nBlue Blue Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Green Blue Blue Black Red\nBlack Black Black Green Black Black Yellow Black Black Black\nBlack Black Black Green Black Black Black Black Red Black\nGreen Green Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Green Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Black Black Green Black Black Black Green Black Black Black\nYellow Black Red Black Black Black Black Black Blue Red Black\nBlue Green Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Red Black Black Yellow Black Black Red Yellow\nRed Black Red Blue Black Blue Black Yellow Blue Green Yellow\nBlack Black Black Red Yellow Black Black Green Black Black Blue\n\nOutput:\nRed Black Black Yellow Black Black Black Yellow Black Black Black\nRed Black Blue Black Black Black Black Black Green Blue Black\nGreen Yellow Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Blue Black Black Red Black Black Blue Red\nBlue Black Blue Green Black Green Black Red Green Yellow Red\nBlack Black Black Blue Red Black Black Yellow Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Red Yellow Black Black Black Black\nBlack Black Black Red Black Red Black Yellow Black\nBlack Black Red Black Blue Black Green Black Black\nGreen Black Black Black Black Black Green Black Black\nGreen Blue Black Black Green Red Black Black Black\nBlack Blue Black Black Yellow Yellow Black Black Green\nBlack Black Green Yellow Black Green Black Yellow Black\nGreen Black Green Black Black Black Red Black Blue\nGreen Black Green Yellow Blue Black Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Blue Black Red Black\nBlack Black Blue Black Green Black Yellow Black Black\nYellow Black Black Black Black Black Yellow Black Black\nYellow Green Black Black Yellow Blue Black Black Black\nBlack Green Black Black Red Red Black Black Yellow\nBlack Black Yellow Red Black Yellow Black Red Black\nYellow Black Yellow Black Black Black Blue Black Green\nYellow Black Yellow Red Green Black Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nPink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nPink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow\nBrown Brown Brown Orange Orange Orange Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Brown Brown Brown Pink Pink Pink\nBrown Brown Brown Orange Orange Orange Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Brown Brown Brown Pink Pink Pink\nBrown Brown Brown Orange Orange Orange Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Brown Brown Brown Pink Pink Pink\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue Blue Blue Blue\nGray Gray Gray Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown Purple Purple Purple Purple Purple Purple Green Green Green\nGray Gray Gray Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown Purple Purple Purple Purple Purple Purple Green Green Green\nGray Gray Gray Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown Purple Purple Purple Purple Purple Purple Green Green Green\nPink Pink Pink Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPink Pink Pink Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nPink Pink Pink Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown\nOrange Orange Orange Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown\nOrange Orange Orange Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Orange Orange Orange Red Red Red Green Green Green Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Purple Purple Purple\nBrown Brown Brown Orange Orange Orange Red Red Red Green Green Green Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Purple Purple Purple\nBrown Brown Brown Orange Orange Orange Red Red Red Green Green Green Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Purple Purple Purple\nGreen Green Green Blue Blue Blue Orange Orange Orange Green Green Green Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Blue Blue Blue\nGreen Green Green Blue Blue Blue Orange Orange Orange Green Green Green Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Blue Blue Blue\nGreen Green Green Blue Blue Blue Orange Orange Orange Green Green Green Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray Blue Blue Blue\n\nOutput:\nBlue Blue Blue Green Green Green Blue Blue Blue Orange Orange Orange Green Green Green Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray\nBlue Blue Blue Green Green Green Blue Blue Blue Orange Orange Orange Green Green Green Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray\nBlue Blue Blue Green Green Green Blue Blue Blue Orange Orange Orange Green Green Green Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray\nYellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray\nPink Pink Pink Brown Brown Brown Orange Orange Orange Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Brown Brown Brown\nPink Pink Pink Brown Brown Brown Orange Orange Orange Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Brown Brown Brown\nPink Pink Pink Brown Brown Brown Orange Orange Orange Gray Gray Gray Green Green Green Yellow Yellow Yellow Green Green Green Brown Brown Brown\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Purple Purple Purple Orange Orange Orange Gray Gray Gray Orange Orange Orange Blue Blue Blue\nGreen Green Green Gray Gray Gray Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown Purple Purple Purple Purple Purple Purple\nGreen Green Green Gray Gray Gray Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown Purple Purple Purple Purple Purple Purple\nGreen Green Green Gray Gray Gray Brown Brown Brown Orange Orange Orange Blue Blue Blue Brown Brown Brown Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple\nBrown Brown Brown Orange Orange Orange Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Orange Orange Orange Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nBrown Brown Brown Orange Orange Orange Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Orange Orange Orange Red Red Red Green Green Green Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Orange Orange Orange Red Red Red Green Green Green Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Orange Orange Orange Red Red Red Green Green Green Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\n\n\nExample 2\nInput:\nYellow Yellow Yellow Red Red Red Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Red Red Red\nYellow Yellow Yellow Red Red Red Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Red Red Red\nYellow Yellow Yellow Red Red Red Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange Red Red Red\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue Purple Purple Purple\nRed Red Red Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Green Green Green Gray Gray Gray\nRed Red Red Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Green Green Green Gray Gray Gray\nRed Red Red Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Green Green Green Gray Gray Gray\nGreen Green Green Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Red Red Red Pink Pink Pink\nGreen Green Green Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Red Red Red Pink Pink Pink\nGreen Green Green Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Red Red Red Pink Pink Pink\nPink Pink Pink Purple Purple Purple Brown Brown Brown Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray\nPink Pink Pink Purple Purple Purple Brown Brown Brown Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray\nPink Pink Pink Purple Purple Purple Brown Brown Brown Green Green Green Purple Purple Purple Pink Pink Pink Gray Gray Gray\nBlue Blue Blue Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Gray Gray Gray Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Gray Gray Gray Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nRed Red Red Yellow Yellow Yellow Red Red Red Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nRed Red Red Yellow Yellow Yellow Red Red Red Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nRed Red Red Yellow Yellow Yellow Red Red Red Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue\nGray Gray Gray Red Red Red Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Green Green Green\nGray Gray Gray Red Red Red Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Green Green Green\nGray Gray Gray Red Red Red Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Green Green Green\nPink Pink Pink Green Green Green Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Red Red Red\nPink Pink Pink Green Green Green Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Red Red Red\nPink Pink Pink Green Green Green Blue Blue Blue Purple Purple Purple Pink Pink Pink Blue Blue Blue Red Red Red\nGray Gray Gray Pink Pink Pink Purple Purple Purple Brown Brown Brown Green Green Green Purple Purple Purple Pink Pink Pink\nGray Gray Gray Pink Pink Pink Purple Purple Purple Brown Brown Brown Green Green Green Purple Purple Purple Pink Pink Pink\nGray Gray Gray Pink Pink Pink Purple Purple Purple Brown Brown Brown Green Green Green Purple Purple Purple Pink Pink Pink\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Blue Blue Blue\n\n\nExample 3\nInput:\nBrown Brown Brown Orange Orange Orange Blue Blue Blue Purple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow\nBrown Brown Brown Orange Orange Orange Blue Blue Blue Purple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow\nBrown Brown Brown Orange Orange Orange Blue Blue Blue Purple Purple Purple Blue Blue Blue Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Orange Orange Orange Gray Gray Gray Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Orange Orange Orange Gray Gray Gray Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Orange Orange Orange Gray Gray Gray Brown Brown Brown Blue Blue Blue\nYellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray Green Green Green Green Green Green Orange Orange Orange\nYellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray Green Green Green Green Green Green Orange Orange Orange\nYellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray Green Green Green Green Green Green Orange Orange Orange\nRed Red Red Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow\nGreen Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple Blue Blue Blue Green Green Green Brown Brown Brown\nGreen Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple Blue Blue Blue Green Green Green Brown Brown Brown\nGreen Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple Blue Blue Blue Green Green Green Brown Brown Brown\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green Pink Pink Pink\nPurple Purple Purple Green Green Green Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Green Green Green Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Green Green Green Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue Purple Purple Purple\nPink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nPink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nPink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\n\nOutput:\nBlue Blue Blue Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nBlue Blue Blue Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nBlue Blue Blue Pink Pink Pink Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue Purple Purple Purple Blue Blue Blue Red Red Red\nYellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue Purple Purple Purple Blue Blue Blue Red Red Red\nYellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue Purple Purple Purple Blue Blue Blue Red Red Red\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Orange Orange Orange Gray Gray Gray Brown Brown Brown\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Orange Orange Orange Gray Gray Gray Brown Brown Brown\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Orange Orange Orange Gray Gray Gray Brown Brown Brown\nOrange Orange Orange Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray Green Green Green Green Green Green\nOrange Orange Orange Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray Green Green Green Green Green Green\nOrange Orange Orange Yellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray Green Green Green Green Green Green\nYellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Blue Blue Blue\nYellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Blue Blue Blue\nYellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green Pink Pink Pink Gray Gray Gray Blue Blue Blue\nBrown Brown Brown Green Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple Blue Blue Blue Green Green Green\nBrown Brown Brown Green Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple Blue Blue Blue Green Green Green\nBrown Brown Brown Green Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple Blue Blue Blue Green Green Green\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green\nPink Pink Pink Orange Orange Orange Orange Orange Orange Red Red Red Yellow Yellow Yellow Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Green Green Green Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Green Green Green Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Green Green Green Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Gray Gray Gray Gray Gray Gray\nPink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Gray Gray Gray Gray Gray Gray\nPink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Pink Pink Pink Purple Purple Purple Red Red Red Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray Purple Purple Purple\nGray Gray Gray Pink Pink Pink Purple Purple Purple Red Red Red Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray Purple Purple Purple\nGray Gray Gray Pink Pink Pink Purple Purple Purple Red Red Red Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray Purple Purple Purple\nGreen Green Green Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Orange Orange Orange Red Red Red Orange Orange Orange\nGreen Green Green Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Orange Orange Orange Red Red Red Orange Orange Orange\nGreen Green Green Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Orange Orange Orange Red Red Red Orange Orange Orange\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Purple Purple Purple Green Green Green\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Purple Purple Purple Green Green Green\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Purple Purple Purple Green Green Green\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple\nGray Gray Gray Brown Brown Brown Orange Orange Orange Purple Purple Purple Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Green Green Green\nGray Gray Gray Brown Brown Brown Orange Orange Orange Purple Purple Purple Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Green Green Green\nGray Gray Gray Brown Brown Brown Orange Orange Orange Purple Purple Purple Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Green Green Green\nBrown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nBrown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nBrown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Blue Blue Blue Orange Orange Orange Red Red Red\nBlue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Blue Blue Blue Orange Orange Orange Red Red Red\nBlue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Blue Blue Blue Orange Orange Orange Red Red Red\nPink Pink Pink Pink Pink Pink Gray Gray Gray Orange Orange Orange Green Green Green Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Gray Gray Gray Orange Orange Orange Green Green Green Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Gray Gray Gray Orange Orange Orange Green Green Green Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Pink Pink Pink Pink Pink Pink Gray Gray Gray Orange Orange Orange Green Green Green Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Pink Pink Pink Pink Pink Pink Gray Gray Gray Orange Orange Orange Green Green Green Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Pink Pink Pink Pink Pink Pink Gray Gray Gray Orange Orange Orange Green Green Green Purple Purple Purple Yellow Yellow Yellow Blue Blue Blue\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Gray Gray Gray\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Red Red Red Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Red Red Red Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Purple Purple Purple Red Red Red Purple Purple Purple Orange Orange Orange Brown Brown Brown Gray Gray Gray\nOrange Orange Orange Green Green Green Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Orange Orange Orange Red Red Red\nOrange Orange Orange Green Green Green Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Orange Orange Orange Red Red Red\nOrange Orange Orange Green Green Green Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Purple Purple Purple Orange Orange Orange Red Red Red\nGreen Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Purple Purple Purple\nGreen Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Purple Purple Purple\nGreen Green Green Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Red Red Red Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nGreen Green Green Gray Gray Gray Brown Brown Brown Orange Orange Orange Purple Purple Purple Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red\nGreen Green Green Gray Gray Gray Brown Brown Brown Orange Orange Orange Purple Purple Purple Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red\nGreen Green Green Gray Gray Gray Brown Brown Brown Orange Orange Orange Purple Purple Purple Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red\nPink Pink Pink Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Yellow Yellow Yellow\nPink Pink Pink Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Yellow Yellow Yellow\nPink Pink Pink Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Green Green Green Pink Pink Pink Yellow Yellow Yellow\nRed Red Red Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Blue Blue Blue Orange Orange Orange\nRed Red Red Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Blue Blue Blue Orange Orange Orange\nRed Red Red Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Green Green Green Red Red Red Blue Blue Blue Orange Orange Orange\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"
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"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Red Red Black Black\nRed Red Black Black Black Black Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nRed Red Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Black Black Red Red\nRed Red Black Black Black Black Red Red Red Red Black Black Red Red\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red\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\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 Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nPurple Purple Black Black Black Black Red Red Red Red Black Black Black Black\nPurple Purple Black Black Black Black Red Red Red Red Black Black Black Black\nPurple Purple Black Black Black Black Red Red Red Red Black Black Red Red\nPurple Purple Black Black Black Black Red Red Red Red Black Black Red Red\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Red Red Red Red\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\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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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"
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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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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"
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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 Yellow Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black\nBlack Pink Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Orange Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Orange Purple Black Black Black\nBlack Black Black Black Black Pink 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 Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Gray Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Green Black\nBlack Orange Black Black Green Black Black Black Black Black\nBlack Pink Black Pink Black Black Black Black Black Black\nBlack Black Orange Black Black Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\n\n\nExample 3\nInput:\nYellow Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Gray Orange Black Black Black Black Black Black\nBlue Black Black Black Black Orange Black Black Orange 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 Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black Black\nBlue 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 Yellow Black\nBlack Blue 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 Brown Black Green Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGray Black Black Blue Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Brown\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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Brown Black Yellow Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGray Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Red\nBlack Black Black Black Black Black Black Black Black Green\nBlack Blue Blue Black Black Black Black Black Black Green\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Blue 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 Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Blue Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Green Black\nBlue Red Black Black Yellow Black Black Green Green Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nGreen Black Black Black Black Red Green Green Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Green Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nGray Blue Purple Red Yellow Orange Yellow Blue Blue Orange Purple Green\nBrown Pink Yellow Red Orange Purple Brown Blue Purple Orange Purple Green\nGray Red Gray Brown Brown Gray Purple Purple Pink Red Yellow Gray\nBrown Pink Orange Pink Purple Pink Green Orange Purple Blue Gray Red\nOrange Red Gray Green Blue Pink Red Purple Brown Red Yellow Gray\nGray Gray Orange Gray Orange Brown Pink Blue Yellow Green Green Brown\nGreen Blue Green Pink Yellow Gray Gray Pink Gray Orange Green Blue\nRed Green Brown Blue Orange Brown Brown Brown Orange Pink Blue Pink\nRed Orange Brown Brown Purple Red Orange Gray Pink Brown Orange Orange\nPink Purple Gray Green Brown Gray Pink Yellow Yellow Green Brown Orange\nGreen Gray Green Yellow Pink Purple Pink Green Blue Red Gray Pink\nYellow Green Gray Pink Red Red Gray Orange Brown Yellow Pink Pink\n\nOutput:\nGray Blue Purple Red Yellow Orange Yellow Blue Blue Orange Purple Green\nBrown Pink Yellow Red Orange Purple Brown Blue Purple Orange Purple Green\nGray Red Gray Brown Brown Gray Purple Purple Pink Red Yellow Gray\nBrown Pink Orange Pink Purple Pink Green Orange Purple Blue Gray Red\nOrange Red Gray Green Blue Pink Red Purple Brown Red Yellow Gray\nGray Gray Orange Gray Orange Brown Pink Blue Yellow Green Green Brown\nBrown Green Green Yellow Blue Pink Gray Orange Gray Orange Gray Gray\nGray Yellow Red Brown Purple Red Pink Brown Green Gray Red Orange\nRed Gray Blue Purple Orange Green Pink Purple Pink Orange Pink Brown\nGray Yellow Red Pink Purple Purple Gray Brown Brown Green Red Gray\nGreen Purple Orange Purple Blue Brown Purple Orange Red Yellow Gray Brown\nGreen Purple Orange Blue Blue Yellow Orange Yellow Red Purple Blue Pink\n\n\nExample 2\nInput:\nBlue Brown Yellow Green Yellow Brown Brown Pink\nOrange Brown Green Brown Green Purple Blue Orange\nPurple Purple Pink Gray Gray Yellow Pink Red\nRed Pink Brown Purple Green Orange Red Green\nRed Red Purple Pink Pink Blue Blue Red\nRed Red Orange Green Orange Yellow Green Red\nPink Purple Pink Brown Brown Blue Gray Yellow\nBrown Pink Orange Orange Green Gray Yellow Purple\n\nOutput:\nBlue Brown Yellow Green Yellow Brown Brown Pink\nOrange Brown Green Brown Green Purple Blue Orange\nPurple Purple Pink Gray Gray Yellow Pink Red\nRed Pink Brown Purple Green Orange Red Green\nGreen Red Orange Green Pink Brown Pink Red\nRed Pink Yellow Gray Gray Yellow Purple Purple\nOrange Blue Purple Green Brown Green Gray Orange\nPink Brown Brown Yellow Green Yellow Brown Purple\n\n\nExample 3\nInput:\nGreen Pink Pink Red Blue Green Blue Green Green\nGray Green Yellow Orange Pink Purple Pink Red Green\nRed Green Brown Brown Red Red Green Gray Pink\nBrown Gray Yellow Green Red Brown Green Orange Purple\nPurple Purple Blue Green Red Red Gray Blue Blue\nYellow Orange Green Orange Red Brown Pink Red Red\nYellow Gray Pink Blue Blue Red Red Green Gray\nBlue Blue Pink Yellow Orange Yellow Brown Blue Gray\nPurple Orange Pink Purple Pink Pink Red Red Purple\n\nOutput:\nGreen Pink Pink Red Blue Green Blue Green Green\nGray Green Yellow Orange Pink Purple Pink Red Green\nRed Green Brown Brown Red Red Green Gray Pink\nBrown Gray Yellow Green Red Brown Green Orange Purple\nPurple Purple Blue Green Red Green Blue Purple Purple\nPurple Orange Green Brown Red Brown Yellow Gray Brown\nPink Gray Green Red Red Brown Red Green Red\nGreen Red Pink Purple Pink Orange Yellow Blue Gray\nGreen Green Blue Green Blue Red Pink Pink Purple\n\n\nHere is the input grid for the test example:\nInput:\nYellow Orange Green Gray Red Brown Green Green Gray\nGreen Pink Orange Red Brown Purple Pink Green Green\nGray Brown Purple Pink Green Gray Orange Red Blue\nYellow Green Gray Orange Green Blue Green Blue Orange\nRed Brown Red Gray Green Brown Blue Orange Blue\nGray Pink Brown Brown Brown Purple Gray Brown Blue\nBrown Gray Purple Green Brown Orange Yellow Pink Brown\nGreen Orange Gray Purple Red Blue Red Gray Yellow\nGray Orange Brown Pink Blue Brown Green Brown Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Orange Green Gray Red Brown Green Green Gray\nGreen Pink Orange Red Brown Purple Pink Green Green\nGray Brown Purple Pink Green Gray Orange Red Blue\nYellow Green Gray Orange Green Blue Green Blue Orange\nRed Brown Red Gray Green Gray Red Brown Red\nOrange Blue Green Blue Green Purple Gray Green Yellow\nBlue Red Orange Gray Green Pink Yellow Brown Gray\nGreen Green Pink Purple Brown Red Orange Gray Green\nGray Green Green Brown Red Gray Green Orange Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange 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 Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 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 Blue 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPink Gray Green Brown Gray Purple Brown Orange\nYellow Gray Pink Purple Red Red Pink Pink\nPurple Pink Purple Purple Purple Yellow Brown Pink\nBrown Black Purple Purple Purple Gray Yellow Orange\nPink Green Purple Purple Purple Orange Blue Brown\nPink Pink Red Pink Black Orange Red Red\nRed Orange Green Yellow Purple Orange Purple Pink\nGreen Green Brown Red Pink Orange Yellow Gray\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nPink Green Black Blue Red Gray Black\nYellow Blue Pink Brown Purple Brown Black\nOrange Purple Pink Pink Pink Yellow Purple\nPurple Orange Pink Pink Pink Orange Purple\nGray Pink Pink Pink Pink Black Pink\nPurple Gray Red Red Brown Green Green\nPink Green Black Orange Orange Gray Pink\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\nPink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nYellow Purple Green Green Blue Brown Red\nBlack Pink Orange Gray Pink Yellow Gray\nBrown Brown Orange Orange Orange Black Orange\nGreen Pink Orange Orange Orange Red Orange\nBlack Black Orange Orange Orange Purple Red\nPink Yellow Blue Green Gray Orange Brown\nBrown Pink Yellow Gray Orange Brown Purple\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Brown Yellow Red Gray Purple Yellow Purple Black\nGray Yellow Gray Yellow Gray Purple Purple Pink Gray\nGray Gray Orange Purple Green Black Pink Pink Gray\nBrown Yellow Black Gray Gray Gray Blue Gray Brown\nBrown Purple Blue Gray Gray Gray Orange Pink Black\nPink Green Orange Gray Gray Gray Red Yellow Pink\nBlue Gray Red Red Purple Pink Orange Orange Green\nBlack Red Brown Brown Blue Orange Orange Purple Pink\nPurple Green Black Gray Black Green Yellow Yellow 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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\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\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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\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\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nBrown Brown Brown Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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\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\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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\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\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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"
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]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
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{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 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 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 Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\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:\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black 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```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red Red Red Red Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Green Green Green Green Green Green Red Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Orange Orange Orange Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Red Red Red Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Red Red Red Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Orange Orange Orange Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green Red Red Red Orange Orange Orange Red Red Red Red Red Red\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green Red Red Red Orange Orange Orange Red Red Red Red Red Red\nRed Red Red Red Red Red Green Green Green Green Green Green Green Green Green Red Red Red Orange Orange Orange Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Orange Orange Orange Red Red Red Red Red Red\nRed Red Red Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Black Black Black Black Black Gray\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlue Black Black Black Black Black Purple\n\nOutput:\nBrown Black Black Black Black Brown\nBlack Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black\nBrown Black Black Black Black Brown\n\n\nExample 2\nInput:\nOrange Black Black Black Black Purple\nBlack Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Black\nPink Black Black Black Black Gray\n\nOutput:\nOrange Black Black Black Black Black Orange\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nOrange Black Black Black Black Black Orange\n\n\nExample 3\nInput:\nPink Black Black Black Black Black Blue\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nGray Black Black Black Black Black Orange\n\nOutput:\nPink Black Black Black Black Black Pink\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nPink Black Black Black Black Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Orange\nBlack Pink Pink Pink Black\nBlack Pink Pink Pink Black\nBlack Pink Pink Pink Black\nYellow Black Black Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Black Red\nBlack Red Red Red Black\nBlack Red Red Red Black\nBlack Red Red Red Black\nRed Black Black Black Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Brown Black Black Black Black Black Black Black Black Black\nPink Pink Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\nPurple Purple Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Yellow Yellow Yellow Black\nBlack Gray Gray Gray Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown 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 Green Black Black Black Black Black Black\n\nOutput:\nGray Gray Purple Purple Purple Black Black Black Black Black Black\nGray Gray Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBrown Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black\nBlack Black Black 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```\nBrown Brown Brown Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black\nBrown Pink Blue Blue Blue Black Black Black Black\nBrown Pink Blue Blue Blue Black Black Black Black\nBrown Pink Pink Pink Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Purple Orange Pink Yellow Pink Brown Purple Gray Pink\n\nOutput:\nPink Gray Purple Brown Pink Yellow Pink Orange Purple Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Purple Orange Pink Yellow Pink Brown Purple Gray Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray\nPink Orange Yellow Blue Red Green Pink\n\nOutput:\nPink Green Red Blue Yellow Orange Pink\nGray Gray Gray Gray Gray Gray Gray\nPink Orange Yellow Blue Red Green Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray\nOrange Gray Brown Yellow Yellow Red Green\n\nOutput:\nGreen Red Yellow Yellow Brown Gray Orange\nGray Gray Gray Gray Gray Gray Gray\nOrange Gray Brown Yellow Yellow Red Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Pink Gray Green Pink Brown Gray Brown Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Brown Gray Brown Pink Green Gray Pink Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Pink Gray Green Pink Brown Gray Brown Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange 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 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 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 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 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 Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink 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 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 Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange 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 Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink 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 Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink 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 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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 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 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 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 Brown Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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 Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray 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 Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\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 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue\nBlack Black Gray Black Black Black Black Blue Blue Blue\nBlack Gray Gray Gray Black Black Black Blue Blue Blue\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Pink Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black Black Black\nBlack Black Black Pink Green Green Green Black Black Black\nBlack Black Black Black Black Green Green 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 Gray Gray Gray Black\nBlack Black Red Black Black Black Black Gray Gray Black\nBlack Red Red Red Black Black Gray Gray Gray Black\nBlack Black Red Black Black Black Black Pink Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black\nBlack Blue Black Black Black Black Brown Black Black Black\nBlue Blue Blue Black Black Black Brown Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Red Red Red Black Black\nOrange Orange Orange Black Black Black Red Red Black Black\nBlack Orange Black Black Black Black Black Red Black Black\nBlack 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 Brown Black Black Black Black\nGreen Green Green Black Brown Brown Brown Black Black Black\nBlack Green Black Black Black Brown Black Black Black Black\nBlack Green Black Black Black Black Black Black Pink Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Pink Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black 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.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Black 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\nYellow Yellow Yellow Yellow Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Black Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Black Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Black Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray 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\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\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Red Red Red Red Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Red Red Red Red Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Red Red Red Red Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Red Red Red Red Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange 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:\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Yellow Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Brown Brown Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Brown Brown Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Brown Brown Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow 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 Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Orange Black Black Black Black Black Black Black Black\nGreen Green Orange Orange Orange Black Black Black Black Black Black Black\nGreen Orange Orange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange 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 Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Pink Black\nBlack Green Black Black Gray Black Black Black Black Pink Pink Pink\nGreen Green Green Black Black Black Black Black Pink Pink Pink Pink\nGreen Green Green Green Black Black Black Pink Pink Pink Pink Pink\nGreen Green Green Green Green Black Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Black Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Green Black Black Black Black Black Pink Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Yellow Black\nBlack Yellow Black Black Yellow Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack 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\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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green 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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\n\nOutput:\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black\n\nOutput:\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\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\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\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\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink 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:\nOrange Orange Brown Brown Brown Brown Gray Gray Yellow Yellow Orange Orange Orange Orange Brown Brown Red Red\nOrange Orange Brown Brown Brown Brown Gray Gray Yellow Yellow Orange Orange Orange Orange Brown Brown Red Red\nRed Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Yellow Yellow Orange Orange Red Red\nRed Red Gray Gray Gray Gray Red Red Gray Gray Gray Gray Yellow Yellow Orange Orange Red Red\nOrange Orange Brown Brown Gray Gray Red Red Orange Orange Brown Brown Gray Gray Orange Orange Brown Brown\nOrange Orange Brown Brown Gray Gray Red Red Orange Orange Brown Brown Gray Gray Orange Orange Brown Brown\nGray Gray Brown Brown Red Red Red Red Orange Orange Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow\nGray Gray Brown Brown Red Red Red Red Orange Orange Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow\nYellow Yellow Brown Brown Gray Gray Orange Orange Red Red Brown Brown Red Red Red Red Brown Brown\nYellow Yellow Brown Brown Gray Gray Orange Orange Red Red Brown Brown Red Red Red Red Brown Brown\nGray Gray Orange Orange Brown Brown Orange Orange Red Red Red Red Orange Orange Gray Gray Orange Orange\nGray Gray Orange Orange Brown Brown Orange Orange Red Red Red Red Orange Orange Gray Gray Orange Orange\nYellow Yellow Red Red Orange Orange Orange Orange Red Red Gray Gray Gray Gray Orange Orange Brown Brown\nYellow Yellow Red Red Orange Orange Orange Orange Red Red Gray Gray Gray Gray Orange Orange Brown Brown\nYellow Yellow Brown Brown Orange Orange Orange Orange Brown Brown Red Red Gray Gray Yellow Yellow Yellow Yellow\nYellow Yellow Brown Brown Orange Orange Orange Orange Brown Brown Red Red Gray Gray Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Orange Orange Red Red Yellow Yellow Orange Orange Brown Brown Brown Brown Gray Gray\nBrown Brown Brown Brown Orange Orange Red Red Yellow Yellow Orange Orange Brown Brown Brown Brown Gray Gray\n\nOutput:\nOrange Orange Brown Brown Brown Brown Gray Gray Yellow Yellow Orange Orange Orange Orange Brown Brown Red Red\nOrange Orange Brown Brown Brown Brown Gray Gray Yellow Yellow Orange Orange Orange Orange Brown Brown Red Red\nYellow Yellow Yellow Yellow Gray Gray Red Red Gray Gray Gray Gray Yellow Yellow Orange Orange Red Red\nYellow Yellow Yellow Yellow Gray Gray Red Red Gray Gray Gray Gray Yellow Yellow Orange Orange Red Red\nYellow Yellow Yellow Yellow Gray Gray Red Red Orange Orange Brown Brown Gray Gray Orange Orange Brown Brown\nYellow Yellow Yellow Yellow Gray Gray Red Red Orange Orange Brown Brown Gray Gray Orange Orange Brown Brown\nGray Gray Brown Brown Red Red Red Red Orange Orange Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow\nGray Gray Brown Brown Red Red Red Red Orange Orange Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow\nYellow Yellow Brown Brown Gray Gray Orange Orange Red Red Brown Brown Red Red Red Red Brown Brown\nYellow Yellow Brown Brown Gray Gray Orange Orange Red Red Brown Brown Red Red Red Red Brown Brown\nGray Gray Orange Orange Brown Brown Orange Orange Red Red Red Red Orange Orange Gray Gray Orange Orange\nGray Gray Orange Orange Brown Brown Orange Orange Red Red Red Red Orange Orange Gray Gray Orange Orange\nYellow Yellow Red Red Orange Orange Orange Orange Red Red Gray Gray Gray Gray Orange Orange Brown Brown\nYellow Yellow Red Red Orange Orange Orange Orange Red Red Gray Gray Gray Gray Orange Orange Brown Brown\nYellow Yellow Brown Brown Orange Orange Orange Orange Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Brown Brown Orange Orange Orange Orange Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Orange Orange Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nBrown Brown Brown Brown Orange Orange Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Gray Gray\n\n\nExample 2\nInput:\nBrown Brown Red Red Green Green Green Green Brown Brown Brown Brown Red Red Green Green\nBrown Brown Red Red Green Green Green Green Brown Brown Brown Brown Red Red Green Green\nBrown Brown Green Green Brown Brown Red Red Pink Pink Green Green Orange Orange Green Green\nBrown Brown Green Green Brown Brown Red Red Pink Pink Green Green Orange Orange Green Green\nRed Red Red Red Red Red Pink Pink Red Red Pink Pink Orange Orange Pink Pink\nRed Red Red Red Red Red Pink Pink Red Red Pink Pink Orange Orange Pink Pink\nPink Pink Orange Orange Orange Orange Red Red Pink Pink Orange Orange Orange Orange Pink Pink\nPink Pink Orange Orange Orange Orange Red Red Pink Pink Orange Orange Orange Orange Pink Pink\nOrange Orange Orange Orange Brown Brown Brown Brown Brown Brown Pink Pink Orange Orange Brown Brown\nOrange Orange Orange Orange Brown Brown Brown Brown Brown Brown Pink Pink Orange Orange Brown Brown\nPink Pink Red Red Pink Pink Green Green Red Red Orange Orange Red Red Brown Brown\nPink Pink Red Red Pink Pink Green Green Red Red Orange Orange Red Red Brown Brown\n\nOutput:\nBrown Brown Red Red Green Green Green Green Green Green Green Green Red Red Green Green\nBrown Brown Red Red Green Green Green Green Green Green Green Green Red Red Green Green\nBrown Brown Green Green Brown Brown Red Red Green Green Green Green Orange Orange Green Green\nBrown Brown Green Green Brown Brown Red Red Green Green Green Green Orange Orange Green Green\nRed Red Red Red Red Red Pink Pink Red Red Pink Pink Orange Orange Pink Pink\nRed Red Red Red Red Red Pink Pink Red Red Pink Pink Orange Orange Pink Pink\nPink Pink Orange Orange Orange Orange Red Red Pink Pink Orange Orange Orange Orange Pink Pink\nPink Pink Orange Orange Orange Orange Red Red Pink Pink Orange Orange Orange Orange Pink Pink\nOrange Orange Orange Orange Green Green Green Green Brown Brown Pink Pink Orange Orange Brown Brown\nOrange Orange Orange Orange Green Green Green Green Brown Brown Pink Pink Orange Orange Brown Brown\nPink Pink Red Red Green Green Green Green Red Red Orange Orange Red Red Brown Brown\nPink Pink Red Red Green Green Green Green Red Red Orange Orange Red Red Brown Brown\n\n\nExample 3\nInput:\nGray Gray Yellow Yellow Gray Gray Red Red Red Red Brown Brown Gray Gray\nGray Gray Yellow Yellow Gray Gray Red Red Red Red Brown Brown Gray Gray\nYellow Yellow Red Red Brown Brown Yellow Yellow Blue Blue Red Red Red Red\nYellow Yellow Red Red Brown Brown Yellow Yellow Blue Blue Red Red Red Red\nYellow Yellow Brown Brown Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Brown Brown Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Gray Gray Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Gray Gray Yellow Yellow\nGray Gray Brown Brown Brown Brown Yellow Yellow Blue Blue Red Red Blue Blue\nGray Gray Brown Brown Brown Brown Yellow Yellow Blue Blue Red Red Blue Blue\nRed Red Gray Gray Blue Blue Blue Blue Red Red Yellow Yellow Gray Gray\nRed Red Gray Gray Blue Blue Blue Blue Red Red Yellow Yellow Gray Gray\nRed Red Yellow Yellow Gray Gray Yellow Yellow Gray Gray Blue Blue Blue Blue\nRed Red Yellow Yellow Gray Gray Yellow Yellow Gray Gray Blue Blue Blue Blue\n\nOutput:\nGray Gray Yellow Yellow Gray Gray Red Red Red Red Brown Brown Gray Gray\nGray Gray Yellow Yellow Gray Gray Red Red Red Red Brown Brown Gray Gray\nYellow Yellow Red Red Brown Brown Brown Brown Blue Blue Red Red Red Red\nYellow Yellow Red Red Brown Brown Brown Brown Blue Blue Red Red Red Red\nYellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Gray Gray Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Gray Gray Yellow Yellow\nGray Gray Brown Brown Brown Brown Brown Brown Blue Blue Red Red Blue Blue\nGray Gray Brown Brown Brown Brown Brown Brown Blue Blue Red Red Blue Blue\nRed Red Gray Gray Brown Brown Brown Brown Red Red Yellow Yellow Gray Gray\nRed Red Gray Gray Brown Brown Brown Brown Red Red Yellow Yellow Gray Gray\nRed Red Yellow Yellow Gray Gray Yellow Yellow Gray Gray Blue Blue Blue Blue\nRed Red Yellow Yellow Gray Gray Yellow Yellow Gray Gray Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Blue Blue Brown Brown Gray Gray Red Red Brown Brown Red Red Purple Purple Brown Brown Gray Gray\nBrown Brown Blue Blue Brown Brown Gray Gray Red Red Brown Brown Red Red Purple Purple Brown Brown Gray Gray\nBrown Brown Gray Gray Gray Gray Purple Purple Red Red Purple Purple Gray Gray Gray Gray Brown Brown Blue Blue\nBrown Brown Gray Gray Gray Gray Purple Purple Red Red Purple Purple Gray Gray Gray Gray Brown Brown Blue Blue\nPurple Purple Red Red Blue Blue Brown Brown Red Red Gray Gray Blue Blue Brown Brown Blue Blue Gray Gray\nPurple Purple Red Red Blue Blue Brown Brown Red Red Gray Gray Blue Blue Brown Brown Blue Blue Gray Gray\nBlue Blue Purple Purple Red Red Red Red Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Gray Gray\nBlue Blue Purple Purple Red Red Red Red Blue Blue Blue Blue Purple Purple Purple Purple Blue Blue Gray Gray\nPurple Purple Gray Gray Purple Purple Gray Gray Brown Brown Purple Purple Purple Purple Red Red Purple Purple Gray Gray\nPurple Purple Gray Gray Purple Purple Gray Gray Brown Brown Purple Purple Purple Purple Red Red Purple Purple Gray Gray\nBrown Brown Blue Blue Purple Purple Blue Blue Blue Blue Gray Gray Brown Brown Brown Brown Gray Gray Red Red\nBrown Brown Blue Blue Purple Purple Blue Blue Blue Blue Gray Gray Brown Brown Brown Brown Gray Gray Red Red\nBlue Blue Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Blue Blue Red Red Brown Brown\nBlue Blue Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Blue Blue Red Red Brown Brown\nRed Red Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Brown Brown Blue Blue Red Red Brown Brown\nRed Red Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Brown Brown Blue Blue Red Red Brown Brown\nRed Red Brown Brown Purple Purple Brown Brown Blue Blue Gray Gray Red Red Red Red Gray Gray Purple Purple\nRed Red Brown Brown Purple Purple Brown Brown Blue Blue Gray Gray Red Red Red Red Gray Gray Purple Purple\nBlue Blue Brown Brown Red Red Brown Brown Blue Blue Brown Brown Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Brown Brown Red Red Brown Brown Blue Blue Brown Brown Red Red Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Blue Blue Brown Brown Gray Gray Red Red Brown Brown Red Red Purple Purple Brown Brown Gray Gray\nBrown Brown Blue Blue Brown Brown Gray Gray Red Red Brown Brown Red Red Purple Purple Brown Brown Gray Gray\nBrown Brown Gray Gray Gray Gray Purple Purple Red Red Purple Purple Gray Gray Gray Gray Brown Brown Blue Blue\nBrown Brown Gray Gray Gray Gray Purple Purple Red Red Purple Purple Gray Gray Gray Gray Brown Brown Blue Blue\nPurple Purple Red Red Blue Blue Brown Brown Gray Gray Gray Gray Blue Blue Brown Brown Blue Blue Gray Gray\nPurple Purple Red Red Blue Blue Brown Brown Gray Gray Gray Gray Blue Blue Brown Brown Blue Blue Gray Gray\nBlue Blue Purple Purple Red Red Red Red Gray Gray Gray Gray Purple Purple Purple Purple Blue Blue Gray Gray\nBlue Blue Purple Purple Red Red Red Red Gray Gray Gray Gray Purple Purple Purple Purple Blue Blue Gray Gray\nPurple Purple Gray Gray Purple Purple Gray Gray Brown Brown Purple Purple Purple Purple Red Red Purple Purple Gray Gray\nPurple Purple Gray Gray Purple Purple Gray Gray Brown Brown Purple Purple Purple Purple Red Red Purple Purple Gray Gray\nBrown Brown Blue Blue Purple Purple Blue Blue Blue Blue Gray Gray Brown Brown Brown Brown Gray Gray Red Red\nBrown Brown Blue Blue Purple Purple Blue Blue Blue Blue Gray Gray Brown Brown Brown Brown Gray Gray Red Red\nBlue Blue Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Blue Blue Red Red Brown Brown\nBlue Blue Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Blue Blue Red Red Brown Brown\nRed Red Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Brown Brown Blue Blue Red Red Brown Brown\nRed Red Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Brown Brown Blue Blue Red Red Brown Brown\nRed Red Brown Brown Purple Purple Brown Brown Blue Blue Gray Gray Red Red Gray Gray Gray Gray Purple Purple\nRed Red Brown Brown Purple Purple Brown Brown Blue Blue Gray Gray Red Red Gray Gray Gray Gray Purple Purple\nBlue Blue Brown Brown Red Red Brown Brown Blue Blue Brown Brown Red Red Gray Gray Gray Gray Blue Blue\nBlue Blue Brown Brown Red Red Brown Brown Blue Blue Brown Brown Red Red Gray Gray Gray Gray Blue Blue\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink 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 Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Black Black\nBlack Black Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nGreen Green Green Green Green\nGreen Green Green Green Green\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nGreen Green Green Green Green\nGreen Green Green Green Green\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGreen Green Green Green Green\nGreen Green Green Green Green\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGray 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```\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Blue Black Black Black Gray Red Pink Black Black\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Blue Black\nBlack Black Black Blue Black Blue Red Blue Black Purple Purple Purple\nBlack Black Black Black Black Pink Pink Pink Blue Purple Blue Blue\nBlack Black Black Black Black Purple Blue Purple Black Orange Black Black\nBlack Black Black Black Black Purple Black Purple Black Orange Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlue Red Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Red Brown Red Red Black Orange Blue Orange Black Black\nBlack Brown Brown Brown Black Black Black Black Orange Black Black Black\nBlack Black Red Brown Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Gray Black Black Gray Purple Red Purple\nBlack Black Blue Black Black Pink Black Black Pink Yellow Red Yellow\nBlack Black Black Black Black Pink Pink Pink Pink Black Orange Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Orange Black\nBlack Black Black Black Black Gray Black Black Gray Black Orange 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 Orange Black Black Black Black Black Black Black Black Black Black\nOrange Blue Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Orange Orange Black Black Black Black Black Black Black\nPurple Pink Purple Purple Orange Black Black Black Black Blue Black Black\nPurple Pink Purple Purple Orange Black Black Black Black Blue Blue Blue\nBlack Black Black Orange Orange Black Black Black Blue Blue Blue Black\nBlack Black Gray Black Black Black Black Black Black Black Blue Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Blue Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray 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 Gray Black Black Black Black Black Black Black Black Black Black\nBlack Blue Gray Gray Gray Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Gray Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Pink Black Pink Black Black Black Red Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Brown Red Brown Black Black Black\nBlack Black Black Gray Black Gray Black Black Brown Black Brown Black Black Black\nBlack Black Black Pink Green Pink Black Black Yellow Yellow Yellow Black Black Black\nBlack Blue Black Red Green Red Black Black Black Black Black Black Black Black\nBlack Blue Purple Purple Black Black Black Black Black Black Black Blue Green Purple\nBlack Yellow Black Pink Black Black Orange Orange Black Black Black Pink Green Orange\nBlack Black Black Blue Black Black Orange Blue Orange Orange Black Pink Pink Black\nBlack Black Black Pink Black Orange Blue Blue Blue Orange Black Pink Green Orange\nBlack Black Black Black Black Orange Orange Blue Orange Black Black Blue Green Purple\nBlack Black Black Black Black Black Black Orange Orange 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Blue Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Blue Blue Blue Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Blue Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nBlack Yellow Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Green Black Black Black\nBlack Green Green Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Green Green Black Black Black\nBlack Green Green Black Black Black\nBlack Green Green Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Green Green Green Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Yellow Black Black\nBlack Yellow Black Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Green Black Black\nBlack Green Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow\nYellow Black Black Purple Purple Black Yellow\nYellow Black Black Purple Purple Black Yellow\nYellow Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow\nYellow Black Black Yellow Yellow Black Yellow\nYellow Black Black Yellow Yellow Black Yellow\nYellow Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Black Black Brown\nBrown Black Black Black Blue Blue Blue Black Brown\nBrown Black Black Pink Blue Pink Pink Black Brown\nBrown Black Black Black Pink Black Pink Black Brown\nBrown Black Black Black Black Black Pink Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Black Black Brown\nBrown Black Black Black Brown Brown Brown Black Brown\nBrown Black Black Brown Brown Brown Brown Black Brown\nBrown Black Black Black Brown Black Brown Black Brown\nBrown Black Black Black Black Black Brown Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Pink\nPink Black Blue Blue Blue Blue Blue Blue Pink\nPink Black Blue Blue Blue Black Blue Blue Pink\nPink Black Blue Blue Blue Blue Blue Black Pink\nPink Black Blue Blue Blue Blue Blue Black Pink\nPink Black Blue Blue Blue Black Blue Blue Pink\nPink Black Blue Blue Blue Blue Blue Blue Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Black Pink Pink Pink\nPink Black Pink Pink Pink Pink Pink Black Pink\nPink Black Pink Pink Pink Pink Pink Black Pink\nPink Black Pink Pink Pink Black Pink Pink Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Gray Black Black Black Yellow\nYellow Black Black Gray Gray Gray Black Black Yellow\nYellow Black Gray Gray Pink Gray Gray Black Yellow\nYellow Black Black Gray Gray Gray Black Black Yellow\nYellow Black Black Black Gray Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Yellow Black Black Black Yellow\nYellow Black Black Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Black Yellow Yellow Yellow Black Black Yellow\nYellow Black Black Black Yellow Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Orange Green Green Green 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 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 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 Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Purple Purple Purple Red Red Red\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Purple Purple Purple Red Red Red\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Purple Purple Purple Red Red Red\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Purple Purple Purple Red Red Red\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Purple Purple Purple Red Red Red\nRed Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Green Green Green Yellow Yellow Yellow Purple Purple Purple Red Red Red\nBlack Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Blue Blue Blue Orange Orange Orange 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 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 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 Black Black Black\nOrange Orange Orange Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Orange Orange Orange\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nPink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nPink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nPink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nPink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nPink Pink Pink Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Green Green Green\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Green Green Green\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Green Green Green\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Green Green Green\nGreen Green Green Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Green Green Green\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray 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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black\nBlack Black Brown Gray Gray Black Black Black\nBlack Black Black Gray 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 Brown Black Black Black\nBlack Black Black Gray Gray Gray Black Black\nBlack Black Black Black Gray 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Brown Yellow Brown Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\n\n\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 Red Black Black Black Black\nBlack Black Green Green Green Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Green Black Black Black\nBlack Black Black Green Green Red Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Orange Black Black Black Black Black\nPurple Black Brown Black Black Black Purple Orange\nPurple Black Brown Black Pink Black Purple Pink\nBlack Black Black Black Blue Black Black Black\nOrange Black Purple Black Black Purple Black Brown\nBlack Black Black Brown Black Orange Brown Green\nBrown Black Black Yellow Purple Black Green Pink\nOrange Black Orange Yellow Black Yellow Yellow Black\n\nOutput:\nBlack Red Orange Black Black Black Black Black\nPurple Black Brown Black Black Black Purple Orange\nPurple Black Brown Black Pink Black Purple Pink\nBlack Black Black Black Blue Black Black Black\nOrange Black Purple Black Black Purple Black Brown\nBlack Black Black Brown Black Orange Brown Green\nBrown Black Black Green Purple Black Green Pink\nOrange Black Orange Green Black Green Green Black\n\n\nExample 2\nInput:\nBlack Black Brown Black Yellow Yellow Purple\nPurple Black Black Brown Brown Black Black\nBlack Green Green Black Black Black Black\nPink Black Black Red Pink Yellow Purple\nOrange Black Black Blue Black Yellow Black\nOrange Black Black Red Black Pink Red\nPurple Black Black Red Blue Black Black\n\nOutput:\nBlack Black Brown Black Green Green Purple\nPurple Black Black Brown Brown Black Black\nBlack Green Green Black Black Black Black\nPink Black Black Red Pink Green Purple\nOrange Black Black Blue Black Green Black\nOrange Black Black Red Black Pink Red\nPurple Black Black Red Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Orange Pink Black Black Brown Black Green\nPurple Black Red Purple Black Black Blue Black Black\nOrange Purple Black Black Black Black Black Red Black\nOrange Black Yellow Yellow Black Yellow Green Black Purple\nGreen Black Black Black Black Yellow Black Black Orange\nBlack Black Orange Green Blue Brown Purple Red Pink\nBlack Black Green Black Purple Black Black Purple Black\n\nOutput:\nBlack Black Orange Pink Black Black Brown Black Green\nPurple Black Red Purple Black Black Blue Black Black\nOrange Purple Black Black Black Black Black Red Black\nOrange Black Green Green Black Green Green Black Purple\nGreen Black Black Black Black Green Black Black Orange\nBlack Black Orange Green Blue Brown Purple Red Pink\nBlack Black Green Black Purple Black Black Purple Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Blue Brown Black Pink Black Black\nBlack Black Black Black Black Black Orange Brown Black\nBlack Black Red Black Black Orange Black Black Black\nBrown Black Black Black Orange Black Green Black Black\nBlue Black Black Black Black Orange Orange Black Orange\nOrange Pink Black Black Green Red Blue Black Orange\nBlack Purple Blue Black Black Blue Black Pink Green\nGreen Black Orange Black Yellow Black Black Black Brown\nPurple Black Black Red Yellow Black Purple Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Blue Blue Brown Black Pink Black Black\nBlack Black Black Black Black Black Orange Brown Black\nBlack Black Red Black Black Orange Black Black Black\nBrown Black Black Black Orange Black Green Black Black\nBlue Black Black Black Black Orange Orange Black Orange\nOrange Pink Black Black Green Red Blue Black Orange\nBlack Purple Blue Black Black Blue Black Pink Green\nGreen Black Orange Black Green Black Black Black Brown\nPurple Black Black Red Green Black Purple 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 Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Red Red Red Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Red Red Red Brown\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Brown Red Red Red Brown\nBlack Green Brown Green Black Black Black Black Black Black Black Black Black Brown Red Red Red Brown\nBlack Green Brown Green Black Black Black Black Black Black Black Black Black Brown Red Red Red Brown\nBlack Green Brown Green Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Green Green Green Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Gray Gray Purple Black Brown Brown Brown Brown Brown Brown Brown\nBlack Blue Blue Blue Black Black Purple Gray Gray Purple Black Brown Purple Purple Purple Purple Purple Brown\nBlack Blue Gray Blue Black Black Purple Gray Gray Purple Black Brown Brown Brown Brown Brown Brown Brown\nBlack Blue Gray Blue Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Blue Gray Blue Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Blue Gray Blue Black Black Black Black Black Black Black Pink Brown Brown Brown Brown Pink Black\nBlack Blue Gray Blue Black Black Black Black Black Black Black Pink Brown Brown Brown Brown Pink Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Pink Brown Brown Brown Brown Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Brown Brown Brown Brown Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Red\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Purple Orange Orange Orange Orange Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Orange Orange Orange Orange Purple Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Purple Orange Orange Orange Orange Purple Black Green Purple Purple Purple Purple Purple Green Black Black Black\nBlack Black Black Black Black Black Purple Orange Orange Orange Orange Purple Black Green Purple Purple Purple Purple Purple Green Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Pink Pink Pink Gray Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Gray Pink Pink Pink Gray Black Black Black Black Black Black Black Black Black Black\nGreen Yellow Yellow Green Black Black Black Black Gray Gray Gray Gray Gray Black Black Orange Orange Orange Orange Orange Orange Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Orange Green Green Green Green Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Green Green Green Green Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Green Green Green Green Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\n\nOutput:\nBlack Black Black Black 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 Black Black Black Red Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Red\nBlack Black Black Black 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 Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Pink Pink Pink Pink Pink Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Pink Pink Pink Pink Pink Blue\nBlack Red Red Red Red Red Red Red Black Black Blue Pink Pink Pink Pink Pink Blue\nBlack Red Orange Orange Orange Orange Orange Red Black Black Blue Pink Pink Pink Pink Pink Blue\nBlack Red Orange Orange Orange Orange Orange Red Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Red Orange Orange Orange Orange Orange Red Black Black Black Black Black Black Black Black Black\nBlack Red Orange Orange Orange Orange Orange Red Black Black Black Black Black Black Black Black Black\nBlack Red Orange Orange Orange Orange Orange Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Blue Blue Blue Blue Blue Brown Black Black Black Black Black Black Black Black Black Black\nBrown Blue Blue Blue Blue Blue Brown Black Black Pink Pink Pink Pink Pink Pink Black Black\nBrown Blue Blue Blue Blue Blue Brown Black Black Pink Purple Purple Purple Purple Pink Black Black\nBrown Blue Blue Blue Blue Blue Brown Black Black Pink Purple Purple Purple Purple Pink Black Black\nBrown Brown Brown Brown Brown Brown Brown Black Black Pink Purple Purple Purple Purple Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Purple Purple Purple Purple Pink Black Black\nBlack 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 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 Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Red Red Red Red Red Red Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Red Blue Blue Blue Blue Red Black Pink Yellow Yellow Yellow Yellow Pink\nBlack Black Black Black Black Red Red Red Red Red Red Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Red Pink Pink Red Black Brown Purple Purple Purple Purple Brown Black Black Black Black Black Black\nBlack Red Pink Pink Red Black Brown Purple Purple Purple Purple Brown Black Black Black Black Black Black\nBlack Red Pink Pink Red Black Brown Brown Brown Brown Brown Brown Black Black Black Purple Purple Purple\nBlack Red Pink Pink Red Black Black Black Black Black Black Black Black Black Black Purple Gray Purple\nBlack Red Pink Pink Red Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Red Red Red Red 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 Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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"
}
]
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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 Red Red Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Red Red Black Black Red Red Black Black\nYellow Yellow Black Black Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nBlack 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 Orange Orange\nBrown Brown Black Black Pink Pink Black Black Black Black Black Black Red Red Black Black\nBrown Brown Black Black Pink Pink Black Black Black Black Black Black Red Red Black Black\nOrange Orange Black Black Gray Gray Black Black Black Black Black Black Blue Blue Black Black\nOrange Orange Black Black Gray Gray Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Purple Purple Black Black Black Black Blue Blue Black Black Pink Pink Black Black\nBrown Brown Purple Purple Black Black Black Black Blue Blue Black Black Pink Pink Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Yellow Yellow 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 Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown\nBrown 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\nBlue Blue Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Orange Orange Brown Brown\nBlue Blue Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Orange Orange Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red\nBrown Brown Brown Brown Pink Pink Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown\nBrown Brown Brown Brown Pink Pink Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown\nRed Red Brown Brown Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown\nRed Red Brown Brown Gray Gray Brown Brown Brown Brown Brown Brown Yellow Yellow Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Brown Brown Brown Brown\nBrown 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\nBrown Brown Purple Purple Brown Brown Brown Brown Yellow Yellow Brown Brown Pink Pink Brown Brown\nBrown Brown Purple Purple Brown Brown Brown Brown Yellow Yellow Brown Brown Pink Pink Brown Brown\nBrown Brown Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown\nBrown Brown Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown\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 Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Brown Brown Black Black\nPurple Purple Black Black Black Black Black Black Black Black Brown Brown Black Black\nPink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Green Green Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown\nPurple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown\nBrown Brown Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\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 Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Brown Brown Brown Brown 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Black Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\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:\nPink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange 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 Pink Pink Pink Black Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Black Pink Pink Pink Pink Black Black Black\nBlack Pink Black Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink 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:\nYellow Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange 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 Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black Gray Gray Gray Gray 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Black Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Black Gray Gray Gray Black\nBlack Gray Black Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Black Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Gray Gray Black\nBlack Black Gray Gray Black\nBlack Black Gray Gray Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Blue Blue Blue Black\nBlack Blue Blue Blue Black\nBlack 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 Yellow Black Yellow Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Blue Blue Black Black Black\nBlack Blue Black Black Black Black\nBlack Blue Blue Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Green Green 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 Blue Black Black\nBlack Blue Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Black Black 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 Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black 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 Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlue Blue Blue Black Black 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 Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Blue\nBlue Blue Blue Black Black 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 Black Black Blue Blue Blue\n\n\nExample 2\nInput:\nBlue Blue Blue Black 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 Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue 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 Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlue Blue Blue Black 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 Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlue Blue Blue Black 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 Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Black 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 Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue 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 Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlue Blue Blue Black 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 Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlue Blue Blue Black 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 Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Black Black Black 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 Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black 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 Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black 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 Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\nBrown Brown Brown Brown Blue Blue Blue Blue\nBrown Brown Brown Brown Blue Blue Blue Blue\nBrown Brown Brown Brown Blue Blue Blue Blue\nBrown Brown Brown Brown Blue Blue Blue Blue\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\nYellow Yellow Purple Purple Black Black Black Black\nYellow Yellow Purple Purple Black Black Black Black\nBrown Brown Blue Blue Black Black Black Black\nBrown Brown Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Pink Pink Pink Pink\nOrange Orange Orange Orange Pink Pink Pink Pink\nOrange Orange Orange Orange Pink Pink Pink Pink\nOrange Orange Orange Orange Pink Pink Pink Pink\nGreen Green Green Green Purple Purple Purple Purple\nGreen Green Green Green Purple Purple Purple Purple\nGreen Green Green Green Purple Purple Purple Purple\nGreen Green Green Green Purple Purple Purple Purple\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\nOrange Orange Pink Pink Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black\nGreen Green Purple Purple Black Black Black Black\nGreen Green Purple Purple Black Black Black Black\n\n\nExample 3\nInput:\nPink Pink Pink Pink Blue Blue Blue Blue\nPink Pink Pink Pink Blue Blue Blue Blue\nPink Pink Pink Pink Blue Blue Blue Blue\nPink Pink Pink Pink Blue Blue Blue Blue\nGray Gray Gray Gray Green Green Green Green\nGray Gray Gray Gray Green Green Green Green\nGray Gray Gray Gray Green Green Green Green\nGray Gray Gray Gray Green Green Green Green\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\nPink Pink Blue Blue Black Black Black Black\nPink Pink Blue Blue Black Black Black Black\nGray Gray Green Green Black Black Black Black\nGray Gray Green Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Purple Purple Purple Purple\nRed Red Red Red Gray Gray Gray Gray\nRed Red Red Red Gray Gray Gray Gray\nRed Red Red Red Gray Gray Gray Gray\nRed Red Red Red 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```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBrown Brown Purple Purple Black Black Black Black\nBrown Brown Purple Purple Black Black Black Black\nRed Red Gray Gray Black Black Black Black\nRed Red Gray Gray Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Black Black Black\n\n\nExample 2\nInput:\nGreen Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black\nGreen 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\nBlack 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\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Orange Orange Black Black Black\n\n\nExample 3\nInput:\nPurple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink 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\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Blue Blue 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 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black 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 Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\n\nOutput:\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\n\n\nExample 2\nInput:\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\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Blue Blue Black Black Black Black 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 Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black\n\nOutput:\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black Black Black Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlue Blue Blue Red Red Red Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nRed Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nRed Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\n\n\nExample 3\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 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 Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\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\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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\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\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue 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 Blue 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 Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Pink Pink Black\nPink Pink Pink Pink\nPink Pink Pink Pink\nBlack Pink Pink 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 Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue 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\nBlue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Black\nYellow Yellow Yellow\nYellow 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 Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlack Pink Pink Pink\nBlack Pink Pink Pink\nPink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Pink Pink Brown Brown\nGray Orange Blue Blue Green Green\nBlue Blue Blue Blue Orange Red\nYellow Yellow Gray Blue Blue Brown\n\nOutput:\nOrange Orange Pink Pink Brown Brown Brown Brown Pink Pink Orange Orange\nGray Orange Blue Blue Green Green Green Green Blue Blue Orange Gray\nBlue Blue Blue Blue Orange Red Red Orange Blue Blue Blue Blue\nYellow Yellow Gray Blue Blue Brown Brown Blue Blue Gray Yellow Yellow\n\n\nExample 2\nInput:\nRed Red Orange Orange\nOrange Orange Orange Orange\nGreen Orange Blue Orange\nGreen Purple Pink Blue\nOrange Yellow Yellow Blue\n\nOutput:\nRed Red Orange Orange Orange Orange Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange\nGreen Orange Blue Orange Orange Blue Orange Green\nGreen Purple Pink Blue Blue Pink Purple Green\nOrange Yellow Yellow Blue Blue Yellow Yellow Orange\n\n\nExample 3\nInput:\nOrange Orange Purple Brown Orange\nBlue Orange Brown Brown Purple\nBlue Gray Red Red Red\nGray Gray Red Blue Gray\nGray Brown Yellow Gray Pink\n\nOutput:\nOrange Orange Purple Brown Orange Orange Brown Purple Orange Orange\nBlue Orange Brown Brown Purple Purple Brown Brown Orange Blue\nBlue Gray Red Red Red Red Red Red Gray Blue\nGray Gray Red Blue Gray Gray Blue Red Gray Gray\nGray Brown Yellow Gray Pink Pink Gray Yellow Brown Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Blue Purple\nBlue Blue Yellow\nBlue Pink Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Blue Purple Purple Blue Pink\nBlue Blue Yellow Yellow Blue Blue\nBlue Pink Red Red Pink Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\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 Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple 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\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 Black Black Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\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 Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red 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 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 Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red 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 Green Green 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 Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red 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 Red 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 Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red 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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red 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 Red 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 Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red 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 Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Purple Purple Purple Purple Gray Gray Pink Pink Black Black\nBlack Black Pink Pink Purple Purple Purple Purple Gray Gray Pink Pink Black Black\nBlack Black Gray Gray Orange Orange Blue Blue Orange Orange Purple Purple Black Black\nBlack Black Gray Gray Orange Orange Blue Blue Orange Orange Purple Purple Black Black\nBlack Black Purple Purple Blue Blue Red Red Blue Blue Purple Purple Black Black\nBlack Black Purple Purple Blue Blue Red Red Blue Blue Purple Purple Black Black\nBlack Black Purple Purple Orange Orange Blue Blue Orange Orange Gray Gray Black Black\nBlack Black Purple Purple Orange Orange Blue Blue Orange Orange Gray Gray Black Black\nBlack Black Pink Pink Gray Gray Purple Purple Purple Purple Pink Pink Black Black\nBlack Black Pink Pink Gray Gray Purple Purple Purple Purple Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Pink Pink Purple Purple Purple Purple Gray Gray Pink Pink Green Green\nGreen Green Pink Pink Purple Purple Purple Purple Gray Gray Pink Pink Green Green\nGreen Green Gray Gray Orange Orange Blue Blue Orange Orange Purple Purple Green Green\nGreen Green Gray Gray Orange Orange Blue Blue Orange Orange Purple Purple Green Green\nGreen Green Purple Purple Blue Blue Red Red Blue Blue Purple Purple Green Green\nGreen Green Purple Purple Blue Blue Red Red Blue Blue Purple Purple Green Green\nGreen Green Purple Purple Orange Orange Blue Blue Orange Orange Gray Gray Green Green\nGreen Green Purple Purple Orange Orange Blue Blue Orange Orange Gray Gray Green Green\nGreen Green Pink Pink Gray Gray Purple Purple Purple Purple Pink Pink Green Green\nGreen Green Pink Pink Gray Gray Purple Purple Purple Purple Pink Pink Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\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 Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Blue Blue Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Blue Blue Blue Blue Blue Blue Green Green\nGreen Green Blue Blue Blue Blue Blue Blue Green Green\nGreen Green Blue Blue Yellow Yellow Blue Blue Green Green\nGreen Green Blue Blue Yellow Yellow Blue Blue Green Green\nGreen Green Blue Blue Blue Blue Blue Blue Green Green\nGreen Green Blue Blue Blue Blue Blue Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Red Red\nBlack Black Black Black Black Black Red Red Green Green Red Red\nBlack Black Black Black Black Black Green Green Brown Brown Green Green\nBlack Black Black Black Black Black Green Green Brown Brown Green Green\nBlack Black Black Black Black Black Red Red Green Green Red Red\nBlack Black Black Black Black Black Red Red Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Red Red Green Green Red Red Green Green\nGreen Green Red Red Green Green Red Red Green Green\nGreen Green Green Green Brown Brown Green Green Green Green\nGreen Green Green Green Brown Brown Green Green Green Green\nGreen Green Red Red Green Green Red Red Green Green\nGreen Green Red Red Green Green Red Red Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 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\nBlack Black Black Black Black Orange Orange Orange Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Gray Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange\nOrange Orange Orange\nOrange Orange Gray\nOrange Orange Orange\nOrange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Gray Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black 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```\nYellow Yellow Gray Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
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