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BARC 17

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Orange Green Green Black Black Black Black Black Black\nBlack Orange Black Pink Black Black Black Black Black Black\nBlack Orange Black Pink Black Black Black Purple Black Black\nPink Orange Black Pink Black Black Black Purple Black Black\nBlack Orange Black Pink Black Black Black Purple Black Black\nBlack Orange Black Black Black Black Black Purple Black Black\nBlack Orange Black Purple Black Black Black Purple Black Black\nBlack Black Black Purple Black Black Black Purple Black Black\nBlack Black Black Orange Black Black Black Purple Black Black\nBlack Black Black Orange Black Black Black Purple Black Black\nBlack Black Black Orange Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Orange Green Green Red Red Red Red Red Red\nRed Orange Red Pink Red Red Red Red Red Red\nRed Orange Red Pink Red Red Red Purple Red Red\nPink Orange Red Pink Red Red Red Purple Red Red\nRed Orange Red Pink Red Red Red Purple Red Red\nRed Orange Red Red Red Red Red Purple Red Red\nRed Orange Red Purple Red Red Red Purple Red Red\nRed Red Red Purple Red Red Red Purple Red Red\nRed Red Red Orange Red Red Red Purple Red Red\nRed Red Red Orange Red Red Red Purple Red Red\nRed Red Red Orange Red Red Red Purple Red Red\nRed Red Red Red Red Red Red Red Red Red\nOrange Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Brown Black Black Black Black Black Black Orange\nBlack Black Brown Black Black Black Black Black Black Orange\nGreen Green Green Green Green Green Green Green Black Orange\nOrange Black Brown Black Black Black Black Black Black Orange\nBlack Black Brown Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\n\nOutput:\nRed Red Brown Red Red Red Red Red Red Orange\nRed Red Brown Red Red Red Red Red Red Orange\nGreen Green Green Green Green Green Green Green Red Orange\nOrange Red Brown Red Red Red Red Red Red Orange\nRed Red Brown Red Red Red Red Red Red Orange\nRed Red Red Red Red Red Red Red Red Orange\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Green Red Red Red Red Red\nRed Red Red Red Green Red Red Red Red Red\nRed Red Red Red Green Red Red Red Red Red\nRed Red Red Red Green Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Brown Black Black Black Yellow\nPink Black Black Black Black Brown Black Black Black Yellow\nPink Black Black Black Black Brown Black Black Black Yellow\nPink Black Black Black Black Black Black Black Black Yellow\nPink Black Black Black Black Black Black Black Black Yellow\nPink Black Gray Gray Gray Black Black Black Black Gray\nPink Black Black Black Black Black Black Black Black Gray\nPink Black Black Black Black Black Black Black Black Gray\nPink Black Orange Purple Orange Black Black Black Black Gray\nBlue Blue Blue Purple Blue Black Black Black Black Gray\nBlack Black Black Purple Black Black Black Black Black Gray\nBlack Black Black Purple Black Black Black Black Black Gray\nBlack Black Black Purple Black Black Black Black Black Gray\nBlack Black Black Purple Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Brown Red Red Red Yellow\nPink Red Red Red Red Brown Red Red Red Yellow\nPink Red Red Red Red Brown Red Red Red Yellow\nPink Red Red Red Red Red Red Red Red Yellow\nPink Red Red Red Red Red Red Red Red Yellow\nPink Red Gray Gray Gray Red Red Red Red Gray\nPink Red Red Red Red Red Red Red Red Gray\nPink Red Red Red Red Red Red Red Red Gray\nPink Red Orange Purple Orange Red Red Red Red Gray\nBlue Blue Blue Purple Blue Red Red Red Red Gray\nRed Red Red Purple Red Red Red Red Red Gray\nRed Red Red Purple Red Red Red Red Red Gray\nRed Red Red Purple Red Red Red Red Red Gray\nRed Red Red Purple Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Gray Black Black Black Blue Black Black Black\nGray Gray Gray Gray Gray Gray Blue Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Red Red Red\nRed Red Red Red Red Red Blue Red Red Red\nRed Red Red Red Red Red Blue Red Red Red\nRed Red Gray Red Red Red Blue Red Red Red\nGray Gray Gray Gray Gray Gray Blue Red Red Red\nPurple Purple Purple Purple Purple Purple Red Red Red Red\nRed Red Gray Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nPurple Purple Purple Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Yellow Yellow Yellow Yellow Yellow Red Red Red Red\n```", "role": "assistant" } ]

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

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

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

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red 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 Red Red Red Red Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\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 Blue Blue Blue Blue 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\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]

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

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

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```", "role": "assistant" } ]

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

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

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

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

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

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

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Orange Orange Orange Orange Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Orange Orange Orange Orange Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Orange Orange Orange Orange Black Black Black Black Black\nPurple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple 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 Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\n\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 Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Green Green Green Green Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink 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 Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Green Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Orange Purple Black Black Black Black Black Black Black\nBlack Black Brown Pink Blue Black Black Brown Green Gray Black Black Black Black Black Black Black\nBlack Black Brown Purple 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\nBlack Black Black Black Black Black Black Black Black Green Blue Green Red Black Black Black Black\nBlack Yellow Pink Brown Pink Black Black Black Black Brown Yellow Pink Orange Black Black Black Black\nBlack Yellow Yellow Pink Yellow Black Black Black Black Red Purple Pink Pink Black Black Black Black\nBlack Purple Blue Orange Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Yellow Gray 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\n\nOutput:\nBlack Yellow Pink Brown Pink\nBlack Yellow Yellow Pink Yellow\nBrown Pink Blue Green Gray\nBrown Purple Pink Orange Purple\nBlack Red Brown Green Gray\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 Orange Blue Black Black\nBlack Brown Orange Black Black Brown Brown Pink Black Black Black Yellow Gray Black Black\nBlack Blue Pink Black Black Blue Brown Purple Black Black Black Gray Yellow Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Purple Yellow 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 Purple Red Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Green Blue Black Black Black Black Black Black\nBlack Black Black Black Black Pink Brown Orange Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Red Green Brown Brown Pink\nBrown Brown Orange Blue Brown Purple\nPink Brown Yellow Orange Orange Black\nBlack Black Gray 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Green Blue Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Pink Orange Pink Black Black Black Black Black Red Pink Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Yellow Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Orange Green Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Pink Gray\nBlack Black Green Yellow Red\nYellow Green Blue Brown Green\nGreen Pink Orange Pink 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 Yellow Purple Brown Purple Black Black Black Black Black Black\nBlack Black Black Black Brown Red Purple Blue Black Black Black Black Black Black\nBlack Yellow Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Red Red Blue Black Black Black Black Black\nBlack Black Black Black Black Black Pink Gray Brown Black Black Black Black Black\nBlack Black Black Black Black Black Gray Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Gray Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nYellow Purple Brown Purple\nBrown Red Purple Blue\nBlack Pink Green Green\nBlack Gray Green Green\nBlack Yellow Gray Red\n```", "role": "assistant" } ]

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

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

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

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

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 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 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 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 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 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 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 Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black 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\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\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\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\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red 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\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\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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red 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 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black 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 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 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 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 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 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 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 Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red 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 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 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 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 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red 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 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 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 Red Red Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]

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

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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\nBrown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\n\nOutput:\nRed\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 Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nYellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\n\nOutput:\nPink\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 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nYellow\n```", "role": "assistant" } ]

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

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

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink 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 Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\n\n\nExample 2\nInput:\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```", "role": "assistant" } ]

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Red Red Red Black Red Black Red Red 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\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Black\nBlack Black Yellow Red Red Red Yellow Red Yellow Red Red Black\nBlack Black Red Red Red Red Red Red Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Black Red Black\nBlack Black Black Red Red Red Black Red Black\nBlack Black Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Black\nBlack Black Yellow Red Red Red Yellow Red Black\nBlack Black Yellow Red Red Red Yellow Red Black\nBlack Black Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black\nBlack Black Black Black Red Red Red Red Black\nBlack Black Black Black Red Black Red Red Black\nBlack Black Black Black 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 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 Yellow Yellow Red Red Black\nBlack Black Black Black Red Red Red Red Black\nBlack Black Black Black Red Yellow Red Red Black\nBlack Black Black Black Red Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Yellow Yellow Red Red Black Black Black\nBlack Black Red Red Yellow Yellow Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow 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 Brown Brown Black Black Black\nBlack Black Black Brown Brown Black Black Black\nBlack Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow 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 Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]

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

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

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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\nBlack Red Red Black\nBlack Red Red Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow 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\nBlack Black Red Black Black Black\nBlack Red Red Black Black Black\nBlack Black Red Red Red Black\nBlack Black Red Red Black Black\nBlack Black Red Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Red Black Black Black Black\nBlack Red 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\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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]

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

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

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

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

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

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green 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\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Purple Purple Purple Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Pink Pink Pink Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Pink Pink Pink Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Pink Pink Pink Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple 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 Purple Purple Purple 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]

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

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Yellow Green Yellow Green Black Black Black Black\nBlack Yellow Green Yellow Green Yellow Black Black Black Black\nBlack Green Yellow Green Yellow Green Black Black Black Black\nBlack Yellow Green Yellow Green Yellow Black Black Black Black\nBlack Green Yellow Green Yellow Green Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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\nGreen Yellow Green Yellow Green Black Black Black Black Black\nYellow Green Yellow Green Yellow Black Black Black Black Black\nGreen Yellow Green Yellow Green Black Black Black Black Black\nYellow Green Yellow Green Yellow Black Black Black Black Black\nGreen Yellow Green Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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\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\nGreen Yellow Green Yellow Green Black Black Black Black Black\nYellow Green Yellow Green Yellow Black Black Black Black Black\nGreen Yellow Green Yellow Green Black Black Black Black Black\nYellow Green Yellow Green Yellow Black Black Black Black Black\nGreen Yellow Green Yellow Green 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 Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Yellow Green Yellow Green Black Black Black\nBlack Black Yellow Green Yellow Green Yellow Black Black Black\nBlack Black Green Yellow Green Yellow Green Black Black Black\nBlack Black Yellow Green Yellow Green Yellow Black Black Black\nBlack Black Green Yellow Green Yellow 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```", "role": "assistant" } ]

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) 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 Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\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 Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black 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 Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green\nBlack 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\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 Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black 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 Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\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 Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black 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 Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Orange Orange Orange Orange Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Blue Black Black Blue Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Blue Black Black Blue Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Orange Orange Orange Orange 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 Black Black Blue Blue 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Blue Blue Black Black\nBlack Black Orange Orange Black Orange Orange Black Black Black Black Black Black Blue Black Black Blue Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Blue Black Black Blue Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue 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 Black Black Blue Blue 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Blue Blue Black Black\nBlack Black Blue Blue Black Blue Blue Black Black Black Black Black Black Blue Black Black Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray Gray Black Gray Gray Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Gray Black Gray Gray Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]

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

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

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen 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 Blue\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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\n```", "role": "assistant" } ]

[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Black Yellow Black Yellow Yellow Black\nBlack Yellow Yellow Black Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Yellow Black\nYellow Black Yellow Black Black Black Green Green\nBlack Yellow Black Yellow Black Black Green Green\nYellow Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Yellow Black Yellow Yellow Black\nBlack Yellow Yellow Black Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Yellow Black\nYellow Black Yellow Black Black Black Yellow Yellow\nBlack Yellow Black Yellow Black Black Yellow Yellow\nYellow Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Yellow Black Black Black Black\nYellow Black Black Yellow Black Yellow Yellow\nYellow Black Black Yellow Black Yellow Black\nYellow Black Black Black Yellow Black Yellow\nBlack Green Green Black Yellow Yellow Black\nBlack Green Green Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nBlack Black Yellow Black Black Black Black\nYellow Black Black Yellow Black Yellow Yellow\nYellow Black Black Yellow Black Yellow Black\nYellow Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Yellow Yellow Black\nBlack Yellow Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Black\n\n\nExample 3\nInput:\nBlack Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Yellow Black Black\nYellow Yellow Black Yellow Black Yellow Yellow Black Yellow\nBlack Black Yellow Black Yellow Black Black Yellow Yellow\nBlack Black Yellow Green Green Black Yellow Black Yellow\nBlack Black Black Green Green Yellow Black Black Yellow\nBlack Black Yellow Yellow Black Yellow Black Black Yellow\n\nOutput:\nBlack Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Yellow Black Black\nYellow Yellow Black Yellow Black Yellow Yellow Black Yellow\nBlack Black Yellow Black Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Yellow Black Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Yellow\nBlack Black Yellow Yellow Black Yellow Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Yellow Black Yellow Yellow Black Yellow Yellow\nYellow Black Yellow Black Black Yellow Black Black Yellow\nYellow Yellow Black Yellow Black Black Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Black Yellow Black Yellow\nBlack Black Green Green Black Black Black Yellow Yellow\nBlack Yellow Green Green Yellow Black Black Black Yellow\nYellow Black Black Yellow Yellow Black Black Black Black\nBlack Yellow Black Yellow Black Yellow Black Black Black\nBlack Black Yellow Black Black Black Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nBlack Black Yellow Black Yellow Yellow Black Yellow Yellow\nYellow Black Yellow Black Black Yellow Black Black Yellow\nYellow Yellow Black Yellow Black Black Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Black Yellow Black Yellow\nBlack Black Yellow Yellow Black Black Black Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Black Black Black Yellow\nYellow Black Black Yellow Yellow Black Black Black Black\nBlack Yellow Black Yellow Black Yellow Black Black Black\nBlack Black Yellow Black Black Black Yellow Black Black\n```", "role": "assistant" } ]

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